OBJECTIVE QUESTIONS 6

Heat
Kinetic Theory of Gases-Laws
Q.1         Two gasses X and Y having the same temperature T, same pressure p and same volume V are mixed. If the mixture is at the same temperature T and occupies the same volume V, the pressure of the mixture is
                                (a)           2p                           (b)           p                              (c)           p/2                          (d)           4/p
Q.2         Two vessels having equal volume contain molecular hydrogen at one atmosphere and helium at two atmosphere respectively. If both samples are at the same temperature, the rms speed of hydrogen molecules is


(a)           equal to that of helium                                                       (b)           twice that of helium
(c)           half that of helium                                                              (d)           Ö2 times that of helium


Q.3         The molecules of a given mass of an ideal gas have rms speed of 300m/s at 37°C and 2 ´ 105 Pa. When the temperature is 967°C and the pressure is 6´105Pa, the rms value in m/s is


(a)           600Ö3                    (b)           600Ö2                    (c)           600                         (d)           1200


Q.4         The rms speed of the molecules of hydrogen at 27 °C is v1 and the rms speed of oxygen at  402°C is v2, then


(a)           3v1 = 8v2                         (b)           8v1 = 3v2                         (c)           9v1 = 4v2                         (d)           4v1 = 9v2


Q.5         At identical temperatures, the rms speed of hydrogen molecules is 4 times that for oxygen molecules. In a mixture the two gases are present in the mass ratio of 1:8 respectively. The rms speed of all molecules of the mixture is n times the rms speed for oxygen molecules, where n is


(a)           3                              (b)           4/3                          (c)           (8/3)1/2                              (d)           (11)1/2


Q.6         At room temperature the rms speed  of the molecules of a certain diatomic gas is found to be 1930m/s. The gas is


(a)           H2                                         (b)           F2                                           (c)           O2                                          (d)           C12


Q.7         Three closed vessels A,B and C are at the same temperature and contain gases which obey Maxwellian distribution of velocities. Vessels A contains only O2, B only N2 and C a mixture of equal quantities of O2 and N2. If the average speed of  O2 molecules in vessels A is v1 that of the N2 molecules in vessel B is v2, the average speed of the O2 molecules in vessel C is


(a)           (v1 + v2)1/2               (b)           v1                                           (c)           (v1  v2)1/2                 (d)           Ö3kT/M


where M is the mass of an oxygen molecule.
*Q.8       A mixture of two gases A and B is in thermal equilibrium
(a)           the rms speed of the molecules-A is equal to the rms speed of the molecules-B.
(b)           the average kinetic energy of molecules-A is equal to the average kinetic energy of molecules-B.
(c)           the heavier molecules move with smaller rms speed but average kinetic energy of heavier molecules is same as that of lighter molecules.
(d)           the heavier molecules move with smaller rms speed and they have a small average kinetic energy than those of lighter molecules.
Q.9         The energy of a gas per liter is 300J, then its pressure in N/m2 will be


(a)           3 ´ 105                             (b)           6 ´ 105                             (c)           105                                       (d)           2 ´ 105


Q.10       If the number of molecules of H2 are double than that of O2, then ratio of average kinetic energy of hydrogen and that of oxygen, both at 300 K is


(a)           1 : 1                        (b)           1 : 2                        (c)           2 : 1                        (d)           1 : 16


Q.11       At what temperature, the mean kinetic energy of O2 will be same for H2 molecules at- 73°C
(a)           127°C                    (b)           527°C                    (c)           -73°C                     (d)           -173°C
Q.12       The kinetic energy of oxygen at-23°C and 60cm pressure is 120J, when its volume is one liter. The kinetic energy of hydrogen having volume one liter, temperature 227°C and pressure 120 cm will be
(a)           480J                       (b)           960J                       (c)           240J                       (d)           120J
Q.13       A box containing N molecules of a perfect gas at temperature T1 and pressure p1. The number of molecules in the box is doubled keeping the mean energy of the gas same as before. If the new pressure is p2 and temperature T2, then
(a)           p2 = p1, T2 = T1       (b)           p2 = p1, T2 = T1/2       (c)           p2 = 2p1, T2 = T1       (d)           p2 = 2p1, T2 = T1/2
Q.14       A box containing N molecules of a perfect gas at temperature T1 and pressure p1. The number of molecules in the box is doubled, keeping the total kinetic energy of the gas same as before. If the new pressure is p2 and temperature T2, then
(a)           p2 = p1, T2 = T1                                                                       (b)           p2 = p1, T2 = T1/2
(c)           p2 = 2p1, T2 = T1                                                                    (d)           p2 = 2p1, T2 = T1/2.
Q.15       An ideal gas is found to obey an additional law Vp2 = constant. The gas is initially at temperature T and volume V. When it expands to a volume 2V, the temperature becomes
(a)           TÖ2                         (b)           2T                           (c)           T/Ö2                       (d)           4 T
Q.16       An ideal gas expands in such a manner that its pressure and volume comply with the condition pV2 = constant. During this process, the gas is 
(a)           heated                                                                                    (b)           cooled
(c)           neither heated not cooled                                                 (d)           first heated and then cooled.
Q.17       Two jars A and B contains Helium and Oxygen at the same temperature and at pressure of 1 atm and 4 atm respectively. If E1 and E2 be the average kinetic energy of translation per per molecule of each gas then
(a)           E1 = 8 E2                (b)           E2 = 8 E1                (c)           E1 =  E2                   (d)           E1 = 4 E2




ANSWER SHEET ( Kinetic Theory of Gases)
1.
(a)
2.
(d)
3.
(c)
4.
(a)
5
(d)
6.
(a)
7.
(b)
8.
(b), (c)
9.
(d)
10.
(a)
11.
(c)
12.
(c)
13.
(c)
14.
(b)
15.
(a)
16.
(b)
17.
(c)























Thermal Expansion
(Objective Question)
*Q.1    A hollow copper cylinder is heated, then its


(a)        internal diameter decreases                              (b)        external diameter increases
(c)        volume of metal increases                               (d)        density of material decreases.


Q.2      Two rods of different materials having co-efficient of thermal expansion a1, a2 and Young’s modulii Y1, Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If a1 : a2 = 2 : 3, the thermal stress developed in the two rods are equal provided   Y1 : Y2 is equal to


(a)        2 : 3                 (b)        1 : 1                 (c)        3 : 2                 (d)        4 : 9


*Q.3    A metallic circular disc having a circular hole at its centre is rotating about an axis passing through its centre and perpendicular to its plane. When the disc is heated


(a)        the speed of disc increases                              (b)        the diameter of hole decreases
(c)        the moment of inertia of disc increases                       (d)        the speed of disc decreases


Q.4      A crystal has a co-efficient of liner expansion 12 ´ 10-7/°C in one direction and 213 ´ 10-7/°C in every direction at right angles to it. The co-efficient of cubical expansion of the crystal is


(a)                36 ´ 10-7/°C                                                     (b)        639 ´ 10-7/°C  
(c)          273 ´ 10-7/°C                                                   (d)        438 ´ 10-7/°C


Q.5      A metallic hollow sphere of negligible co-efficient of cubic expansion just floats in water at 4°C. If the water is (i) heated to 6°C, (ii) cooled to 2°C, then


(a)                sphere sinks in both cases (i) and (ii)              
(b)               sphere floats in both cases (i) and (ii)
(c)        sphere sinks in both case (i) but floats in case (ii)       
(d)        sphere floats in both cases (i) but sinks in case (ii)


Q.6      A metal ball immersed in alcohol weighs W1 at 0°C and W2 at 59°C. The co-efficient of cubical expansion of the metal is less than that of the alcohol. Assuming that the density of the metal is large compared to that of alcohol, it can be shown that


(a)        W1 > W2           (b)        W1 = W2              (c)        W1 < W2           (d)        W2 = (W1/2)


Q.7      A block of wood is floating on water at 0°C with certain volume v above water. The temperature of water is slowly raised from 0°C to 15°C, then the volume v will
(a)        remain unchanged                                           (b)        decrease
(c)        first increase then decrease                              (d)        first decrease then increase
Q.8      In the previous question, the distance between the holes will
(a)                increase                                                          
(b)               decrease
(c)        remain constant    
(c)                may either increases or decrease depending on the positions of the holes on the sheet and on the ratio d1/d2.
Q.9      A metal wire of length ò and area of cross-section A is fixed between rigid supports at negligible tension. If this is cooled, the tension in the wire will be
(a)        proportional to ò                                               (b)        inversely proportional to ò
(c)        independent of ò                                                          (d)        independent of A
Q.10    Two metal rods of the same length and area of cross-section are fixed end to end between rigid supports. The materials of the rods have Young modulii Y1 and Y2, and coefficients of linear expansion a1 and a2. The junction between the rods does not shift if the rods are cooled
(a)        Y1a1 =Y2a2      (b)       Y1a2 =Y2a1       (c)        Y1a21 =Y2a22    (d)        Y12a1 =Y22a2
Q.11    When the temperature of a body increases from t to t +t, its moment of inertia increases from I to  I + I. The coefficient of linear expansion of the body is a. The ratio I/I is equal to
(a)        t/t                              (b)        2t/t                (c)        at                 (d)        2at
Q.12    A horizontal tube, open at both ends, contains a column of liquid. The length of this liquid column does not change with temperature. Let g = coefficient of volume expansion of the liquid and a = coefficient of linear expansion of the martial of the tube
(a)        g = a                                                    ( b)       g = 2a
(c)        g = 3a                                      (d)        g = 0
Q.13    A solid whose volume does not change with temperature floats in a liquid. For two different temperature t1 and t2 of the liquid, frictions f1 and f2 of the volume of the solid remain submerged in the liquid. The coefficient of volume expansion of the liquid is equal to
(a)        f1-f2 /f2t1-f1t2         (b)     f1-f2/f1t1-f2t2       (c)        f1+f2/f2t1+f1t2    (d)        f1+f2/f1t1+f2t2
Q.14    A solid with coefficient of linear expansion a just floats in a liquid whose coefficient of volume expansion is heated, the solid will
(a)        sink in all causes                                              (b)        continue to float in all cases     
(c)        sink if g  > 3a                                                              (d)        sink if g < 3 a   
Q.15    The moment of inertia of a body is I and the linear coefficient of expansion is a.  If the temperature rises by a small amount Dq, then the change in the moment of inertia is approximately
(a)        a I (Dq)                        (b)        2 a I (Dq)         (c)        4 a I (Dq)         (d)        a I (Dq)/2
*Q.16  A bimetallic strip is formed out of two identical strips, one of copper and the other of brass. The coefficients of linear expansion of two metals are ac and aB. On heating, the temperature of the strip goes up by DT and the strip bends to form an are of circle of radius R. Then R is
(a)               proportional to T                                              (b)        inversely proportional to T
(b)               proportional to             | aA- aB  |                                 (d)        inversely proportional to | aA- aC |

*Q.17  The temperature of an isotropic cubical solid of length L, density d and coefficient of linear expansion a per Kelvin is raised by 10°C, then at this temperature to a good approximation
(a)               length is L (1 + 10 a)
(b)               total surface area is L (1 + 2a)
(c)                density is d (1 + 30 a)
(d)               density is d/ (1 + 30 a)
Q.18    Two rods of lengths l1 (aluminimum) and l2 (steel having thermal coefficient of linear expansion aA and as respectively are connected end-to-end. Change in temperature DT produces equal changes in their lengths. The ratio l1/(l1 + l2) is
                        (a)        aA/ aS                                                         (b)        aA/ (aA + aS)
                        (c)        aS/ (aA + aS)                                       (d)        aS/ aA

ANSWER SHEET

Thermal Expansion
1.
(b), (c), (d)
2.
(c)
3.
(c), (d)
4.
(d)
5.
(a)
6.
(c)
7.
(c)
10.
(a)
8.
(a)
9.
(c)
11.
(d)
12.
(b)
13.
(a)
14.
(c)
15.
(b)
16.
(b), (d)
17.
(a), (d)
18.
(c)






Thermal Conduction & Radiation

  
Q.1      Two identical vessels A and B having the same thickness of walls, but their thermal conductivities are KA and KB. Both are filled with the same quantity of ice. If the time taken for melting the ice fully is 20 s and 30 s respectively, then the ratio KA and KB will be


(a)        4 : 9                 (b)        2 : 3                 (c)        3 : 2                 (d)        9 : 4


Q.2      Two rods A and B are of equal lengths. Their ends are kept between the same temperature and their area of cross – sections are A1 and A2 and thermal conductivities k1 and k2. The rate of heat transmission in the two rods will be equal, if


(a)        k1 A2 = k2 A1     (b)        k1 A1 = k2 A2     (c)        k1 = k2              (d)        k1 A12 = k2 A22


Q.3      Wires A and B have identical lengths and have circular cross sections. The radius of A is twice the radius of B i.e,RA = 2RB. For a given temperature difference between the two ends, both wires conduct heat at the same rate. The relation between the thermal conductivities is given by


(a)        kA = 4kB               (b)        kA = 2kB               (c)        kA = kB/2          (d)        kA = kB/4


Q.4      Two identical plates of different metals as joined to form a single plate whose thickness of each plate. If the co-efficients of conductivity of each plate are 2 and 3 units respectively, then the conductivity of the composite plate will be


(a)        5                      (b)        2.4                   (c)        1.5                   (d)        1.2


Q.5      A wall has two layers A and B, each made of different materials. Both the layers have the same thickness. The thermal conductivity of the material A is twice that of B. Under thermal equilibrium, the temperature difference across the wall is 36°C. The temperature difference across the layer A is


(a)        6°C                  (b)        12°C                (c)        8°C                  (d)        24°C


Q.6      A cylinder of radius R made of a material of thermal conductivity k1 is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity k2. The two ends of the combined system are maintained at two different temperatures. There is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system is


(a)        k1 + k2              (b)        k1 k2/ (k1 + k2)   (c)        k1 + 3k2) /4       (d)        (3 k1 + k2) /4


Q.7      Two different metallic rectangular blocks A and have the same cross section and length. They are kept in contact with their cross sections together. One end of block A is at temperature 100°C while the far end of blocks B is at 0°C. If the condctivity co – efficient of A and B are in the ratio 1:3, the temperature of the junction in the steady state is


(a)        25°C                (b)        50°C                (c)        75°C                (d)        100°C


Q.8      The thermal conductivity of a metal is 1600 W/m.K. In the steady state the temperature gradient which will transmit 400´103 W/m2 of heat energy should be


(a)        100°C              (b)        120°C              (c)        250°            (d)        200°C


Q.9      A rod of length 0.5m is heated at one end. On the steady state the temperatures at the ends of the rod are 100°C and 0°C. The temperature at a point distance 10cm from the hot end will be


(a)        80°C                (b)        60°C                (c)        40°C                (d)        20°C


Q.10    Four identical rods each of length l and of the same material are joined end-to-end to form a square. If the temperature difference between the ends of a diagonal is 100°C, then the temperature difference between the ends of other diagonal will be


(a)        0°C                  (b)        100/l°C                        (c)        100/2l°C          (d)        100°C



Q.11    A sphere, a cube and a thin circular plate made up of same material and having the same mass are initially heated to a temperature of 200°C. Which of these objects will cool slowest, when left in air at room temperature


(a)        sphere                                                              (b)        cube
(c)        circular path                                                     (d)        all will cool at the same rate


Q.12    A body at 300°C radiates 105J/m2. If sun radiates 109W/m2, then its temperature is


(a)        3000°C                        (b)        5457°C                        (c)        300 ´ 104°C     (d)        5730°C


Q.13    A bucket full of water cools from 75°C to 70°C in time t1, from 70° to 65°C in time t2 and from 65° in 65°C in time t3, then


(a)        t1 = t2 = t3            (b)        t1 > t2 > t3            (c)        t1 < t2 < t3            (d)          t1 > t2 < t3


Q.14    If the emissive power and the absorptivity of a body at temperature T is E and A respectively, then the emissive power of the black-body at temperature T will be


(a)        E/A                   (b)        E/A.T                (c)        EA                    (d)        EA/T  


Q.15    The ratio of wavelengths of emissive corresponding to the maximum emission in the spectrum of a black – body heated to temperature 1000K and 2000K respectively is


(a)        ¼                     (b)        ½                     (c)        2                      (d)        4


Q.16    Two black – bodies A and B emit radiations with peak intensities at wavelengths 400nm and 800nm respectively. If their temperatures are TA and TB respectively in kelvin scale and their emissive powers are EA and EB then


(a)        TA/TB  = 2         (b)        EA/EB = 2          (c)        EA/EB = 8          (d)        EA/EB = 16


Q.17    If the temperature of the sun becomes twice its present value, then radiated energy would be predominantly in the


(a)        ultraviolet region                                              (b)        X – rays region
(c)        Infra red region                                                            (d)        Visible region


Q.18    A solid sphere and a hollow sphere of the same material having equal radii are at the same temperature at the instant t = 0
(a)        At t = 0, both will emit equal amount of energy per second
(b)        At t = 0, both will absorb equal amount of energy from the surroundings
(c)        At t = 0, the rate of cooling i.e., dT/dt will be the same
(d)        At t > 0, the two spheres will have lower but equal temperatures
Q.19    Two bodies A and B have thermal emissivities 0f 0.01 and 0.81 respectively. The outer surface areas of the two bodies are the same. The two bodies emit total radiation power at the same rate. The wavelength lB corresponding to maximum spectral radiancy in the radiation from B is shifted from the wavelength corresponding to maximum spectral radiancy in the radiation from A, by 1.0mm. If the temperature of A is 5802K.


(a)               The temperature of B is 1934K                       
(b)               lB = 1.5mm
(c)                The temperature of B is 11604K         
(d)               The temperature of B is 2901K
Q.20    Heat is transferred most rapidly by the process of
(a)        Conduction      (b)        Convection      (c)        Radiation         (d)        combustion
Q.21    The high thermal conductivity of metal is due to free electrons. The relevant electron property :
                        (a)        Its being charged                                              (b)        Convection
                        (c)        Radiation                                                         (d)        Combustion
Q.22    A metallic rod is continuously heated at its two ends, the flow of heat through the rod does not depend upon :
(a)               The area of cross-section of the rod                (b)        The mass of the rod
(c)        Time                                                                (d)        The temperature gradient
Q.23    The quantity of heat which crosses unit area of a metal plate during conduction depends upon :
(a)               The density of the metal                                 
(b)               The temperature gradient perpendicular to the area
                        (c)        The temperature to which the metal is heated  (d)        The area of the metal plate
Q.24    The coefficient of thermal conductivity of a metal depends on :
                        (a)        Temperature difference between the two sides            (b)        Thickness of the metal
                        (c)        Area of the plate                                              (d)        None of the above
Q.25    The S.I. unit of thermal conductivity is :
                        (a)        Js-1mK-1           (b)        Js m-1K-1          (c)        Js m-1K                        (d)        J s-1 m-1 K-1                 
Q.26    If K and s respectively are the thermal and electrical conductivities of a metal at a absolute temperature T, then :
                        (a)        K/sT = constant                                               (b)        K/s = constant
                        (c)        K/T = constant                                                             (d)        KL = constant
Q.27    Two end of rods of length L and radius r of the same material are kept at the same temperature. Which of the following rods conducts most heat :
(a)        L = 50 cm, r = 1 cm                                         (b)        L = 100 cm, r = 2 cm
                        (c)        L = 25 cm, r = 0.5 cm                                      (d)        L = 75 cm, r = 1.5 cm
Q.28    A 2 cm thick slab of commercial thermocole, 100 cm2 in cross-section and having thermal conductivity 2 ´ 10-4 cal sec-1 cm-1 (C°)-1 has insulating regions differing by 100°C. The quantity of heat flowing through it in a day will be :           
(a)        20.4 kcal          (b)        43.2 kcal          (c)        86.4 kcal          (d)        63.6 kcal
Q.29    One end of copper rod of length 1.0 m and area of cross-section 10-3 m2 is immersed in boiling water and the other end in ice. If the coefficient of thermal conductivity of copper is 92 cal/m s C° and the latent heat of ice is 8 ´ 10-4 cal/kg, then the amount of the ice which will melt in one minute is : 
(a)        9.2 ´ 10-3 kg                                                    (b)        8 ´ 103 kg
                        (c)        6.9 ´ 10-3 kg                                                    (d)        5.4 ´ 10-3 kg
Q.30    Four identical copper cylinders are painted; if they are all heated to the same temperature and left in vacuum, which will cool most rapidly.
                        (a)        Painted shiny white                              (b)        Painted rough black
                        (c)        Painted shiny black                              (d)        Painted rough white
Q.31    A polished metal with rough black spot on it is heated to about 1400 K and quickly taken to a dark room. Which one of the following statements will be true?
(a)               The spot will appear brighter than the plate    
(b)               The spot will appear darker than the plate
(c)                The spot and plate will be equally bright
(d)               The spot and plate will not be visible in dark
Q.32    A piece of red glass when heated in dark to red hot state will appear to be :
(a)        White               (b)        Red                  (c)        Green               (d)        Invisible
Q.33    Fraunhofer lines in the spectrum of sun are explained by :
(a)        Wien’s law       (b)        Planck’s law    (c)        Newton’s law   (d)        Kirchhoff’s law
Q.34    The total radiation emitted by a perfectly black body is proportional to :
(a)               Temperature on ideal gas scale                        (b)        Fourth root of temperature on ideal gas scale
(c)        Fourth power of temperature on ideal gas scale 
(d)        Square of temperature on ideal gas scale
Q.35    If the temperature of the sun is doubled, the rate of energy received on earth will be increased by a factor of :
(a)        2                      (b)        4                      (c)        8                      (d)        16
Q.36    A black body at a high temperature T K radiates energy at the rate E watt/m2; when the temperature falls to (T/2) K the radiated energy will be :
(a)        E/4                   (b)        E/2                   (c)        2E                    (d)        E/16
Q.37    The temperature of a body is increased from 27°C to 127°C. The radiation emitted by it increase by a factor of :
                        (a)        (256/81)           (b)        (15/9)               (c)        (4/3)                 (d)        (12/27)

Q.38    According to Newton’s law of cooling (provided the difference of temperature is small) the rate of loss of heat is proportional to :
(a)               The excess temperature                                   (b)        The square of the excess temperature
(b)               The cube of the excess temperature     (d)        The fourth power of the excess temperature
Q.39    A body in a room cools from 90°C to 80°C in 5 minute. The time taken to cool from 70°C to 60°C is :
(a)        5 minute                                              (b)        Less than 5 minute
(c)        More than 5 minute
(d)        Less or more than 5 minute depending on the nature of the liquid.
Q.40    In a room where the temperature is 30°C a body cools from 61°C to 59°C in 4 minute. The time taken by the body to cool from 51°C to 49°C will be :
(a)        4 minute          (b)        6 minute          (c)        5 minute          (d)        8 minute
Q.41    A pan filled with hot food cools from 500°C to 49.9 C in 5 sec. How long will it take to cool from 40.0 °C to 39.9°C if the room temperature is 30°C?
(a)        2.5 s                 (b)        10 s                  (c)        20 s                  (d)        5 s
Q.42    As the temperature of a black body increases, the wavelength of the emitted radiation of maximum intensity
                        (a)        Increases                                              (b)        Decreases       
(c)        Remains unchanged                             (d)        Depends on the material of the black body
Q.43    According to Wien’s displacement law :
                        (a)        Increases                                              (b)        Decreases       
(c)        Remains unchanged                             (d)        Depends on the material of the black body
Q.44    The intensity of radiation emitted by the sun has its maximum value at a wavelength of 510 nm and that emitted by the North Star has the maximum value at 350 nm. If these stars behave like black bodies, th4en the ratio of the these stars bodies, then the ratio of the surface temperature of the Sun and the North Star is : 
(a)        1.46                 (b)        0.69                 (c)        1.21                 (d)        0.83
Q.45    A black body is at a temperature of 2800K. The energy of radiation emitted by this object with wavelength between 499nm and 500nm is U1, between 999 nm and 1000nm is U2 and between 1499nm and 1500nm is U3. The Wein’s constant, b =2.88 x 106nm –K. Then:
(a)        U1 =0               (b)        U3 =0               (c)        U1 >U2             (d)        U2 >U1
Q.46    A spherical black body with a radius of 12cm radiates 450W power at 500K. if the radius  were halved and the temperature doubled, the power radiated in watt would be                                         
(a)        225                  (b)        450                  (c)        900                  (d)        1800
Q.47    A black body at a temperature of 1640 K has the wavelength corresponding to maximum emission equal to      1.75 m. Assuming the moon to be a perfectly black body, the temperature of the moon, if the wavelength corresponding to maximum emission is 14.35m is :
(a)        100K               (b)        150 K              (c)        200                  (d)        250
Q.48    According to Newton’s law of cooling, the rated cooling of a body is proportional to (Dq)n, when Dq is the difference of the temperature of the body and the surroundings and n is equal to  
(a)               Two                 (b)        three                (c)        four                 (d)        one
Q.49    In the Ingen Hauze’s experiment the was melts upto length 10 and 25 cm on two identical rods of different materials. The ratio of thermal conductivities of the two materials is :
(a)        1 : 6.25                        (b)        625 : 1             (c)        1 : Ö2.5                        (d)        1 : 2.5
Q.50    A black body is at a temperature 300 K. It emits energy at a rate, which is proportional to :
(a)        300                  (b)        (300)3              (c)        (300)2              (d)        (300)4
Q.51    Two spheres of the same material have radii 1m and 4m and temperature 4000K and 2000 K respectively. The ratio of the energy radiated per second by the first sphere to that by the second is :
(a)        1 : 1                 (b)        16 : 1               (c)        4 : 1                 (d)        1 : 9
Q.52    Infrared radiation is detected by :
                        (a)        spectrometer    (b)        pyrometer        (c)        nanometer        (d)        photometer
Q.53    A hot and a cold body are kept in vacuum separated from each other. Which of the following will cause decrease in temperature of the hot body?
(a)        Radiation                                             (b)        Convection     
(c)        Conduction                                          (d)        Temperature remains unchanged 
Q.54    A black body at 1227°C emits radiation with maximum intensity at a wavelength of 5000Å. If the temperature of the body is increased by 1000°C, the maximum intensity will be observed at :
                        (a)        4000 Å                        (b)        5000 Å                        (c)        6000 Å                        (d)            3000 Å
           







ANSWER SHEET
1.
(c)
2.
(b)
3.
(d)
4.
(b)
5.
(b)
6.
(c)
7.
(a)
8.
(c)
9.
(a)
10.
(a)
11.
(a)
12.
(b)
13.
(c)
14.
(a)
15.
(c)
16.
(a), (d)
17.
(a)
18.
(a), (b)
19.
(a), (b)
20.
(c)
21.
(c)
22.
(b)
23.
(b)
24.
(d)
25.
(d)
26.
(a)
27.
(b)
28.
(c)
29.
(c)
30.
(b)
31.
(a)
32.
(d)
33.
(d)
34.
(c)
35.
(d)
36.
(d)
37.
(a)
38.
(a)
39.
(a)
40.
(b)
41.
(b)
42.
(b)
43.
(b)
44.
(b)
45.
(d)
46.
(d)
47.
(c)
48.
(d)
49.
(a)
50.
(d)
51.
(a)
52.
(b)
53.
(a)
54.
(d)














   

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