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Question (31)
QN0035772

A black body is at a temperature of . The energy of radiation emitted by this object with wavelength between  and  is , between  and  is  and between  and  is . Wien's constant . Then

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

From Wien's law,  constant, where  is the temperature of black body and  is the wavelength corresponding to maximum energy of emission. Energy distribution of black body radiation is given below:
(i)  and  are not zero because a black body emits radiations of nearly all wavelengths.

(ii) Since  corresponding to lower wavelength,  corresponds to higher wavelength and  corresponds to medium wave length, hence .

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Question (32)
QN0035773

A metal ball of surface area 200 square , temperature  is surrounded by a vessel at . If the emissivity of the metal is 0.4 , then the rate of loss of heat from the ball is approximately 

  • (A)

    108 joule             

  • (B)

    182 joule

  • (C)

    168 joule

  • (D)

    192 joule

Correct Answer: C
Explanation:

According to Stefan's Law, the rate of loss of heat is

here  sec. ,

So,

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Question (33)
QN0035774

The rectangular surface of area  of a black body at temperature  emits energy  per second. If the length and breadth are reduced to half of the initial value and the temperature is raised to , the rate of emission of energy becomes

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

area  increases by a factor .

Area increases by a factor .

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Question (34)
QN0035775

Assuming the sun to have a spherical outer surface of radius , radiating like a black body at temperature , the power received by a unit surface, (normal to the incident rays) at a distance  

from the centre of the sun is       

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

Power radiated by the sun at

Power received by a unit surface

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