The temperature of the surface of the Sun is nearly \(6000~\text{K}\) and the amount of total energy emitted by the Sun per second is \(4\times10^{26}~\text{J}.\) If the temperature of the surface of the Sun is \(18000~\text{K},\) then the amount of thermal radiation emitted by the same will be:
1. \(3.24\times10^{28}~\text{W}\) 
2. \(2.52\times10^{28}~\text{W}\) 
3. \(8\times10^{26}~\text{W}\) 
4. \(16\times10^{27}~\text{W}\) 

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The emissivity of a body is given by    \(e={\Large\frac{1}{3}}\bigg(1+{\Large\frac{T}{400}}\bigg),\) where \(T\) is the absolute temperature of the body in the range:    \(200~\text K\leq T​ \leq800~\text K\)
When the temperature of the body increases from \(200~\text K\) to \(500~\text K,\) its emissivity:
1. decreases from \(\dfrac12\) to \(\dfrac14\)
2. increases from \(\dfrac12\) to \(\dfrac34\)
3. decreases from \(\dfrac12\) to \(\dfrac13\)
4. increases from \(\Large\frac12\) to \(\Large\frac23\)
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A thermos flask is polished well:
1. to make it attractive
2. for shining
3. to absorb all radiation from outside
4. to reflect all radiation from outside
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A black body of a given surface area at temperature \(T\) emits a certain amount of thermal radiation per second. If the temperature of the black body is doubled, the change of thermal radiation emitted will be:
1. \(2\) times more than the original value.
2. \(16\) times more than the original value.
3. \(\dfrac{1}{16}\) times the original value.
4. \(\dfrac{1}{2}\)times the original value.
Subtopic:  Radiation |
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Given below are two statements: 
Assertion (A): A body that is a good radiator is also a good absorber of radiation at a given wavelength.
Reason (R): According to Kirchhoff's law, the absorptivity of a body is equal to its emissivity at a given wavelength.
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.


 
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Given below are two statements: 
Assertion (A): For small difference in absolute temperature, compared with the temperature itself, the net rate of transfer of energy from a body to its surrounding by radiation is directly proportional to the temperature difference.
Reason (R): The net ratio of transfer of energy by radiation from a body (temperature \(T_b=T_S+\theta\)) to its surrounding (temperature \(T_S\)) is given by:
\(\dfrac{dQ}{dt}=eA\sigma(T_b^4-T_S^4)\\ ~~~~~~~=eA\sigma\left\{(T_S+\theta)^4-T_S^4\right\}\\ ~~~~~~~\approx4eA\sigma T^3_S\theta,~\text{where }\theta\ll T_S.\)
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
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