If the temperature of the body is increased from \(-73^{\circ}\mathrm{C}\) to \(327^{\circ}\mathrm{C}\), then the ratio of energy emitted per second in both cases is:
1. 1 : 3                         
2. 1 : 81
3. 1 : 27                       
4. 1 : 9

Subtopic:  Stefan-Boltzmann Law |
 85%
Level 1: 80%+

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If the radius of a star is \(R\) and it acts as a black body, what would be the temperature of the star at which the rate of energy production is \(Q?\)\(\left(\sigma~ \text{is Stefan-Boltzmann constant}\right)\)
1. \(\dfrac{Q}{4\pi R^2\sigma}\) 2. \(\left(\dfrac{Q}{4\pi R^2\sigma}\right )^{\dfrac{-1}{2}}\)
3. \(\left(\dfrac{4\pi R^2 Q}{\sigma}\right )^{\dfrac{1}{4}}\) 4. \(\left(\dfrac{Q}{4\pi R^2 \sigma}\right)^{\dfrac{1}{4}}\)
Subtopic:  Stefan-Boltzmann Law |
 86%
Level 1: 80%+
AIPMT - 2012

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The rate of heat emission from an ideal black body at temperature T is H. What will be the rate of emission of heat by another body of same size at temperature 2T and emissivity 0.25?

1. 16 H 2. 4 H
3. 8 H 4. 4.5 H
Subtopic:  Stefan-Boltzmann Law |
 80%
Level 1: 80%+

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A spherical black body with a radius of \(12\) cm radiates \(450\)-watt power at \(500\) K. If the radius were halved and the temperature doubled, the power radiated in watts would be:
1. \(225\)
2. \(450\)
3. \(1000\)
4. \(1800\)

Subtopic:  Stefan-Boltzmann Law |
 77%
Level 2: 60%+
NEET - 2017

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If the sun’s surface radiates heat at \(6.3\times 10^{7}~\text{Wm}^{-2}\) then the temperature of the sun, assuming it to be a black body, will be:
\(\left(\sigma = 5.7\times 10^{-8}~\text{Wm}^{-2}\text{K}^{-4}\right)\)
1. \(5.8\times 10^{3}~\text{K}\)
2. \(8.5\times 10^{3}~\text{K}\)
3. \(3.5\times 10^{8}~\text{K}\)
4. \(5.3\times 10^{8}~\text{K}\)

Subtopic:  Stefan-Boltzmann Law |
 62%
Level 2: 60%+

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The temperature of an object is \(400^{\circ}\mathrm{C}\). The temperature of the surroundings may be assumed to be negligible. What temperature would cause the energy to radiate twice as quickly? (Given, \(2^{\frac{1}{4}} \approx 1.18\))
1. \(200^{\circ}\mathrm{C}\)
2. \(200\) K
3. \(800^{\circ}\mathrm{C}\)         
4. \(800\) K

Subtopic:  Stefan-Boltzmann Law |
 63%
Level 2: 60%+

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Which of the following graphs correctly represents the relation between \(\mathrm{ln}~E\) and \(\mathrm{ln}~T\) where \(E\) is the amount of radiation emitted per unit time from a unit area of a body and \(T\) is the absolute temperature?\(\left (\text{Take}~\sigma =5.67\times 10^{-8} ~\text{Wm}^{-2}~\text{K}^{-4}~\text{and}~0<\epsilon <1 \right )\)
1. 2.
3. 4. Both 1 and 3
Subtopic:  Stefan-Boltzmann Law |
Level 4: Below 35%

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