If the temperature of the body is increased from \(-73^{\circ}\mathrm{C}\)$\mathrm{}$ to \(327^{\circ}\mathrm{C}\)$\mathrm{}$, 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 |

84%

From NCERT

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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 \(Q\)?

1. \(\frac{Q}{4\pi R^2\sigma}\)

2. \(\left(\frac{Q}{4\pi R^2\sigma}\right )^{\frac{-1}{2}}\)

3. \(\left(\frac{4\pi R^2 Q}{\sigma}\right )^{\frac{1}{4}}\)

4. \(\left(\frac{Q}{4\pi R^2 \sigma}\right)^{\frac{1}{4}}\)

Subtopic: Stefan-Boltzmann Law |

83%

From NCERT

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 |

78%

From NCERT

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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 |

74%

From NCERT

NEET - 2017

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If the sun’s surface radiates heat at $6.3\times {10}^{7}$ ${\mathrm{Wm}}^{-2}$then the temperature of the sun, assuming it to be a black body, will be:

$\left(\mathrm{\sigma}=5.7\times {10}^{-8}\right)$ ${\mathrm{Wm}}^{-2}{\mathrm{K}}^{-4}$

1. $5.8\times {10}^{3}$ $\mathrm{K}$

2. $8.5\times {10}^{3}$ $\mathrm{K}$

3. $3.5\times {10}^{8}$ $\mathrm{K}$

4. $5.3\times {10}^{8}$ $\mathrm{K}$

Subtopic: Stefan-Boltzmann Law |

59%

From NCERT

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The temperature of an object is \(400^{\circ}\mathrm{C}\)$\mathrm{}$. 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. \(800^{\circ}\mathrm{C}\)$\mathrm{}$

4. 800 K

Subtopic: Stefan-Boltzmann Law |

58%

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Which of the following graphs correctly represents the relation between \(ln~E\) and \(ln~T\) where \(E\) is the amount of radiation emitted per unit time from a unit area of a body and \(T\) is the absolute temperature?\(\left (Take~\sigma =5.67\times 10^{-8} ~W~m^{-2}~K^{-4}~and~0<\epsilon <1 \right )\)

1. | 2. | ||

3. | 4. | Both 1 and 3 |

Subtopic: Stefan-Boltzmann Law |

From NCERT

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