- 1(current)
Q. No.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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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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- 1(current)
Q. No.
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