If the absolute temperature of a star doubles but its radius halves, then the rate of radiation from the star:
1. increases \(4\) times
2. increases \(2\) times
3. remains unchanged
4. decreases \(2\) times
Subtopic:  Radiation |
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Level 2: 60%+

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A steel rod, insulated at its sides, is inserted into a high temperature oven – as shown in the figure. The end of the rod is blackened and is observed to be at a temperature \(T_b,\) and the temperature of the surroundings is \(T_S.\) The conductivity of steel is \(K,\) and Stefan's constant is \(\sigma.\) The temperature of the oven is (all temperatures are on absolute scale):
                   
1. \(T_S+\dfrac{L\sigma}{K}T_b^4\)
2. \(T_b+\dfrac{L\sigma}{K}(T_b-T_S)^4\)
3. \(T_b+\dfrac{L\sigma}{K}(T_b^4-T_S^4)\)
4. \(\left\{T_b^4+\dfrac{L\sigma}{K}(T_b^4-T_S^4)\right\}^{1/4}\)


 
Subtopic:  Radiation |
 64%
Level 2: 60%+

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