A radiation blackbody has the shape of a sphere of radius \(r.\) Its surface is at a temperature \(T\) (in Kelvin). If the temperature is doubled and the radius is halved, the total rate of radiation emitted from the body:
1. increases by a factor of \(4\)
2. increases by a factor of \(2\)
3. remains unchanged
4. decreases by a factor of \(2\) 
Subtopic:  Stefan-Boltzmann Law |
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Ice (\(0^{\circ}\)C) is kept in an insulated reservoir with an opening that is covered at the top with a cloth. When a black cloth \((B)\) is placed at the top, the ice melts at \(2\) g/\(3\) min. When an ordinary cloth \((G)\) is placed, the rate of melting is \(2\) g /\(5\) min. The emissivity of \(G\) is: (assuming that \(B\) behaves as a blackbody)
                       
1. \(0.6\) 2. \(0.3\)
3. \(0.4\) 4. \(0.5\)
Subtopic:  Stefan-Boltzmann Law |
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A solid at temperature \(T_1\), is kept in an evacuated chamber at temperature \(T_2>T_1\). The rate of increase of temperature of the body is proportional to:
1. \(T_2-T_1\)
2. \(T^2_2 -T^2_1 \)
3. \(T^3_2 -T^3_1\) 
4. \(T^4_2 -T^4_1\)

Subtopic:  Stefan-Boltzmann Law |
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A black body at \(227^{\circ}~\mathrm{C}\) radiates heat at the rate of \(7~ \mathrm{cal-cm^{-2}s^{-1}}\).  At a temperature of \(727^{\circ}~\mathrm{C}\), the rate of heat radiated in the same units will be:
1. \(60\)
2. \(50\)
3. \(112\)
4. \(80\)

Subtopic:  Stefan-Boltzmann Law |
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