An electric heater kept in a vacuum is heated continuously by passing an electric current. Its temperature:

  • A
    Will go on rising with time
  • B
    Will stop after sometime as it will lose heat to the surroundings by conduction
  • C
    Will rise for sometime and thereafter will start falling
  • D
    Will become constant after sometime because of loss of heat due to radiation

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$A$ solid cylinder of radius $r_1=2.5 \ cm$, length $l_1=5.0 \ cm$ and temperature $40^{\circ}C$ is suspended in an environment of temperature $60^{\circ}C$. The thermal radiation transfer rate for the cylinder is $1.0 \ W$. If the cylinder is stretched until its radius becomes $r_2=0.50 \ cm$, the thermal radiation transfer rate is changed to (in $W$)

$A$ black body radiates heat energy at the rate of $2 \times 10^5 \, J/s \cdot m^2$ at a temperature of $127 \, ^\circ C$. The temperature of the black body at which the rate becomes $32 \times 10^5 \, J/s \cdot m^2$ is ....... $^\circ C$.

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The amount of radiation emitted by a perfectly black body is proportional to

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