Two spherical black bodies made of same material and with the same surface finish have masses ${M_1}and{\rm{ }}{M_2}$ and are at temperatures ${T_1} and {\rm{ }}{T_2}$ . If they are radiating the same power, ${M_1}/{M_2}$ must be

${\left( {{T_1}/{T_2}} \right)^6}$

${\left( {{T_1}/{T_2}} \right)^4}$

${\left( {{T_2}/{T_1}} \right)^4}$

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NEET UG PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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Two spherical black bodies made of same material and with the same surface finish have masses

{M_1}and\mathrm{ }{M_2}

and are at temperatures

{T_1} and \mathrm{ }{T_2}

. If they are radiating the same power,

{M_1}/{M_2}

must be

View answer and explanation

Correct option: C

{\left( {{T_2}/{T_1}} \right)^6}

Option C (

{\left( {{T_2}/{T_1}} \right)^6}

) is correct because it represents the ratio of masses derived from the Stefan-Boltzmann law and the relationship between mass and volume for similar materials.

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is placed in an insulation box of wall thickness

1 \mathrm{~cm}

. The box keeping the ice cube at

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. The rate of melting of ice is approximately.

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3.4 \times 10^5 \mathrm{~J} \mathrm{~kg}^{-1}

and thermal conducting of insulation wall is

\left. {0.05{\text{W}}{{\text{m}}^{ - 1}}^\circ {{\text{C}}^{ - 1}}} \right)

A black body radiates heat energy at the rate of

2 \times 10^5 \mathrm{~J} / \mathrm{sm}^2

at temp. of

127^{\circ} \mathrm{C}

. The temp of black body at which rate becomes

32 \times 10^5 \mathrm{~J} / \mathrm{s}-\mathrm{m}^2

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\sigma

+ \frac{1}{2}

for a material, then the material is