Match the devices in Column I with the processes in Column II: | Column I | Column II | | --- | --- | | (A) Bimetallic strip | (P) Radiation from a hot body | | (B) Steam engine | (Q) Energy conversion | | (C) Incandescent lamp | (R) Melting | | (D) Electric fuse | (S) Thermal expansion |

$$[\mathrm{A} \rightarrow(\mathrm{S}); \mathrm{B} \rightarrow(\mathrm{Q}); \mathrm{C} \rightarrow(\mathrm{P}); \mathrm{D} \rightarrow(\mathbf{R})]$$

A current carrying wire heats a metal rod. The wire provides a constant power (P) to the rod. The metal rod is enclosed in an insulated container. It is observed that the temperature (T) in the metal rod changes with time (t) as $$T(t) = {T_0}\left( {1 + \beta {t^{{1 \over 4}}}} \right)$$, where $$\beta $$ is a constant with appropriate dimension while T 0 is a constant with dimension of temperature. The heat capacity of the metal is

$${{4P{{(T(t) - {T_0})}^3}} \over {{\beta ^4}T_0^4}}$$

A human body has a surface area of approximately $$1\,m{}^2.$$ The normal body temperature is $$10$$ $$K$$ above the surrounding room temperature $${T_0}.$$ Take the room temperature to be $${T_0} = 300K.$$ For $${T_0} = 300\,K,$$ the value of $$\sigma T_0^4 = 460\,W{m^{ - 2}}$$ (where $$\sigma $$ is the Stefan-Boltzmann constant). Which of the following options is / are correct?

Reducing the exposed surface area of the body (e.g. by curling up) allows human to maintain the same body temperature while reducing the energy lost by radiation

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JEE Advanced Newtons Law Of Cooling Questions with Answers and Solutions

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Match the devices in Column I with the processes in Column II:

Column I	Column II
(A) Bimetallic strip	(P) Radiation from a hot body
(B) Steam engine	(Q) Energy conversion
(C) Incandescent lamp	(R) Melting
(D) Electric fuse	(S) Thermal expansion

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