Identify the correct expression for the temperature of an object placed in an…

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

Identify the correct expression for the temperature

T(t)

of an object placed in an environment of constant temperature

T_s

if its initial temperature is

T_0

and the proportionality constant is

k

. (a)

T(t)=T_0e^{-kt}+T_s

(b)

T(t)=T_s+(T_0-T_s)e^{-kt}

(c)

T(t)=T_s-(T_0-T_s)e^{-kt}

(d)

T(t)=T_s+(T_0-T_s)e^{kt}