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(C) Let the thermal resistance of each rod be $R$. The square consists of four rods $AC, CB, BD, DA$. The points $A$ and $B$ are maintained at tempera

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(C) Let the thermal resistance of each rod be $R$. The square consists of four rods $AC, CB, BD, DA$. The points $A$ and $B$ are maintained at temperatures $T_A = \sqrt{2}T$ and $T_B = T$. Due to the symmetry of the circuit,the heat current $H$ flowing from $A$ splits equally into two paths: $AC-CB$ and $AD-DB$. Let $T_C$ and $T_D$ be the temperatures at points $C$ and $D$ respectively. For path $AC-CB$: The heat current is $H_1 = \frac{T_A - T_C}{R} = \frac{T_C - T_B}{R}$. This implies $T_A - T_C = T_C - T_B$,so $T_C = \frac{T_A + T_B}{2}$. For path $AD-DB$: The heat current is $H_2 = \frac{T_A - T_D}{R} = \frac{T_D - T_B}{R}$. This implies $T_A - T_D = T_D - T_B$,so $T_D = \frac{T_A + T_B}{2}$. Since $T_C = T_D$,the temperature difference between $C$ and $D$ is $T_C - T_D = 0$.

Column-$I$	Column-$II$
$(a)$ Cup of hot tea in room	$(i)$ Forced convection
$(b)$ Substance kept near fire	$(ii)$ Natural convection
	$(iii)$ Conduction
	$(iv)$ Radiation

Similar Questions

In Column-$I$,system surroundings and in Column-$II$ modes of heat transfer are given below. Match the following:

Column-$I$ Column-$II$

$(a)$ Cup of hot tea in room $(i)$ Forced convection

$(b)$ Substance kept near fire $(ii)$ Natural convection

$(iii)$ Conduction

$(iv)$ Radiation

The ends of a metal bar of constant cross-sectional area are maintained at temperatures $T_1$ and $T_2$ which are both higher than the temperature of the surroundings. If the bar is unlagged,which one of the following sketches best represents the variation of temperature with distance along the bar?

$A$ heated body emits radiation which has maximum intensity at frequency $f_m$. If the temperature of the body is doubled,then:

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