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Three bodies A, B and C of masses $\frac{m}{\sqrt{3}}, m$ and $\sqrt{3} m$ respectively are supplied heat at a constant rate. The change in temperature $θ$ versus time t graph for A, B and C are shown by I, II and III respectively. If their specific heat capacities are $S_{A}, S_{B}$ and $S_{C}$ respectively, then which of the following relations is correct? (Initial temperature of the body is $0^{0} C$ )

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$S_{A} > S_{B} > S_{C}$

$S_{A} = S_{B} = S_{C}$

$S_{B} = S_{C} < S_{A}$

$S_{B} = S_{C} > S_{A}$

answer is C.

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Detailed Solution

$P = \frac{Q}{t} = \frac{m s Δ t}{t}; m \times s l o p e \propto \frac{1}{s}$

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