Question

Three bodies A, B and C of masses m, m and $\sqrt{3}$m respectively are supplied heat at a constant rate. The change in temperature q 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 relation is correct? (Initial temperature of body is 0⁰C) –

• A. S_A> S_B> S_C
• B. S_B = S_C< S_A
• C. S_A = S_B = S_C
• D. S_B = S_C> S_A

Answer 1

Answer: (D)

S_B = S_C> S_A

Answer 2

If R is rate of heating

DQ = ms(q)

Rt = ms(q) Ž q = $\left( \frac{R}{ms} \right)$t

Slope of q-t curve = $\frac{R}{ms}$ = tanf

\ s = $\frac{R}{m \times slopeof\theta - tcurve}$Ž S_A = $\frac{R}{m\sqrt{3}}$, S_B = $\frac{R}{m}$,

S_C = $\frac{R}{\sqrt{3}m.\frac{1}{\sqrt{3}}}$= $\frac{R}{m}$

\ S_B = S_C > S_A