Question

Which of the following statements is/are correct?
(i) The specific heat capacity at constant temperature is infinite.
(ii) When no heat is added and the temperature is variable, specific heat capacity is equal to zero.

• A. only (i) is correct
• B. only (ii) is correct
• C. both (i) and (ii) are correct
• D. none of the statements is correct

Answer 1

The correct option is C both (i) and (ii) are correct

Let ${}^{\prime }{S}^{\prime }$ be the specific heat capacity of the substance.
$\because Q=mS\Delta T.....\left(1\right)$
We can write that,
$S=\frac{Q}{m\Delta T}$
If temperature is constant, $\Delta T=0$
Thus, $S=\frac{Q}{0}\to \infty$
$\therefore$ Statement (i) is correct
Again
If $Q=0$ & $\Delta T\ne 0$, from $\left(1\right)$, we can deduce that $S=0$
$\therefore$ Statement (ii) is also correct.
Thus, option (c) is the correct answer.