When two objects P and Q are supplied with the same quantity of heat, the temperature change in P is observed to be twice that of Q. The ratio of the specific heat capacity of P to Q is

A.

1 : 4

B.

4 : 1

C.

1 : 1

D.

2 : 1

Correct answer is C

\(\theta\)p = 2\(\theta\)q

mq = 2mp

Cp X mp X \(\theta\)p = Cq x mq x \(\theta\)q

\(\frac {C_pm_q\theta q}{C_qm_p \theta q}\) = \(\frac {\theta q \times 2mp}{2 \theta qmp}\)

\(\frac {C_p}{Cq}\) = \(\frac {2}{2}\)