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 mass of P is half that of Q. The ratio of the specific heat capacity pf P to Q is
A. 1:4 B. 4:1 C. 1:1 D. 2:1
Correct Answer: C
Explanation
H = mcθ HP = HQ, θP = 2θ, mP = \(\frac{1}{2}\)mQ ∴ HP = mQCPθP, also HQ = mQCQθQ Since HP = HQ ∴ mPcPθP = mQcPθq Putting in the conditions \(\frac{1}{2}\)mQ × cP × 2θQ = mQ × θQ × cQ ∴ cP = cQ \(\frac{C_p}{C_Q}\)= \(\frac{1}{1}\) = 1:1
