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
Verified Correct Answer: C.
Physical Principles & Numerical Solution
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
Source: Myschool Past Questions Archive (Record #46397)