The mass of P is half that of Q. The ratio of the specific heat capacity pf P to Q is?

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:

Option C = 1:1

Explanation

H = mcθ

Hp = HQ, θp = 2θ,

mP = ½ mQ

∴ Hp = mQCpθp, also HQ = mQCQθQ

Since Hp = HQ

∴ mpcpθp = mQcpθq

Putting in the conditions

½mQ × cp × 2θQ = mQ × θQ × cQ

∴ cp = cQ

Cp/CQ= 1/1

= 1:1