When two objects A and B are supplied with the same quantity of heat, the temperature change in A is obtained to be twice that of B. The mass of A is half that of B. The ratio of the specific heat capacity of A to B is
A
1 : 4
B
4 : 1
C
1 : 1
D
2 : 1
Verified Correct Answer: C.
Physical Principles & Numerical Solution
\thetaA = 2\thet\(a_B\),
m\(_A\)
=
1
2
m\(_B\)
H = MC\theta
m\(_A\)c\(_A\)\theta\(_A\) = m\(_B\)c\(_B\)\theta\(_B\)
( 1/2 m\(_B\))C\(_A\) (2\theta\(_B\)) = m\(_B\)c\(_B\)\theta\(_B\)
C\(_A\)
C\(_B\)
=
1
1
⇒ 1 : 1
Source: Myschool Past Questions Archive (Record #55662)