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

Correct answer is C

θA = 2θ\(_{B}\),

m\(_A\) = 1
2
m\(_B\)


H = MCθ
m\(_A\)c\(_A\)θ\(_A\) = m\(_B\)c\(_B\)θ\(_B\)
( 1/2 m\(_B\))C\(_A\) (2θ\(_B\)) = m\(_B\)c\(_B\)θ\(_B\)

 

C\(_A\)
C\(_B\)
= 1
1
 


⇒ 1 : 1