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 P is half that of Q. The ratio of the specific heat capacity of A to B is
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Correct Answer: Option C
Explanation:
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\(_B\)
Â
C\(_A\)
C\(_B\)
=
1
1
Â
⇒ 1 : 1
Â
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\(_B\)
Â
C\(_A\)
C\(_B\)
=
1
1
Â
⇒ 1 : 1
Â