ICSE Class 10 Physics 2020 Solved Paper

Question : 22 of 67

Marks: +1, -0

Two metallic blocks

P

and

Q

having masses in ratio

2: 1

are supplied with same amount of heat. If their temperature rise by same degree, compare their specific heat capacities.

Solution:

Given :

\;{\;\text " Mass of block "\; {\P} (m_p) }/{\;\text " Mass of block "\; {\Q} (m_Q) }\;=\;{2}/{1}

and

∆ {\T}_p\;=∆ {\T}_Q

\;{C_p}/{C_Q}\;=?

Heat supplied to block

P=

Heat supplied to block

Q

∴ \;\; m_p ⋅ C_p ⋅ ∆ {\T}_p\;=m_Q ⋅ C_Q ∆ {\T}_Q \;\;

( ∵ {\Q}=m c ∆ {\T})

⇒ \;\; \;{C_p}/{C_Q}\;=\;{m_Q}/{m_p} × \;{∆ T_Q}/{∆ T_p} \;\;

( ∵ ∆ {\T}_Q=∆ {\T}_P)

\;=\;{1}/{2} × \;{1}/{1}=1: 2 . \;\; \;\text " Ans. "\;

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