A rod of length $20\, cm$ is made of metal. It expands by $0.075cm$ when its temperature is raised from $0°C$ to $100°C.$ Another rod of a different metal $B$ having the same length expands by $0.045 \,cm$ for the same change in temperature. $A$ third rod of the same length is composed of two parts, one of metal $A$ and the other of metal $B$. This rod expands by $0.060\, cm$ for the same change in temperature. The portion made of metal $A$ has the length ........ $cm$
A rod of length $20\, cm$ is made of metal. It expands by $0.075cm$ when its temperature is raised from $0°C$ to $100°C.$ Another rod of a different metal $B$ having the same length expands by $0.045 \,cm$ for the same change in temperature. $A$ third rod of the same length is composed of two parts, one of metal $A$ and the other of metal $B$. This rod expands by $0.060\, cm$ for the same change in temperature. The portion made of metal $A$ has the length ........ $cm$
- A
$20$
- B
$10$
- C
$15$
- D
$18$
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