A circular metallic ring of radius $R$ has a small gap of width $d$. The coefficient of thermal expansion of the metal is $\alpha$ in appropriate units. If we increase the temperature of the ring by an amount $\Delta T$, then width of the gap
A circular metallic ring of radius $R$ has a small gap of width $d$. The coefficient of thermal expansion of the metal is $\alpha$ in appropriate units. If we increase the temperature of the ring by an amount $\Delta T$, then width of the gap
- [KVPY 2012]
- A
will increase by an amount $d \alpha \Delta T$
- B
will not change
- C
will increase by an amount $(2 \pi R-d) \alpha \Delta T$
- D
will decrease by an amount $d \alpha \Delta T$
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