A thin metal rod of length $L_{0}$ is shaped into a ring with a small gap x as shown. On heating the system

x decreases, r and d increase

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x and r increase, d decreases

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x, r and d all increase

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Data insufficient to arrive at a conclusion

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Solution

The correct option is C x, r and d all increase
Heating of the any material must be visualized as photographic expansion of the object, that is, we take a picture of the object and then zoom it. In such an expansion, distance between any two points in the material increases.

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