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Area and Volume Expansion

Two holes of ...

Question

Two holes of unequal diameters $d_{1}$ and $d_{2}$ ( $d_{1} > d_{2}$ ) are cut in a metal sheet. If the sheet is heated

both

d_{1}

and

d_{2}

will decrease

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both

d_{1}

and

d_{2}

will increase

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d_{1}

will increase,

d_{2}

will decrease

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d_{1}

will decrease,

d_{2}

will increase

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Solution

The correct option is B both $d_{1}$ and $d_{2}$ will increase
If the sheet is heated then both $d_{1}$ and $d_{2}$ will increase since the thermal expansion of isotropic solid is similar to true photographic enlargement.

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