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Thrust & Pressure

Two pins are ...

Question

Two pins are pressed with the same amount of force in a wooden block, one having diameter $d_{1}$ and the other having diameter $d_{2}$ . Then, which pin will penetrate deeper into the wooden block? $(d_{1} > d_{2})$

d_{1}

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d_{2}

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Both penetrate to same depth

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None of these

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Solution

The correct option is B $d_{2}$
Pins and nails have pointed ends: Pins and nails have a very small area at the tips due to their pointed ends. A small force on the head of the pin or nail will fall on a small area of a surface (like cardboard or notice board), thereby exerting necessary pressure to drive it into the surface easily.

We know Pressure= Force/Area. Smaller diameter pins goes in easily.

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