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  4. A thin wire of mass m and length l is bent to form a semicircle. The gravitational potential at the centre of the semicircle is

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Q. A thin wire of mass $m$ and length $l$ is bent to form a semicircle. The gravitational potential at the centre of the semicircle is

Gravitation

Solution:

At the centre,
$V=-\frac{G m}{r}$ but $\pi r=l$
$\Rightarrow V=-\frac{\pi G m}{l}$
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