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In a certain region of space, the gravitational field is given by -k / r , where r is the distance and k is a constant. If the gravitational potential at r = r₀ be V₀ , then what is the expression for the gravitational potential V?

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k log (r/r₀)

k log (r₀/r)

V₀ + k log (r/r₀)

V₀ + k log (r₀/r)

answer is C.

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Detailed Solution

Here, $I = - \frac{d V}{d r} = - k / r (or) d V = k \frac{d r}{r}$ then integrate

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