In some region of space, gravitational field is given by −Cr , r being the distance and C a constant. At a certain value of r $$=$$ $$r0$$, gravitational potential is V'. General expression of gravitational potential as a function of r is :

Correct option is 4Clog⁡rr0+V′

Questions

In some region of space, gravitational field is given by $\frac{- C}{r}$ , r being the distance and C a constant. At a certain value of r = r₀, gravitational potential is V'. General expression of gravitational potential as a function of r is :

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Clog⁡r0r

Clog⁡r0r+V′

Clog⁡rr0

Clog⁡rr0+V′

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detailed solution

Correct option is D

Ig=−Cr⇒−dVdr=−Cr⇒∫V′V dV=C∫r0r 1rdr⇒V−V′=Clog⁡rr0

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In some region of space, gravitational field is given by −Cr , r being the distance and C a constant. At a certain value of r = r0, gravitational potential is V'. General expression of gravitational potential as a function of r is :

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Ready to Test Your Skills?

free study material

In some region of space, gravitational field is given by $\frac{- C}{r}$ , r being the distance and C a constant. At a certain value of r = r₀, gravitational potential is V'. General expression of gravitational potential as a function of r is :