Gravitation Question 342

Question: In a certain region of space, gravitational field is given by[I=(K/r)] . Taking the reference point to be at [r=r0] with [V=V0,] find the potential.

Options:

A) [K,logrr0+V0]

B) [K,logr0r+V0]

C) [K,logrr0V0]

D) [logr0rV0r]

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Answer:

Correct Answer: A

Solution:

  • We know that intensity is negative gradient of potential, i.e.,

    [I=(dV/dr)] and as here [I=(K/r)] ,

    so [dVdr=Kr,i.e.,dV=Kidrr] or [VV0=Klogrr0] so [V=Klogrr0+V0]



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