On the x -axis and at a distance x from the origin, the gravitational field due to a mass distribution is…

On the x-axis and at a distance x from the origin, the gravitational field due to a mass distribution is given by Axx2+a23/2 in the x-direction. The magnitude of the gravitational potential on the x-axis at a distance x, taking its value to be zero at infinity is:
  1. Ax2+a21/2
  2. Ax2+a23/2
  3. Ax2+a21/2
  4. Ax2+a23/2

Solution

Vx=xAxA2+x23/2dx

Vx=-AA2+x2

Asked in: JEE Main 2020 (04 Sep Shift 1)

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