Q133 / 160 · AP EAMCET 2022 (04 Jul Shift 2) · Physics

A uniform solid sphere of radius R produces a gravitational acceleration of ao on its surface. The distance of the point from the centre of the sphere where the gravitational acceleration becomes ao4 is,

  • A
    4R
  • B
    32R
  • Correct answer
    C
    2R
  • D
    3R

Solution

On the surface of the uniform solid sphere, gravitational field(also called gravitational acceleration) is given by,

-GMR2=a0.

Gravitational field at any height h is given by,

a=a01+hR-2⇒a04=a01+hR-2⇒1+hR2=4⇒h=R

Hence, distance from the centre will be,

=R+R=2R

Hence, the correct answer is option: 'C'.

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