Question

Consider two solid spheres of radii and masses and , respectively. The gravitational field due to sphere (1) and (2) are shown. The value of is:

1697209
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A

B

C

D

Medium
Solution
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Correct option is A)

Let be the gravitational field intensities on the surface of the two spheres.  

and

In a solid sphere, the gravitational field varies linearly from the center to the surface and is proportional to outside the sphere.

From the figure, we have at the surface of the first spher and at the surface of the second sphere.

        ...(i)

        ...(ii)

Dividing (i) by (ii),

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