Consider two solid spheres of radii R1=1m,R2=2m and masses M1 and M2, respectively. The gravitational field due to sphere (1) and (2) are shown. The value of M2M1 is:
A
61
B
31
C
32
D
21
Medium
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Solution
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Correct option is A)
Let E1,E2 be the gravitational field intensities on the surface of the two spheres.
E1=R12GM1 and E2=R22GM2
In a solid sphere, the gravitational field varies linearly from the center to the surface and is proportional to R−2 outside the sphere.
From the figure, we have E1=2 at the surface of the first spher and E2=3 at the surface of the second sphere.