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Two uniform solid spheres of equal radii...

Two uniform solid spheres of equal radii R, but mass M and 4 M have a centre to centre separation 6 R, as shown in figure. The two spheres are held fixed. A projectile of mass m is projected from the surface of the sphere of mass M directly towards the centre of the second sphere. Obtain an expression for the minimum speed v of the projectile so that it reaches the surface of the second sphere.

A

`v = ((5GM)/(3R))^(1//2)`

B

`v = ((3GM)/(5R))^(1//2)`

C

`v = ((3R)/(5GM))^(1//2)`

D

`v = ((8R)/(5GM))^(1//2)`

Text Solution

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The correct Answer is:
B
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