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Two spherical bodies of masses M and 5M ...

Two spherical bodies of masses M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12 R. if they attract each other due to gravitational force only, then the distance convered by the smaller body before collision is

A

`2.5R`

B

`4.5R`

C

`7.5R`

D

`1.5R`

Text Solution

Verified by Experts

The correct Answer is:
C
If `x_(1)` and `x_(2)` are the distance covered by the two bodies, then `x_(1)+x_(2)=9R`.
Also `Mx_(1)=5mx_(2)impliesx_(2)=(x_(1))/5`
`x_(1)+(x_(1))/5=9Rimpliesx_(1)=7.5R`
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