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Two point masses A and B having masses i...

Two point masses A and B having masses in the ratio `4:3` are separated by a distance of 1m. When another point mass C of mass M is placed in between A and B, the force between A and C is `(1/3)^(rd)` of the force between B and C. Then the distance C from A is

A

`2/3m`

B

`1/3m`

C

`1/4m`

D

`1/5m`

Text Solution

Verified by Experts

The correct Answer is:
A
`m_A=4m,m_B=3m,d=1m`
`m_c=M,F_(AC)=1/3`

`rArr(Gxx4mxxm)/(x^2)=(G3mxxm)/(3(1-x)^2)`
`rArr(1-x)/x=1/2`
`rArr1=(3x)/2rArrx=2/3m`
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