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There are two bodies of mass 100 kg, 100...

There are two bodies of mass 100 kg, 10000 kg separated by a distance of 1m. At what distance from the smaller body the intensity of gravitational field is zero:

A

`(1)/(9)m`

B

`(1)/(10)m`

C

`(1)/(11)m`

D

none of the above.

Text Solution

Verified by Experts

The correct Answer is:
C
At point C, `E_(1)=E_(2)`

`rArr (GM_(1))/(x^(2))=(GM_(2))/((1-x)^(2)) rArr (100)/(x^(2))=(10,000)/((1-x)^(2))`
`rArr (1-x)/(x)=10 rArr 11x=1`
or `x=(1)/(11)m`
Hence correct choice is (c ).
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