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Two bodies of masses 5 kg and 20 kg are ...

Two bodies of masses 5 kg and 20 kg are separated by a distance of 300 m. A body of mass 1 kg is placed between the two masses in a straight line. If the forces of attraction due to the two masses on the body of 1 kg mass are the same, the distance between the 1 kg body and the 5 kg body is ____________

A

100

B

200

C

300

D

400

Text Solution

Verified by Experts

The correct Answer is:
A
` F = (Gm_1m_2)/(r^(2))`
` (G xx 5 xx 1 )/(x^(2)) = (G xx 20 xx 1)/(r^(2))`
` r^(2) =x^(2) 4`
Total distance ` = r+ x =300 m `
` 2x +x = 300 m `
` 3x = 300 , x =100 m `
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