The masses and radii of the earth and moon are M 1 , R 1 and M 2 , R 2 respectively…
Physics · JEE Main · NTA Exams — Gravitation
The masses and radii of the earth and moon are M1, R1 and M2, R2 respectively. Their centres are a distance d apart. The minimum speed with which a particle of mass m should be projected from a point midway between the two centres so as to escape to infinity is given by
- \(2\left[\frac{G\left(M_{1}+M_{2}\right)}{m d}\right]^{1 / 2}\)
- \(2\left[\frac{G\left(M_{1}+M_{2}\right)}{d}\right]^{1 / 2}\)
- \(2\left[\frac{G\left(M_{1}-M_{2}\right)}{m d}\right]^{4 / 2}\)
- \(2\left[\frac{G\left(M_{1}-M_{2}\right)}{d}\right]^{4 / 2}\)
Answer
(B) 2 [ G (M_ 1 +M_ 2 ) d ]^ 1 / 2
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