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QJEEM21Phc015: JEE Main 2021 Physics - Class 11 JEEM21Phc015 Solution: The masses and radii of the earth and moon are (M 1 , R 1 ) and …

The masses and radii of the earth and moon are (M₁, R₁) and (M₂, R₂) respectively. Their centres are at a distance 'r' apart. Find the minimum escape velocity for a particle of mass 'm' to be projected from the middle of these two masses :

Multiple Choice Options

A V=124G(M1+M2)r
B V=4G(M1+M2)r
C V=122G(M1+M2)r
D V=2G(M1+M2)r

Step-by-Step Verified Solution

JEE Main 2021 (Online) 31st August Morning Shift Physics - Gravitation Question 100 English Explanation

\frac{1}{2} m V^{2} - \frac{G M_{1} m}{r / 2} - \frac{G M_{2} m}{r / 2} = 0

\frac{1}{2} m V^{2} = \frac{2 G m}{r} (M_{1} + M_{2})

V = \sqrt{\frac{4 G (M_{1} + M_{2})}{r}}

Option (b)

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