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Standard IX

Physics

Derivation of Position-Velocity Relation by Graphical Method

Two spherical...

Question

Two spherical massive bodies of uniform density each of mass $M$ and radius $R$ are kept at a distance $4 R$ apart. Then the minimum speed $(V_{m i n})$ required to project a particle from the surface of body $A$ such that it will never return on the surface of same body is

V_{m i n} = \sqrt{\frac{12 G M}{5 R}}

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V_{m i n} = \sqrt{\frac{2 G M}{3 R}}

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V_{m i n} = \sqrt{\frac{5 G M}{7 R}}

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V_{m i n} = \sqrt{\frac{2 G M}{R}}

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Solution

The correct option is B $V_{m i n} = \sqrt{\frac{2 G M}{3 R}}$

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Two spherical massive bodies of uniform density each of mass M and radius R are kept at a distance 4R apart. Then the minimum speed (Vmin) required to project a particle from the surface of body A such that it will never return on the surface of same body is

The correct option is B Vmin=√2GM3R

Two spherical massive bodies of uniform density each of mass $M$ and radius $R$ are kept at a distance $4 R$ apart. Then the minimum speed $(V_{m i n})$ required to project a particle from the surface of body $A$ such that it will never return on the surface of same body is

The correct option is B $V_{m i n} = \sqrt{\frac{2 G M}{3 R}}$