What is the the escape velocity to the orbital velocity ratio ?

\sqrt{2}

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\frac{1}{\sqrt{2}}

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2

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Solution

The correct option is D $\sqrt{2}$
Escape Velocity $= \sqrt{\frac{2 G M}{r}}$ , where $G$ is Gravitational constant, $M$ is the mass of the planet and $r$ is the radius of the orbit
Orbital Velocity $= \sqrt{\frac{G M}{r}}$
Hence, the ratio of Escape velocity and Orbital velocity is $\sqrt{2}$ .

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What is the the escape velocity to the orbital velocity ratio ?

The correct option is D √2Escape Velocity =√2GMr, where G is Gravitational constant, M is the mass of the planet and r is the radius of the orbit Orbital Velocity =√GMr Hence, the ratio of Escape velocity and Orbital velocity is √2.

The correct option is D $\sqrt{2}$
Escape Velocity $= \sqrt{\frac{2 G M}{r}}$ , where $G$ is Gravitational constant, $M$ is the mass of the planet and $r$ is the radius of the orbit
Orbital Velocity $= \sqrt{\frac{G M}{r}}$
Hence, the ratio of Escape velocity and Orbital velocity is $\sqrt{2}$ .