Question:
The ratio of the escape velocity and the orbital velocity is
The ratio of the escape velocity and the orbital velocity is
Updated On: Jul 7, 2022
- $\sqrt2$
- $\frac{1}{\sqrt2}$
- 2
- 44563
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The Correct Option is A
Solution and Explanation
Escape Velocity $=\sqrt{\frac{2 GM }{ r }}$, where $G$ is Gravitational constant, $M$ is the mass of the planet and $r$ is the radius of the orbit
Orbital Velocity $=\sqrt{\frac{ GM }{ r }}$
Hence, the ratio of Escape velocity and Orbital velocity is $\sqrt{2}$.
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Notes on Escape Speed
Concepts Used:
Escape Speed
Escape speed is the minimum speed, which is required by the object to escape from the gravitational influence of a plannet. Escape speed for Earth’s surface is 11,186 m/sec.
The formula for escape speed is given below:
ve = (2GM / r)1/2
where ,
ve = Escape Velocity
G = Universal Gravitational Constant
M = Mass of the body to be escaped from
r = Distance from the centre of the mass