The ratio of the escape velocity and the orbital velocity is

Question

The ratio of the escape velocity and the orbital velocity is (A) √2 (B) (1/√2) (C) 2 (D) 1/2

Tardigrade Admin · Accepted Answer

Escape Velocity =√(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 =√( GM / r ) Hence, the ratio of Escape velocity and Orbital velocity is √2.

Q. The ratio of the escape velocity and the orbital velocity is

$2$

$\frac{1}{2}$

2

1/2

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

Q. The ratio of the escape velocity and the orbital velocity is

2​

2​1​

2

1/2

Escape Velocity =r2GM​​, where G is Gravitational constant, M is the mass of the planet and r is the radius of the orbit Orbital Velocity =rGM​​ Hence, the ratio of Escape velocity and Orbital velocity is 2​.

$2$

$\frac{1}{2}$

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