Question

Escape velocity of a body when projected from the earth's surface is $11.2\text{km/sec}$. If it is projected at an angle of ${50}^{\circ }$ from the horizontal, the escape velocity will be -

• A. $11.6\text{km/sec}$
• B. $12.8\text{km/sec}$
• C. $11.2\text{km/sec}$
• D. $16.2\text{km/sec}$

Answer 1

The correct option is C $11.2\text{km/sec}$

Escape velocity, $v_e=\sqrt{\frac{2GM}{R}}$
The escape velocity of a body projected from the earth's surface is independent of the angle of projection. Hence, the escape velocity of the body projected at an angle ${50}^{\circ }$ will also be $11.2\text{km/sec}$