NDA2024General AbilityGeneral ScienceActual
Escape speed from the Earth is close to 11.2 ~km ~s ⁻¹ . On another planet whose radius is half of the Earth's radius and whose mass density is four times that of the Earth, the escape speed in km s ⁻¹ will be close to:
Options
- A11.2
- B15.8
- C5.6
- D7.9
Correct answer
A. 11.2
Step-by-step solution
Escape velocity is given by, array rlrl & v & = 2 g R & v & = 2 GM R ^2 R = 2 GM R & Also, & v & = 2 G 4 3 R ^2 =11.2 & & v^ & = 2 G 4 4 3 R ^2 4 =11.2 array Hence, escape velocity remains same.