### NEET Solved Paper 2016 Question 36

##### Question: The ratio of escape velocity at earth $ (v _{e}) $ to the escape velocity at a planet $ (v _{p}) $ whose radius and mean density are twice as that of earth is :-

#### Options:

A) 1 : 2

B) $ 1:2\sqrt{2} $

C) 1 : 4

D) $ 1:\sqrt{2} $

## Show Answer

#### Answer:

Correct Answer: B

#### Solution:

- $ V _{e}=\sqrt{\frac{2GM}{R}}=\sqrt{\frac{2G}{R}.( \frac{4}{3}\pi R^{3}\rho )}\propto R\sqrt{\rho } $

$ \therefore $ $ Ratio\text{=}1:2\sqrt{2} $