Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

If the change in the value of ‘g’ at a height h above the surface of the earth is the same as at a depth x below it, then (both x and h being much smaller than the radius of the earth):

Options:

x = h

x = 2 h

x = 1/2 h

x = h2

Correct Answer:

x = 2 h

Explanation:

$g\left(1-\frac{x}{R}\right)=g\left(1-\frac{2 h}{R}\right)$

$\Rightarrow \frac{x}{R}=\frac{2 h}{R} \Rightarrow \frac{x}{h}=2$