Question

A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by 1% its speed will 

(A) increase by 1% 

(B) increase by 0.5% 

(C) decreased by 1% 

(D) Decreased by 0.5%

Answer 1

Correct option: (B) increase by 0.5%

Explanation:

V ∝ (1 / √r)

% increase in the speed = (1/2)% decrease in the radius

= (1/2)(1)%

= 0.5 %