A satellite is moving around the earth with speed in a circular orbit of radius . If the orbit radius is decreased by, its speed will
Increase by
Step 1. Given data :
Speed
Radius
Orbit radius (decreased by)
Step 2. Find the speed of the satellite :
Where, is the velocity of a satellite in orbit of radius, is the gravitational constant, and is the mass of the Earth,
Apply log on both sides,
Differentiating on both sides,
Multiplying by on both sides,
(positive value of percentage here shows the increase in the orbital velocity)
Hence, (B) is the correct option.