A body attains a height equal to the radius of the earth. The velocity of the body with which it was projected is

A body attains a height equal to the radius of the earth. The velocity

1.	A body attains a height equal to the radius of the earth. The velocity of the body with which it was projected is
Answer» `SQRT((GM)/(R))` `sqrt((2GM)/(R))` `sqrt((1)/(4)(GM)/(R))` `sqrt((GM)/(2R))` Solution :Applying conservation of mechanical energy we get, `(1)/(2)mv^(2)=(mgh)/(1+h//R)` Putting h = R, we get `v=sqrt(GR)=sqrt((GM)/(R))`