1.

A body is projected vertically upwards from the surface of the earth with a velocity equal to half of escape velocity of the earth. If `R` is radius of the earth, maximum height attained by the body from the surface of the earth isA. `(R )/(6)`B. `(R )/(3)`C. `(2R)/(3)`D. R

Answer» Correct Answer - B
`1/2m(v_(e))/(2)^(2)=(mgh)/(R ) rarr 1/2m (2gR)/(4)=(mgR)/(R )`
`rarr 1/4=(1)/(1+(R )/(h)rarr 1+(R )/(h)=4 rarr(R )/(h)=3`
`therefore h=(R )/(3)`


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