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
`(h)/(R)=(u^(2))/(v_(e)^(2)-u^(2))=((1)/(4)v_(e)^(2))/(v_(e)^(2)-(1)/(4)v_(e)^(2))=((1)/(4)v_(e)^(2))/((3)/(4)v_(e)^(2))=(1)/(3)`
`h=(R)/(3)`


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