A body is projected vertically upwards from the surface of a planet of radius `R` with a velocity equal to hall the escape velocity for that planet. The maximum height attained by the body isA. `R//2`B. `R//3`C. `R//5`D. `R//4`

A body is projected vertically upwards from the surface of a planet of

1.	A body is projected vertically upwards from the surface of a planet of radius `R` with a velocity equal to hall the escape velocity for that planet. The maximum height attained by the body isA. `R//2`B. `R//3`C. `R//5`D. `R//4`
Answer» Correct Answer - B Using law of conservation of energy, we have `(1)/(2)m((upsilon_(e))/(2))^(2) - (GM m)/(R ) = - (GM m)/((R + h))` or `(1)/(2)m[(1)/(4)((2GM)/(R ))] - (GM m)/(R ) = (-GM)/((R + h))` On solving, we get, `h = (R )/(3)`

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A body is projected vertically upwards from the surface of a planet of radius `R` with a velocity equal to hall the escape velocity for that planet. The maximum height attained by the body isA. `R//2`B. `R//3`C. `R//5`D. `R//4`

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