QJEEM22Phb7ae: JEE Main 2022 Physics - Class 11 JEEM22Phb7ae Solution: A body is projected vertically upwards from the surface of…

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QJEEM22Phb7ae: JEE Main 2022 Physics - Class 11 JEEM22Phb7ae Solution: A body is projected vertically upwards from the surface of…

A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be :

(Take radius of earth $= 6400 km$ and $g = 10 {ms}^{- 2}$ )

Multiple Choice Options

A 800 km
B 1600 km
C 2133 km
D 4800 km

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Accepted Answer

Applying conservation of energy

$- \frac{G M_{e} m}{R_{e}} + \frac{1}{2} m {(\frac{1}{3} \sqrt{\frac{2 G m_{e}}{R_{e}}})}^{2} = - \frac{G M_{e} m}{R_{e} + h}$

$- \frac{G M_{e} m}{R_{e}} + \frac{G M_{e} m}{9 R_{e}} = - \frac{G M_{e} m}{R_{e} + h}$

$\frac{8}{9 R_{e}} = \frac{1}{R_{e} + h}$

$\Rightarrow h = \frac{R_{e}}{8} = \frac{6400}{8} = 800$ km

QJEEM22Phb7ae: JEE Main 2022 Physics - Class 11 JEEM22Phb7ae Solution: A body is projected vertically upwards from the surface of…

Multiple Choice Options

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