QJEEM22Phc020: JEE Main 2022 Physics - Class 11 JEEM22Phc020 Solution: The percentage decrease in the weight of a rocket, when taken…

Question

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The percentage decrease in the weight of a rocket, when taken to a height of $32 km$ above the surface of earth will, be :

$($ Radius of earth $= 6400 km)$

Accepted Answer

$∵$ $g = \frac{G M}{r^{2}}$

$\Rightarrow \frac{Δ g}{g} = 2 \frac{Δ r}{r}$

$\Rightarrow \frac{Δ g}{g} \times 100 = 2 \times \frac{32}{6400} \times 100 % = 1 %$

$\Rightarrow$ % decrease in weight = 1%

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