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JEE Main 2022 (25 Jul, Shift 2) · Acceleration Due to Gravity

Acceleration Due to Gravity question from JEE Main 2022 (25 Jul, Shift 2)

Q80JEE Main 2022 · 25 JUL · SHIFT 2Medium

Acceleration Due to Gravity

An object is taken to a height above the surface of earth at a distance $\frac{5}{4}$ R from the centre of the earth. Where radius of earth, R = 6400 km. The percentage decrease in the weight of the object will be:

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Answer: (a)

$g \propto \frac{1}{r^2}$ , with $r = \frac{5}{4}R$
$g' = g\left(\frac{4}{5}\right)^2 = \frac{16}{25}g = 0.64g$
Decrease in weight $= (1-0.64)\times 100\% = 36\%$
So the answer is (a) 36%.

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