JEE MAIN - Physics (2019 - 10th April Morning Slot - No. 2)

The value of acceleration due to gravity at Earth's surface is 9.8 ms–2. The altitude above its surface at which the acceleration due to gravity decreases to 4.9 ms–2, is close to : (Radius of earth = 6.4 × 106 m)
1.6 × 106 m
9.0 × 106 m
6.4 × 106 m
2.6 × 106 m

Explanation

$${{GM} \over {{{\left( {R + h} \right)}^2}}} = {{GM} \over {2{R^2}}}$$

$$R + h = \sqrt 2 R$$

$$h = \left( {\sqrt 2 - 1} \right)R \simeq 2.6 \times {10^6}m$$

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