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) (a) 1% (b) 3% (c) 4% (d) 0.5%

Answer: (a). For h R: gh ≈ g(1 - 2h/R), so the fractional decrease is 2h/R. 2h/R = (2 × 32)/(6400) = 0.01 Percentage decrease = 1% So the answer is (a) 1%.

The percentage decrease in the weight of a rocket, when taken to a… | JEE Main 2022 (26 Jul, Shift 1)

Q75JEE Main 2022 · 26 JUL · SHIFT 1Easy

Acceleration Due to Gravity

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

$($ Radius of earth $= 6400\text{ km})$

Show answer and solution

Answer: (a)

For $h \ll R$ : $g_h \approx g\left(1 - \frac{2h}{R}\right)$ , so the fractional decrease is $\frac{2h}{R}$ .
$\frac{2h}{R} = \frac{2 \times 32}{6400} = 0.01$
Percentage decrease $= 1\%$
So the answer is (a) 1%.

Report a mistake

More questions on Acceleration Due to Gravity

The height of any point P above the surface of earth is equal to diameter of earth. The…JEE Main 2022 (25 Jun, Shift 1)
A body weighs 500 N on the surface of the earth. At what distance below the surface of…MHT CET 2022 (11 Aug, Shift 2)
The variation of acceleration due to gravity (g) with distance (r) from the center of the…JEE Main 2022 (26 Jun, Shift 1)
The length of a seconds pendulum at a height h = 2R from earth surface will be: (Given R…JEE Main 2022 (25 Jul, Shift 2)
An object is taken to a height above the surface of earth at a distance 5/4 R from the…JEE Main 2022 (25 Jul, Shift 2)
The approximate height from the surface of earth at which the weight of the body becomes…JEE Main 2022 (24 Jun, Shift 1)
If the acceleration due to gravity experienced by a point mass at a height h above the…JEE Main 2022 (29 Jul, Shift 1)
Given below are two statements: One is labelled as Assertion A and the other is labelled…JEE Main 2022 (26 Jun, Shift 2)

Acceleration Due to Gravity question from JEE Main 2022 (26 Jul, Shift 1)

More questions on Acceleration Due to Gravity