JEE Main 202229 JulyMorning Shift
- Exam
- JEE Main
- Year
- 2022
- Date
- 29 July
- Shift
- Morning Shift
- Subject
- Physics
- Chapter
- Gravitation
JEE Main 2022 · 29 July · Morning Shift · Physics · Gravitation
If the acceleration due to gravity experienced by a point mass at a...
If the acceleration due to gravity experienced by a point mass at a height above the surface of earth is same as that of the acceleration due to gravity at a depth ) from the earth surface. The value of will be _____ .
(use )
Correct answer
0
Step-by-step solution
Acceleration due to gravity at a height above the earth's surface is given by \left(1 - \dfrac{2h}{{R}_{e}}\right)dg\left(1 - \dfrac{d}{{R}_{e}}\right){g}_{above} = {g}_{below}g\left(1 - \dfrac{2h}{{R}_{e}}\right) = g\left(1 - \dfrac{d}{{R}_{e}}\right)⇒ \dfrac{2h}{{R}_{e}} = \dfrac{d}{{R}_{e}}⇒ \alphah = d\alpha = 2.