Teaching HTET PGT Level 3 - 2024 Mock Test Physics Gravitation Acceleration due to gravity below and above the surface of earth
The force on mass 'm' due to gravity is \(\overrightarrow {{F_1}} \) at a height \(h = \frac{{{{\mathop{\rm R}\nolimits} _e}}}{3}\) from the Earth's surface. At what depth 'd' inside Earth, the body will experience a force \({\overline F _2}\) such that \(|{\overrightarrow F _1}| = |{\overrightarrow F _2}| = \overrightarrow F \)
1
\(\frac{2}{3}{{\mathop{\rm R}\nolimits} _e}\)
2
\(\frac{7}{9}{{\mathop{\rm R}\nolimits} _e}\)
3
\(\frac{7}{16}{{\mathop{\rm R}\nolimits} _e}\)
4
\(\frac{5}{16}{{\mathop{\rm R}\nolimits} _e}\)