Question:
Height at which the value of $g$ becomes $1/4th$ to that on earth is
Height at which the value of $g$ becomes $1/4th$ to that on earth is
Updated On: Jul 6, 2022
- R
- 4R
- 2R
- $\frac {3}{2}R$
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
$g' = \frac{r\, R^2}{(R + h)^2} $ i.e. $\frac{1}{4} = \frac{R^2}{R+h^2}$ i.e. $\frac{1}{2} = \frac{R}{R+h}$ i.e. (R + h) = 2 R i.e. h = R
Was this answer helpful?
0
0
Top Questions on Gravitation
- The value of \( g \) at height \( h \) above Earth's surface is \( \frac{g}{\sqrt{3}} \). Find \( h \) in terms of the radius of the Earth.
- MHT CET - 2025
- Physics
- Gravitation
- At a height \( h \) above the Earth's surface, the acceleration due to gravity becomes \( \frac{g}{\sqrt{3}} \). What is the value of \( h \) in terms of the Earth's radius \( R \)?
- MHT CET - 2025
- Physics
- Gravitation
- If \( r_1, v_1, L_1 \) and \( r_2, v_2, L_2 \) are radii, velocities, and angular momenta of a planet at perihelion and aphelion of its elliptical orbit around the Sun respectively, then
- KCET - 2025
- Physics
- Gravitation
- The gravitational potential energy of an object of mass 5 kg at a height of 10 m above the surface of the Earth is:
- MHT CET - 2025
- Physics
- Gravitation
- The gravitational potential energy of a 2 kg object at a height of 5 m above the surface of the Earth is?
- MHT CET - 2025
- Physics
- Gravitation
View More Questions
Concepts Used:
Gravitation
In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.
Newton’s Law of Gravitation
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
- F ∝ (M1M2) . . . . (1)
- (F ∝ 1/r2) . . . . (2)
On combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2
The dimension formula of G is [M-1L3T-2].