Question:
Two identical satellites $A$ and $B$ revolve around the earth in circular orbits at distance $R$ and $3R$ from the surface of the earth. The ratio of the linear momenta of $A$ and $B$ is ($R$ = radius of the earth)
Two identical satellites $A$ and $B$ revolve around the earth in circular orbits at distance $R$ and $3R$ from the surface of the earth. The ratio of the linear momenta of $A$ and $B$ is ($R$ = radius of the earth)
Updated On: Aug 15, 2022
- $1 : 1$
- $1 : \sqrt{2}$
- $ \sqrt{2} : 1$
- $2 : 1 $
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Linear momentum of satellite,
$p = m \upsilon_0 = m \sqrt{GM/ r} \:\:\: i.e, \, p \propto 1 /\sqrt{r} ;$
$ \therefore \, \frac{p_A}{p_B} = \sqrt{\frac{r_B}{r_A}} = \sqrt{\frac{ R+3R}{R+R}} = \sqrt{2}$
Was this answer helpful?
0
0
Top Questions on Gravitation
- An object of mass 100 kg falls from point A to B as shown in figure. The change in its weight, corrected to the nearest integer is ($R_E$ is the radius of the earth):
- NEET (UG) - 2024
- Physics
- Gravitation
- The escape velocity for earth is v. A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:
- NEET (UG) - 2024
- Physics
- Gravitation
- A metal wire of uniform mass density having length L and mass M is bent to form a semicircular arc and a particle of mass m is placed at the centre of the arc. The gravitational force on the particle by the wire is:
- JEE Main - 2024
- Physics
- Gravitation
- A light planet is revolving around a massive star in a circular orbit of radius $R$ with a period of revolution $T$. If the force of attraction between the planet and the star is proportional to $R^{-\frac{3}{2}}$, then choose the correct option:
- JEE Main - 2024
- Physics
- Gravitation
- Assuming the earth to be a sphere of uniform mass density, a body weighed 300 N on the surface of earth. How much it would weigh at R/4 depth under surface of earth ?
- JEE Main - 2024
- Physics
- Gravitation
View More Questions
Questions Asked in JIPMER exam
- Binomial nomenclature was first introduced by
- JIPMER - 2015
- KCET - 2022
- Diversity In The Living World
- A convex lens $'A'$ of focal length $20\, cm$ and a concave lens $'B'$ of focal length $5\, cm$ are kept along the same axis with a distance $'d'$ between them. If a parallel beam of light falling on $'A'$ leaves $'B'$ as a parallel beam, then the distance $'d'$ in cm will be :
- JIPMER - 2021
- Spherical Mirrors
- A bacterial flagellum is composed of
- JIPMER - 2021
- Prokaryotic Cells
- $2,4-DNP $ test can be used to identify :
- JIPMER - 2021
- Chemical Reactions
- How many moles of acidified $K_2Cr_2O_7$ is required to liberate $6$ moles of $I_2$ from an aqueous solution of $I^-$ ?
- JIPMER - 2020
- Mole concept and Molar Masses
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].