If gravitational attraction between two points masses be given by F = G r n m 1 m 2 , then the period of a satellite in a circular orbit will be proportional to

r m v 2 = r n G m 1 m 2 or v ∝ r ( 2 1 − n ) Now, T = v 2 π r or T ∝ V r ∴ T ∝ r ( 2 1 − n ) r T ∝ r 2 1 + n

Start Free Mock LoginAlready registered? Login here

Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationSatellite MotionHard2 minPYQ_2024

PhysicsHardsingle choice

If gravitational attraction between two points masses be given by $F = G \frac{m _{1} m _{2}}{r ^{n}}$ , then the period of a satellite in a circular orbit will be proportional to

Options:

Answer:

Solution:

$\frac{m v ^{2}}{r} = \frac{G m _{1} m _{2}}{r ^{n}}$ or $v \propto r^{(\frac{1 - n}{2})}$ Now, $T = \frac{2 π r}{v}$ or $T \propto \frac{r}{V}$ $∴ T \propto \frac{r}{r ^{(\frac{1 - n}{2})}}$ $T \propto r^{\frac{1 + n}{2}}$

Stream:VITEEESubject:PhysicsTopic:GravitationSubtopic:Satellite Motion

⏱ 2mℹ️ Source: PYQ_2024

Doubts & Discussion

Loading discussions...