Start Free Mock LoginAlready registered? Login here

Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationKepler's LawEasy2 minPYQ_2020

PhysicsEasysingle choice

Suppose the gravitational force varies inversely as the $n^{th}$ power of distance, then the time period of a planet in a circular orbit of radius $r$ around the Sun will be proportional to

Options:

Answer:

Solution:

Given $F = \frac{k}{r^{n}}$

Now $F = \frac{m v^{2}}{r}$ (centerialpetal force) $= m ω^{2} r$

$\Rightarrow \frac{k}{r^{n}} = m {(\frac{2 π}{T})}^{2} r$

$T^{2} \propto r^{n + 1}$

$T \propto r^{\frac{n + 1}{2}}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:GravitationSubtopic:Kepler's Law

⏱ 2mℹ️ Source: PYQ_2020

Doubts & Discussion

Loading discussions...