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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationKepler's LawEasy2 minPYQ_2020

PhysicsEasysingle choice

Two small satellites are moving in circular orbits around the earth at a distance $R$ and $R + △ R$ from the centre of the earth. If their time period of rotation are $T$ and $T + △ T$ respectively, then $(ΔR < K)$

Options:

Answer:

Solution:

$T \propto R^{\frac{3}{2}}$

$\frac{(T + ΔT)}{T} = {(\frac{R + ΔR}{R})}^{3 / 2}$

$1 + \frac{ΔT}{T} = {(1 + \frac{ΔR}{R})}^{3 / 2}$

$∴ Δ R < < R$

$1 + \frac{ΔT}{T} = 1 + \frac{3}{2} \frac{ΔR}{R}$

$\frac{ΔT}{T} = \frac{3}{2} \frac{ΔR}{R}$

$ΔT = \frac{3}{2} T \cdot \frac{ΔR}{R}$

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

⏱ 2mℹ️ Source: PYQ_2020

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