Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationKepler's LawEasy2 minPYQ_2020

PhysicsEasysingle choice

If the earth be in half of its distance from the Sun, how many days will be in one year?

Options:

Answer:

Solution:

According to Kepler's laws

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

When $R_{2} = \frac{R_{1}}{2}$

$\frac{T_{2}^{2}}{T_{1}^{2}} = {(\frac{R_{1}}{2})}^{3} \times \frac{1}{R_{1}^{3}} = \frac{R_{1}^{3}}{8} \times \frac{1}{R_{1}^{3}} = \frac{1}{8}$

$\frac{T_{2}^{2}}{T_{1}^{2}} = \frac{1}{8}$

$\Rightarrow T_{2} = \frac{T_{1}}{2 \sqrt{2}}$

$= \frac{365}{2 \times 1.414}$

$T_{2} = 129 d a y s$

Subject:PhysicsTopic:GravitationSubtopic:Kepler's Law

⏱ 2mℹ️ Source: PYQ_2020

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