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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationKepler's LawMedium2 minPYQ_2006

PhysicsMediumsingle choice

Earth is revolving around the sun. If the distance of the earth from the sun is reduced to $1/4$ th of the present distance then the length of present day will be reduced by :

Options:

Answer:

Solution:

From Kepler's law $T^{2} \propto R^{3} ∴ (\frac{T _{1}}{T _{2}})^{2} = (\frac{R _{1}}{R _{2}})^{3} \frac{T _{1}}{T _{2}} = (\frac{R _{1}}{R _{2}})^{3/2} = (\frac{R}{R /4})^{3/2} = (4)^{3/2} = (2)^{3} = 8 ∴ T_{2} = \frac{T _{1}}{8}$ Hence, the length of the day is reduced by $\frac{1}{8}$ .

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

⏱ 2mℹ️ Source: PYQ_2006

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