Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationField & ForceEasy2 minPYQ_2020

PhysicsEasysingle choice

The acceleration due to the gravity on the moon is one-sixth of the acceleration due to gravity on the earth. If the average density of the moon is three fifth that of earth, the moon's radius in terms of earth's radius $R_{e}$ is

Options:

Answer:

Solution:

We know

$g = \frac{4}{3} π G R ρ$ . so

$\frac{g_{M o o n}}{g_{e a r t h}} = \frac{\frac{4}{3} π G R_{M o o n} ρ_{M o o n}}{\frac{4}{3} π G R_{e} ρ_{e}}$

$\Rightarrow \frac{g / 6}{g} = \frac{4}{3} π G R_{m} ρ_{m} / \frac{4}{3} π G R_{e} ρ_{e}$

$\Rightarrow R_{m} = \frac{5}{18} R_{e} = 0.27 R_{e}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:GravitationSubtopic:Field & Force

⏱ 2mℹ️ Source: PYQ_2020

Doubts & Discussion

Loading discussions...