Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : A simple pendulum is taken to a planet of mass and radius, 4 times and 2 times

Question

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : A simple pendulum is taken to a planet of mass and radius, 4 times and 2 times, respectively, than the Earth. The time period of the pendulum remains same on earth and the planet. Reason (R): The mass of the pendulum remains unchanged at Earth and the other planet. In the light of the above statements, choose the correct answer from the options given below :

Options:

Answer:

D

Solution:

$g = \frac{GM}{R ^{2}} g^{'} = \frac{G ( 4 M )}{( 2 R ) ^{2}} = g$ A is correct, $R$ is correct ; but since $T = 2 π \frac{ℓ}{g}$ doesn't depend on mass ; R doesn't explain A .

TestHub · Accepted Answer

​ g = R 2 GM ​ g ′ = ( 2 R ) 2 G ( 4 M ) ​ = g ​ A is correct, R is correct ; but since T = 2 π g ℓ ​ ​ doesn't depend on mass ; R doesn't explain A .

Physics - Gravitation Question with Solution | TestHub

Options:

Doubts & Discussion