find the ratio of acceleration due to gravity of two planets of their radii are in the radio 1:2 their
(i) mass remains the same
(ii) material remains the same

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Solution

$W e k n o w t h a t, g = \frac{G M}{R^{2}} \frac{g}{g'} = \frac{M}{M'} {(\frac{R'}{R})}^{2} \frac{R}{R'} = 2 : 1 (i) i f m a s s i s s a m e \frac{g}{g'} = \frac{4}{1} (i i) A c c e l e r a t i o n d u e t o g r a v i t y d o e s n o t d e p e n d u p o n t h e m a t e r i a l .$

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find the ratio of acceleration due to gravity of two planets of their radii are in the radio 1:2 their (i) mass remains the same (ii) material remains the same

We know that,g = G MR2gg'=MM'R'R2 RR'=2:1(i) if mass is samegg'=41(ii) Acceleration due to gravity does not depend upon the material.

find the ratio of acceleration due to gravity of two planets of their radii are in the radio 1:2 their
(i) mass remains the same
(ii) material remains the same

$W e k n o w t h a t, g = \frac{G M}{R^{2}} \frac{g}{g'} = \frac{M}{M'} {(\frac{R'}{R})}^{2} \frac{R}{R'} = 2 : 1 (i) i f m a s s i s s a m e \frac{g}{g'} = \frac{4}{1} (i i) A c c e l e r a t i o n d u e t o g r a v i t y d o e s n o t d e p e n d u p o n t h e m a t e r i a l .$