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If two planets of radii `R_(1) and R_(2)` have densities `d_(1) and d_(2)`, then the ratio of their respective acceleration due to gravity isA. `r_(1)d_(1):r_(2)d_(2)`B. `r_(1)d_(2):r_(2)d_(1)`C. `r_(1)^(2)d_(1):r_(2)^(2)d_(2)`D. `r_(1):r_(2)` |
Answer» Correct Answer - A We know that `g=(GM_(e ))/(R_(e)^(2)) and d=(M_(e ))/(4/3pi R_(e)^(3))` `rarr g=(4pi GdR_(e))/(3) rarr g prop R_(e )` `therefore (g_(1))/(g_(2))=(d_(1)r_(1))/(d_(2)r_(2))` |
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