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Weight of a body on the surfaces of two planets is the same. If their densities are `d_(1) and d_(2)`, then ratio of their radii isA. `d_(1)//d_(2)`B. `d_(2)//d_(1)`C. `d_(1)^(2)//d_(2)^(2)`D. `d_(2)^(2)//d_(2)^(2)` |
Answer» Correct Answer - b `W_(1)=W_(2)` `mg_(1)=mg_(2)` `(GM_(1))/(R_(1)^(2))=(GM_(2))/(R_(2)^(2))` `(Gd_(1)(4pi)/(3)R_(1)^(3))/(R_(1)^(2))=(Gd_(2)(4pi)/(3)R_(2)^(3))/(R_(2)^(2))` `d_(1)R_(1)^(1)=d_(2)R_(2)^(2)` `(d_(1))/(d_(2))=(R_(2))/(R_(1))` |
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