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Two satellites of masses of `m_(1)` and `m_(2)(m_(1)gtm_(2))` are revolving round the earth in circular orbits of radius `r_(1)` and `r_(2)(r_(1)gtr_(2))` respectively. Which of the following statements is true regarding their speeds `v_(1)` and `v_(2)`?A. `v_(1)=v_(2)`B. `v_(1)gtv_(2)`C. `v_(1)ltv_(2)`D. `(v_(1))/(r_(1))=(v_(2))/(v_(2))` |
Answer» Correct Answer - C `m_(1)v_(1)^(2)= m_(1)(GM)/(r_(1)^(2)), (m_(2)v_(2)^(2))/(r_(2))=m_(2)(GM)/(r_(2)^(2))` `(v_(1)^(2))/(v_(2)^(2))=(r_(2))/(r_(1)),r_(2)ltr_(1)impliesv_(1)^(2)ltv_(2)^(2)` Hence `v_(1)ltv_(2)` |
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