question_answer

Two satellites of masses \[{{m}_{1}}\] and \[{{m}_{2}}({{m}_{1}}>{{m}_{2}})\] are revolving round the earth in circular orbits of radius \[{{r}_{1}}\] and \[{{r}_{2}}({{r}_{1}}>{{r}_{2}})\] respectively. Which of the following statements is true regarding their speeds \[{{v}_{1}}\] and \[{{v}_{2}}\] ? [NCERT 1984; MNR 1995; BHU 1998]

A)             \[{{v}_{1}}={{v}_{2}}\]    

B)             \[{{v}_{1}}<{{v}_{2}}\]

C)             \[{{v}_{1}}>{{v}_{2}}\]    

D)             \[\frac{{{v}_{1}}}{{{r}_{1}}}=\frac{{{v}_{2}}}{{{r}_{2}}}\]