Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
     Rohini satellite at a height of 500 km and INSAT-B at a height of 3600 km from surface of earth, then relation between their orbital velocity \[({{v}_{R,}}{{v}_{I}})\] is

    A)  \[({{v}_{R}}>{{v}_{I}})\]                               

    B)  \[({{v}_{R}}<{{v}_{I}})\]

    C)  \[{{v}_{R}}={{v}_{I}})\]                                

    D)  No relation

    Correct Answer: A

    Solution :

    Orbital velocity of a satellite is given by \[{{v}_{o}}=\sqrt{\frac{G{{M}_{e}}}{r}}\]                 where G= gravitational constant.                                 \[{{M}_{e}}=\] mass of the earth r = distance of the satellite from the centre of  the earth \[\therefore \]  \[{{v}_{o}}\propto \frac{1}{\sqrt{r}}\]    As the distance of INSAT-B from the centre of the earth is greater than the distance of Rohini from the centre of the earth                 \[\therefore \]  \[{{v}_{R}}>{{v}_{I}}\]


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