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  • Help me answer: The radii of circular orbits of two satellitesA and B of the earth, are 4 R and R, respectively. If the speed of satellite A is 3 V, then the speed of satellite B will be:

The radii of circular orbits of two satellites A and B of the earth, are 4 R and R, respectively. If the speed of satellite A is 3 V, then the speed of satellite B will be:

  • Option 1)

    3 V/4

  • Option 2)

    6 V

  • Option 3)

    12 V

  • Option 4)

    3 V/2

 

Answers (1)

best_answer

 

Orbital velocity of satellite -

V=sqrt{frac{GM}{r}}

r=R+h

r ightarrow Position of satellite from the centre of earth

V ightarrow Orbital velocity

- wherein

The velocity required to put the satellite into its orbit around the earth.

 

 Foe satelite A

r_{A}=4R      V_{A}=3V

V_{A}=\sqrt{\frac{Gm}{r_{A}}}

For satelite B

r_{B}=R      V_{B}=?

V_{B}=\sqrt{\frac{Gm}{r_{B}}}

\frac{V_{B}}{V_{A}}=\sqrt{\frac{r_{A}}{r_{B}}}

= V_{B}=V_{A}\sqrt{\frac{r_{A}}{r_{B}}}=3V\sqrt{\frac{4R}{R}}

V_{B}=3V\times 2=6V

V_{B}=6V

 


Option 1)

3 V/4

Incorrect Option

Option 2)

6 V

Correct Option

Option 3)

12 V

Incorrect Option

Option 4)

3 V/2

Incorrect Option

Posted by

divya.saini

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