Banking Physics Wave Mechanics Question Bank Mechanics

  • question_answer Two satellites of earth, \[{{S}_{1}}\], and \[{{S}_{2}}\] are moving in the same orbit. The mass of \[{{S}_{1}}\] is four times the mass of \[{{S}_{2}}\].Which one of the following statements is true?

    A)  The potential energies of earth satellites in the two cases are equal.

    B)  \[{{S}_{1}}\] and \[{{S}_{2}}\] are moving with the same speed.  

    C)  The kinetic energy of the two satellites are equal.

    D)  The time period of \[{{S}_{1}}\] is four times that of \[{{S}_{2}}\]

    Correct Answer: B

    Solution :

     Since orbital velocity of satellite is\[{{V}_{0}}=\sqrt{\frac{GM}{r},}\]it does not depend upon the mass of the satellite. Therefore, both satellites will move with same speed.

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