9th Class Science Gravitation and Floatation Question Bank Gravitation

  • question_answer
    A satellite is revolving in a circular orbit at a distance of 2620 km from the surface of the earth. The time period of revolution of the satellite is (Radius of the earth = 6380 km, mass of the earth \[=6\times {{10}^{24}}kg,G=6.67\times {{10}^{-11}}N-{{m}^{2}}^{/}k{{g}^{2}})\]

    A)  2.35 hours           

    B)  23.5 hours

    C)  3.25 hours       

    D)         32.5 hours

    Correct Answer: A

    Solution :

     Orbital velocity,\[{{v}_{0}}=\sqrt{\frac{G{{M}_{e}}}{{{R}_{e}}+h}}\]                 \[=\sqrt{\frac{(6.67\times {{10}^{-11}})(6\times {{10}^{24}})}{6380+2620}}\]                 \[=\mathbf{6}\mathbf{.67}\,\,\mathbf{km/sec}\] Time-period of revolution,           \[T=2\pi \frac{({{R}_{e}}+h)}{{{v}_{0}}}\]                 \[=\frac{2\times 3.14\times (6380+2620)}{6.67\times {{10}^{3}}}\]                 \[\mathbf{=8474}\,\,\mathbf{sec=2}\mathbf{.35}\]hours


You need to login to perform this action.
You will be redirected in 3 sec spinner