In the following four periods (i) Time of revolution of a satellite just above the earth’s surface (Tst)(ii) Period of oscillation of mass inside the tunnel bored along the diameter of the earth (Tma)(iii) Period of simple pendulum having a length equal to the earth’s radius in a uniform field of $$9.8$$ $$N/kg$$ (Tsp)(iv) Period of an infinite length simple pendulum in the earth’s real gravitational field (Tis)

Question

In the following four periods     (i) Time of revolution of a satellite just above the earth’s surface  (Tst)(ii) Period of oscillation of mass inside the tunnel bored along the diameter of the earth  (Tma)(iii) Period of simple pendulum having a length equal to the earth’s radius in a uniform field of $$9.8$$ $$N/kg$$  (Tsp)(iv) Period of an infinite length simple pendulum in the earth’s real gravitational field  (Tis)

Infinity Learn · Accepted Answer

(i) $$Tst=2$$π$$(R+h)3GM=2$$$$π$$Rg                                  [As h<

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