In the following four periods
(i) Time of revolution of a satellite just above the earth’s surface $(T_{s t})$
(ii) Period of oscillation of mass inside the tunnel bored along the diameter of the earth $(T_{m a})$
(iii) Period of simple pendulum having a length equal to the earth’s radius in a uniform field of 9.8 N/kg $(T_{s p})$
(iv) Period of an infinite length simple pendulum in the earth’s real gravitational field $(T_{i s})$

Question

In the following four periods
(i) Time of revolution of a satellite just above the earth’s surface

(T_{s t})

(ii) Period of oscillation of mass inside the tunnel bored along the diameter of the earth

(T_{m a})

(iii) Period of simple pendulum having a length equal to the earth’s radius in a uniform field of 9.8 N/kg

(T_{s p})

(iv) Period of an infinite length simple pendulum in the earth’s real gravitational field

(T_{i s})

Infinity Learn · Accepted Answer

(i) $$Tst=2$$π$$(R+h)3GM=2$$π$$(R+0)3gR2=2$$$$π$$Rg         [As h <

Remember concepts with our Masterclasses.