1.

A rocket is fired vertically upwards with a speed of `upsilon (=5 km s^(-1))` from the surface of earth. It goes up to a height `h` before returning to earth. At height `h` a body is thrown from the rocket with speed `upsilon_(0)` in such away so that the body becomes a satellite of earth. Let the mass of the earth, `M = 6 xx 10^(24) kg`, mean radius of the earth, `R = 6.4 xx 10^(6)m, G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) , g = 9.8 ms^(-2)`. Answer the following questions: Time period of revollution of satellite around the earth isA. `3550 s`B. `7100 s`C. `5330 s`D. `8880 s`

Answer» Correct Answer - B
Time period of revolution of satellite,
`T = (2pi(R + h))/(upsilon_(0))`
`= (2 xx (22//7) xx (6.4 xx 10^(6) + 1.6 xx 10^(6)))/(7.1 xx 10^(3))`
`= 7082 ~~ 7100 s`


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