1.

A man weighs 50 kg at earth'ssurface. At what height above the earth's surface his weight becomes half (Radius of earth = 6400 km) :

Answer»

2526 km
6400 km
2650 km
3200 km.

Solution :`(mg.)/(mg)=(1)/(2) rArr (g.)/(g)=(1)/(2)`
or `(R^(2))/((R+H)^(2))=(1)/(2) rArr (R )/(R+h)=(1)/(sqrt(2))`
`therefore sqrt(2)R=R+h`
`h=(sqrt(2)-1)R=0.414xx6400=2650` km.
Thus CORRECT CHOICE is (c ).


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