1.

By what percent the energy of the satellite has to be increased to shift it from an orbit of radius `r` to `(3r)/2`.A. `20%`B. `40%`C. 0.3333D. `66.66%`

Answer» Correct Answer - C
B.E. of a satellite for an orbit of radius r is
`E_(1)=(GMm)/(2r)`
and for radius `(3r)/(2), E_(2)=(GMm)/(2xx(3)/(2)r)=(GMm)/(3r)`
`therefore Delta E = (GMm)/(r )[(1)/(2)-(1)/(3)]=(GMm)/(6r)`
`therefore` Percentage increase in energy `=(Delta E)/(E )=xx 100`
`=((GMm)/(6r))/((GMm)/(2r))xx100`
`= (1)/(3)xx100=33.33%`


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