Physics - Gravitation Question with Solution | TestHub

A particle of mass m is subjected to an attractive central force of magnitude $\mathrm{k}/{\mathrm{r}}^2,\mathrm{k}$ being a constant. If at the instant when the particle is at an extreme position in its closed elliptical (not circular) orbit, at a distance a from the centre of force, its speed is $\sqrt{(\mathrm{k}/2\mathrm{ma})}$, if the distance of other extreme position is ' b '. Find $\mathrm{a}/\mathrm{b}$. (where $\mathrm{a}>\mathrm{b}$ )