Question

For a central force, effective potential energy diagram as a function of distance 'r' is given (for a given angular momentum L)

Answer 1

$E_{total}=KE+PE$

For $E_{total}<U_m,KE<0$

$\therefore$ $A\to 3$

For $E_{total}=U_m,KE=0$

$\therefore$ $B\to 1$

For $E_{total}>U_m$, the particle has unbounded motion and there is no constraint on r.

$\therefore$ $C\to 5,D\to 2$

For $0>E_{total}\ge U_m$, at $r_{max}$ and $r_{min}$ velocity is tangential.

$\therefore$ radial component of velocity is zero.

$\therefore$ $B\to 4$.