Problem

Two particles start together from a point

O

and slide down along straight smooth wires inclined at

30^\circ

and

60^\circ

to the vertical plane and on the same side of vertical through

O

. The relative acceleration of second with respect to first will be of magnitude a.

\frac{g}{2}

\frac{\sqrt{3}g}{2}

\frac{g}{\sqrt{3}}

g