(a) $(i)\ Here,\ \frac{\lambda}{2} = l \Longrightarrow \lambda = 2l$
[image:15_image63.jpeg]
So, $v_{1} = \frac{v}{2l}$
$(ii)and\frac{\lambda}{4} = \frac{l}{2}\ $
$\lambda = \frac{4\lambda}{2} = 2l$
$\therefore v_{2} = \frac{v}{2l},\ the\ same$
$\therefore(original)is\ the\ frequency,$
[image:15_image64.jpeg]