Question

List 1 shows four systems, each of the same length $L$, for producing standing waves. The lowest possible natural frequency of a system is called its fundamental frequency, whose wavelength is denoted as ${\lambda }_f$. Match each system with statements given in List 2 describing the nature and wavelength of the standing waves.

Answer 1

(A) $\frac{{\lambda }_1}{4}=L$
${\lambda }_1=4L$
Longitudinal wave

(B) $\frac{{\lambda }_1}{2}=L$
${\lambda }_1=2L$
Longitudinal wave

(C) $\frac{{\lambda }_1}{2}=L$
${\lambda }_1=2L$
Transverse wave

(D) $\frac{{\lambda }_1}{2}+\frac{{\lambda }_1}{2}=L$
${\lambda }_1=L$
Transverse wave