Question

Find the distance between two consecutive nodes if a string has tension $0.25\, N$, mass per unit length is $1\, mg/m$ and frequency is $250\, Hz$.

• A. 2 m
• B. 1 m
• C. 3 m
• D. 1.5 m

Answer 1

Answer: (B)

The speed of transverse wave on the string will
be, $v=\sqrt{\frac{T}{m}}$
$v=\sqrt{\frac{0.25}{1\times10^{-6}}}$
$v = 500 \,m/sec$
and
$v = f \lambda$
So, $\lambda=\frac{500}{250}$
$\lambda=2 m$
Distance between two consecutive nodes is given by,
$=\frac{\lambda}{2}=1 m$