Question 331: Waves

Question

A transverse wave travelling along a stretched string has a speed of $30 \mathrm{~m} / \mathrm{s}$ and a frequency of 250 Hz . The phase difference between two points on the string 10 cm apart at the same instant is

Accepted Answer

The wavelength of the wave is given by,
$\lambda=\frac{\mathrm{v}}{\mathrm{n}}=\frac{30}{250}=0.12 \mathrm{~m}$
Also, the phase difference ' $\phi$ ' is given by,
$\phi=\frac{2 \pi}{\lambda} 	imes$ path difference
$$\begin{array}{ll}
	herefore & \phi=\frac{2 \pi(0.1)}{\lambda} \quad	ext{... (path difference = 10 cm = 0.1 m)}\
	herefore & \phi=\frac{2 \pi}{0.12} 	imes 0.1 \
	herefore & \phi=\left(\frac{5 \pi}{3}ight)^c
\end{array}$$

Answer

$0^c$

Answer

$\left(\frac{\pi}{2}\right)^c$

Answer

$\left(\frac{5 \pi}{3}\right)^c$

Answer

$\left(\frac{8 \pi}{3}\right)^c$

Waves

A transverse wave travelling along a stretched string has a speed of 30 \mathrm{~m} / \mathrm{s} and a frequency of 250 Hz . The phase difference between two points on the string 10 cm apart at the same instant is

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