Embibe Experts Solutions for Chapter: Wave Motion on a String, Exercise 6: Exercise (Previous Year Questions)

For waves propagating in a medium, identify the property that is independent of the others.

A wave in a string has an amplitude of $2 \mathrm{cm}$. The wave travels in the positive direction of $x$-axis with a speed of $128 \mathrm{m} {\mathrm{s}}^{-1}$ and it is noted that $5$ complete waves fit in $4 \mathrm{m}$ length of the string. The equation describing the wave is,

The equation of a simple harmonic wave is given by, $y=3\sin \frac{\pi }{2}(50t-x)$ where, $x \text{and} y$ are in $\mathrm{meters}$ and $t$ is in $\sec$. The ratio of maximum particle velocity to the wave velocity is,

If $n_1, n_2, n_3$ are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by

A string of linear mass density $4 \mathrm{g} {\mathrm{cm}}^{-1}$ is vibrating according to equation, $y=A\sin \left(120\pi t\right)\cos \left(\frac{2\pi }{5}x\right)$ where, $x$ is in centimetres. Find the tension in the string.

Intensity of two waves are $9I \text{and} I$, respectively. Find out the resultant intensity if phase difference between them is $\pi$.

A stretched string with tension $20 \mathrm{N}$ and mass per unit length $5 \mathrm{g} {\mathrm{cm}}^{-1}$ is vibrating with frequency $20 \mathrm{Hz}$. Calculate minimum length of string.

A string of mass $10 \mathrm{g}$ and length $1 \mathrm{m}$ is stretched between two rigid supports. It vibrates with fundamental note of $50 \mathrm{Hz}$. The tension in string is,