Waves and Sound

A string wave equation is given $y=0.002 \sin (300 t-15 x)$ and mass density is $\mu$ $=0.1 \mathrm{~kg} \mathrm{~m}^{-1}$. Then find the tension in the string?

If speed of sound in air in $330 \mathrm{~m} \mathrm{~s}^{-1}$, then find the number of overtones present in an open organ pipe of length $1 \mathrm{~m}$ whose frequency $f \leq 1000$

Two sources of sound $S_1$ and $S_2$ are moving towards and away from a stationary observer with same speed respectively. Observer detects 3 beats per second. Find the speed of sources (approximately). Given,…

Assertion : Resonance is a special case of forced vibrations in which the natural frequency of vibration of the body is the same as the impressed frequency of external periodic force and the amplitude of forced…

Assertion : The speed of sound in a gas is not affected by change in pressure provided the temperature of the gas remains constant. Reason : The speed of sound is inversely proportional to the square root of the density…

Assertion : In a string wave, during reflection from fix boundary, the reflected waves is inverted. Reason : The force on string by clmap is in downward direction while string is pulling the clamp in upward direction.

Assertion : Water waves in a river are not polarized. Reason : Water waves are longitudinal as well as transverse in nature.

A wave packet with center frequency $\omega$ is propagating in dispersive medium with phase velocity of $1.5 \times 10^3 \mathrm{~m} / \mathrm{s}$. When the frequency $\omega$ is increased by $2 \%$, the phase velocity…

A wave is represented by the equation $y=0.5 \sin (10 t-x)$ metre It is a travelling wave propagating along $+x$ direction with velocity

Assertion : The fundamental frequency of an open organ pipe increases as the temperature is increased. Reason : This is because as the temperature increases, the velocity of sound increases more rapidly than length of…

The equation of a progressive wave is given by $y=5 \sin (100 \pi t-0.4 \pi x)$ where $y$ and $x$ are in $\mathrm{m}$ and $t$ is in $\mathrm{s}$. (1) The amplitude of the wave is $5 \mathrm{~m}$. (2) The wavelength of…

Assertion : To hear distinct beats, difference in frequencies of two sources should be less than 10 . Reason: More the number of beats per sec more difficult to hear them.