Waves practice · Mixed difficulty

The disc of a siren containing $60$ holes rotates at a constant speed of $360$ rpm. The emitted sound is in unison with a tuning fork of frequency

The equation of a cylindrical progressive wave is

If the velocity of sound in air is 350 m/s. Then the fundamental frequency of an open organ pipe of length 50 cm will be

The amplitude of a wave is given by $A$ $= \frac{c}{{a + b + c}}$ . Resonance will occur when

The first overtone in a closed pipe has a frequency

A wave is represented by $y = 2\sin \pi \left( {4t - x} \right)$. where x and y are in metres and t is in seconds. The wavelength of the wave is

If the tension and diameter of a sonometer wire having fun

The amplitude of two waves are in ratio $5:2$. If all other conditions for the two waves Are same, then what is the ratio of their energy densities?

Assertion (A) : When a wave travels from a denser medium to rarer medium, then amplitude of oscillation increases.

Reason (R) : In denser medium, speed of wave is less compared to a rarer medium.

An observer moves towards a stationary source of sound with a velocity one-fourth of the velocity of sound. What is the percentage increases in the apparent frequency?

The speed of sound in gas of density $ρ$ at a pressure $p$ is proportional to

A pulse or a wave train travels along a stretched string and reaches the fixed end of the string. It will be reflected back with

If wave $y = a\,\,\cos \left( {\omega t + kx} \right)$ is moving along $x - axis$, the shape of pulse at $t = 0\,\,and\,\,t = 2\,s$

What is the maximum possible sound level in dB of sound waves in air? Given that density of air $=1.3 \mathrm{~kg} / \mathrm{m}^3, v=332 \mathrm{~m} / \mathrm{s}$ and atmospheric pressure $P=1.01 \times 10^5\,\mathrm{~N} / \mathrm{m}^2$.

Two tuning forks of frequency 250 Hz and 256 Hz produce beats. Then beat frequency is

If $x=a \sin [\omega t+(\pi / 3)]$ and $x^{\prime}=a \cos \omega t$, then what is the phase difference between two waves?

Assertion (A): When a travelling wave is sent along a particular string by oscillating one end, the speed of the wave will increase if we increase the frequency of oscillations.
Reason (R): If a travelling wave sent along a particular string by oscillating its one end, it is the wave length of the wave that decreases.

The waves of wavelength $5900\,\mathop \mathrm{A}\limits^ \circ$ emitted by any atom or molecule must have some finite total length which is known as coherence length. For sodium light, this length is 2.4 cm. The number of oscillations in this length will be

$y = 5\,\,\sin \left( {30\pi t - \frac{\pi }{7} + 30^\circ } \right)y \to mm,t \to s,x \to m$. for given progressive wave equation, phase difference between two vibrating particle having path difference $3.5\mathrm{ }m$ would be

Statement-I: In transverse wave particle velocity is perpendicular to wave velocity.
Statement-II: In a longitudinal wave particle velocity is along the direction of propagation of wave.

A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequency for this string is:

Statement – 1: Newton’s equation for speed of sound in air was found wrong because, he assumed process as isothermal
Statement – 2: Flow of sound wave in a medium is very fast. Quick process suppress heat exchange, hence this process must be adiabatic in nature.

The waves in which the particles of the medium vibrate in a direction perpendicular to the direction of wave motion is known as

In stationary wave

The number of waves contained in unit length of the medium is called

A wave travelling in the positive $x$-direction with amplitude $A=0.2 {~m}$, velocity $v=360 {~ms}^{-1}$ and wavelength $\lambda=60 {~m}$, then the correct expression for the wave is

Given that $y = A\sin \left[ {\left( {\frac{{2\pi }}{\lambda }\left( {ct - x} \right)} \right)} \right]$, where $y$ and $x$ are measured in metres. Which of the following statements is true

A wave pulse starts propagating in +ve X-direction along a non-uniform wire of length ' $L$ ', with mass per unit length given by $\mu=M_o+\alpha x$ and under a tension of $TN$. Find the time taken by the pulse to travel from the lighter end $(x=0)$ to the heavier end.

A uniform string is vibrating with a fundamental frequency $f$. The new frequency, if radius $\&$ length both are doubled would be

The frequency of a sonometer wire is $100\,\,Hz$. When the weights producing the tension are completely immersed in water, the frequency becomes $80\,\,Hz$ and on immersing the weights in a certain liquid, the frequency becomes $60\,\,Hz$. The specific gravity of the liquid is