Waves practice · Medium

5 beats/second are heard when a turning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either 0.95 m or 1 m. The frequency of the fork will be :

Assertion (A) : Stationary waves are so called because particles are at rest in stationary waves.

Reason (R) : They are formed by the superposition of two identical waves travelling in opposite directions.

A string is under tension so that its length is increased by $\frac{1}{n}$ times its original length. The ratio of fundamental frequency of longitudinal vibrations and transverse vibrations will be

A gas mixture has $24 \%$ of Argon, $32 \%$ of oxygen, and $44 \%$ of $\mathrm{CO}_2$ by mass. Find the velocity of sound in the gas mixture at $27^{\circ} \mathrm{C}$. Given $R=8.4$ S.I. units. Molecular weight of $(\mathrm{Ar}=40),\left(\mathrm{O}_2=32\right),\left(\mathrm{CO}_2=44\right)$.

$\gamma_{\mathrm{Ar}}=5 / 3, \gamma_{\mathrm{O}_2}=7 / 5, \gamma_{\mathrm{CO}_2}=4 / 3 \text {. }$

If source and observer both are relatively at rest and if speed of sound is increased then frequency heard by observer will

Equation of a plane progressive given by $y=0.6 \sin2 \pi\left(t-\frac{x}{2}\right)$. On reflection from a denser medium its amplitude becomes $2 / 3$ of the amplitude of the incident wave. The equation of the reflected wave is

A $20\,\,cm$ long string, having a mass of $1.0\,\,g$, is fixed at both the ends. The tension in the string is $0.5\,\,N$. the string is set into vibration using an external vibrator of frequency $100\,\,Hz$. Find the separation (in $cm$) between the successive nodes on the string

A closed organ pipe and an open pipe of same length produce $2$ beats ${\mathrm{s}^{ - 1}}$ when they are set into vibrations together in fundamental mode. The length of open pipe is now halved and that of closed pipe is doubled. The number of beats produced will be

A train approaching a platform at a speed of $54 \mathrm{~km} / \mathrm{h}$ sounds a whistle. An observer on the platform finds its frequency to be $1620 \mathrm{~Hz}$. The train passes the platform keeping the whistle on and without slowing down. What frequency will the observer hear after the train has crossed the platfrom? The speed of sound in air $=332 \mathrm{~m} / \mathrm{s}$.

An observer is approaching a stationary source with a velocity $1/4$ th of the velocity of sound. Then the ratio of the apparent frequency to actual frequency of source is

The frequency of a tuning fork with amplitude $A=1 \mathrm{~cm}$ is $250 \mathrm{~Hz}$. The maximum velocity of any particle in air is equal to

The stationary wave $y = 2a\,\,\sin \,\,\,k\,\,x\,\,\cos \,\,\,\omega t$ in a closed organ pipe is the result of the superposition of $y = a\,\,\,\,\sin \left( {\omega t - kx} \right)$ and

A tuning fork of frequency $340 \mathrm{~Hz}$ is sounded above an organ pipe of length $120 \mathrm{~cm}$. Water is now slowly poured in it. The minimum height of water column required for resonance is (speed of sound in air $=340 \mathrm{~m} / \mathrm{s}$ )

Equation of motion of wave in the same direction is given by ${y}_1={A} \sin (\omega {t}-{Kx}), {y}_2={A} \sin (\omega {t}-{kx}+\phi)$. The resultant amplitude of the medium particle will be

The relation between velocity of sound in a gas $(v)$ and rms velocity of molecules of gas $\left(v_{\mathrm{rms}}\right)$ is:

The loudness and pitch of a sound depends on

Statement-I: Mechanical waves require material medium for their propagation.
Statement-II: Transverse waves cannot be generated with in the liquids.

Ultrasonic waves are those waves

Ten tuning forks are arranged in increasing order of frequency in such a way that any two consecutive tuning forks produces 8 beats/s. The highest frequency is four times that of the lowest. Possible highest and lowest frequencies (in ${Hz}$ ) are

A tuning fork gives $5$ beats with another tuning fork of frequency $100\,\,Hz.$ When the first tuning fork is loaded with wax, then the number of beats remains unchanged, then what will be the frequency of the first tuning fork

If ${n_1},{n_2},{n_3} \ldots .$ are the frequencies of segments of a stretched string, the frequency $n$ of the string is given by

Two waves represented by $\mathrm{y}_1=10 \sin (2000 \pi \mathrm{t}+2 \mathrm{x})$ and $\mathrm{y}_2=10 \sin (2000 \pi \mathrm{t}+2 \mathrm{x}+\pi / 2)$ are superposed at any point at a particular instant. The resultant amplitude is:

The wavelengths of two waves are $50\mathrm{ }\,and\;\,\,51\,\,cm$ respectively. If the temperature of the room is $20\,^\circ C$, then what will be the number of beats produced per second by these waves, when the speed of sound at $0\,^\circ C$ is $332\,\,m/\sec$

It is possible to distinguish between the transverse and longitudinal waves by studying the property of

The fundamental frequency of an open pipe of length $1 \mathrm{~m}$, if the speed of sound in air is $340 \mathrm{~ms}^{-1}$ is

Energy is not carried by which of the following waves

A sound wave of frequency $n$ travels horizontally to the right. It is reflected from a large vertical plane surface moving to the left with speed $v$. The speed of the sound in the medium is $c.$ Then

A string on a musical instrument is 50 cm long and its fundamental frequency is 270 Hz. If the desired frequency of 1000 Hz is to be produced, the required length of the string is (in cm)

If a length of a closed organ pipe is $1\,\,m$ and velocity of sound is $400\,\,m/s$, then the frequency for the second note is

At $16^{\circ} {C}$, two open end organ pipes, when sounded together give 34 beats in $2 {~s}$. How many beats per second will be produced, if the temperature is raised to $51^{\circ} {C}$ ?
(Neglect increase in length of the pipes)