Waves

The length and diameter of a metal wire used in sonometer is doubled. The fundamental frequency will change from 'n' to

A closed organ pipe and an open organ pipe of same length produce 2 beats per second 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 bea...

A cylindrical tube open at both ends has fundamental frequency 'n' in air. The tube is dipped vertically in water so that one-fourth of it is in water. The fundamental frequency of the air column becomes

The fundamental frequency of an air column in pipe 'A' closed at one end coincides with second overtone of pipe 'B' open at both ends. The ratio of length of pipe 'A' to that of pipe 'B' is

Two waves are represented by the equation, \(\mathrm{y}_1=\mathrm{A} \sin (\omega \mathrm{t}+\mathrm{kx}+0.57) \mathrm{m}\) and \(\mathrm{y}_2=\mathrm{A} \cos (\omega \mathrm{t}+\mathrm{kx}) \mathrm{m}\), where \(\mathrm{x}\) is in metre an...

Two waves \(\mathrm{Y}_1=0.25 \sin 316 \mathrm{t}\) and \(\mathrm{Y}_2=0.25 \sin 310 \mathrm{t}\) are propagation same direction. The number of beats produced per second are

A uniform rope of length \(12 \mathrm{~m}\) and mass \(6 \mathrm{~kg}\) hangs vertically from the rigid support. A block of mass \(2 \mathrm{~kg}\) is attached to the free end of the rope. A transverse pulse of wavelength $$0.06 \mathrm{~m}...

The frequency of a tuning fork is \(220 \mathrm{~Hz}\) and the velocity of sound in air is \(330 \mathrm{~m} / \mathrm{s}\). When the tuning fork completes 80 vibrations, the distance travelled by the

Two sound waves having wavelengths \(5.0 \mathrm{~m}\) and \(5.5 \mathrm{~m}\) propagates in a gas with velocity 300 \(\mathrm{m} / \mathrm{s}\). The number of heats produced per second is

What is the effect of pressure on the speed of sound in a medium, if pressure is doubled at constant temperature?

A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges when a mass of \(9 \mathrm{~kg}\) is suspended from the wire. When this mass is replaced by a mass \(\mathrm{M}\), the wi...

A pipe open at both ends of length 1.5 m is dipped in water such that the second overtone of vibrating air column is resonating with a tuning fork of frequency 330 Hz. If speed of sound in air is 330 m/s then the length of the pipe immersed...

A transverse wave given by \(y=2 \sin (0.01 x+30 t)\) moves on a stretched string from one end to another end in 0.5 second. If '\(x\)' and '\(y\)' are in \(\mathrm{cm}\) and '\(\mathrm{t}\)' is in second, then the length of the string is

A sound wave is travelling with a frequency of \(50 \mathrm{~Hz}\). The phase difference between the two points in the path of a wave is \(\frac{\pi}{3}\). The distance between those two points is (Velocity of sound in air $$=330 \mathrm{~m...

A sound wave of frequency \(160 \mathrm{~Hz}\) has a velocity of \(320 \mathrm{~m} / \mathrm{s}\). When it travels through air, the particles having a phase difference of \(90^{\circ}\), are separated by a distance of

A tuning fork of frequency '\(n\)' is held near the open end of tube which is closed at the other end and the lengths are adjusted until resonance occurs. The first resonance occurs at length \(L_1\) and immediate next resonance occurs at l...

A glass tube of \(1 \mathrm{~m}\) length is filled with water. The water can be drained out slowly from the bottom of the tube. If vibrating tuning fork of frequency \(500 \mathrm{~Hz}\) is brought at the upper end of the tube then total nu...

In fundamental mode, the time required for the sound wave to reach upto the closed end of pipe filled with air is \(t\) second. The frequency of vibration of air column is

A simple harmonic progressive wave is given by \(Y=Y_0 \sin 2 \pi\left(n t-\frac{x}{\lambda}\right)\). If the wave velocity is \(\left(\frac{1}{8}\right)^{\text {th }}\) the maximum particle velocity then the wavelength is

A progressive wave of frequency 50 Hz is travelling with velocity 350 m/s through a medium. The change in phase at a given time interval of 0.01 second is

A closed organ pipe of length '\(\mathrm{L}_c\)' and an open organ pipe of length '\(\mathrm{L}_{\mathrm{o}}\)' contain different gases of densities '\(\rho_1\)' and '\(\rho_2\)' respectively. The compressibility of the gases is the same in...

The equation of simple harmonic wave produced in the string under tension \(0.4 \mathrm{~N}\) is given by \(\mathrm{y=4 \sin (3 x+60 t) ~m}\). The mass per unit length of the string is

A pipe closed at one end has length \(0.8 \mathrm{~m}\). At its open end \(0.5 \mathrm{~m}\) long uniform string is vibrating in its \(2^{\text {nd }}\) harmonic and it resonates with the fundamental frequency of the pipe. If the tension in...

Equation of two simple harmonic waves are given by \({Y_1} = 2\sin 8\pi \left( {{t \over {0.2}} - {x \over 2}} \right)m\) and \({Y_2} = 4\sin 8\pi \left( {{t \over {0.16}} - {x \over {1.6}}} \right)m\) then both waves have

The frequency of a tuning fork is 'n' Hz and velocity of sound in air is 'V' m/s. When the tuning fork completes 'x' vibrations, the distance travelled by the wave is

Two wires of same material of radius 'r' and '2r' respectively are welded together end to end. The combination is then used as a sonometer wire under tension 'T'. The joint is kept midway between the two bridges. The ratio of the number of ...

A sonometer wire resonates with 4 antinodes between two bridges for a given tuning fork, when 1 kg mass is suspended from the wire. Using same fork, when mass M is suspended, the wire resonates producing 2 antinodes between the two bridges ...

The equation of wave is given by \(\mathrm{y}=10 \sin \left(\frac{2 \pi \mathrm{t}}{30}+\alpha\right)\). If the displacement is \(5 \mathrm{~cm}\) at \(\mathrm{t}=0\), then the total phase at \(\mathrm{t}=7.5 \mathrm{~s}\) will be
$$\left[\...

The frequencies of three tuning forks \(\mathrm{A}, \mathrm{B}\) and \(\mathrm{C}\) are related as \(\mathrm{n}_{\mathrm{A}}>\mathrm{n}_{\mathrm{B}}>\mathrm{n}_{\mathrm{C}}\). When the forks \(\mathrm{A}\) and \(\mathrm{B}\) are sounded tog...

Beats are produced by waves \(\mathrm{y_1=a\sin2000\pi t}\) and \(\mathrm{y_2=a\sin2008\pi t}\). The number of beats heard per second is

An air column in a pipe, which is closed at one end will be in resonance with a vibrating tuning fork of frequency 264 Hz for various lengths. Which one of the following lengths is not possible? (V = 330 m/s)

Two consecutive harmonics of an air column in a pipe closed at one end are of frequencies 150 Hz and 250 Hz. The fundamental frequency of an air column is

Which one of the following statements is true?

The fundamental frequency of a closed pipe is 400 Hz . If $\frac{1}{3}$ rd pipe is filled with water, then the frequency of 2nd harmonic of the pipe will be (neglect and correction)

A uniform metal wire has length $L$, mass $M$ and density $\rho$. It is under tension $T$ and $v$ is the speed of transverse wave along the wire. The area of cross-section of the wire is

At the poles, a stretched wire of a given length vibrates in unison with a tuning fork. At the equator, for same setting to produce resonance with same fork, the vibrating length of wire

A tuning fork $A$ produces 5 beats per second with a tuning fork of frequency 480 Hz . When a little wax is stuck to a prong of fork $A$, the number of beats heard per second becomes 2 . What is the frequency of tuning fork $A$ before the w...

When open pipe is closed from one end third overtone of closed pipe is higher in frequency by \(150 \mathrm{~Hz}\), then second overtone of open pipe. The fundamental frequency of open end pipe will be

Two waves \(Y_1=0.25 \sin 316 t\) and \(Y_2=0.25 \sin 310 t\) are propagating along the same direction. The number of beats produced per second are

The extension in a wire obeying Hooke's law is \(x\). The speed of sound in the stretched wire is \(v\). If the extension in the wire is increased to \(4 x\), then the speed of sound in a wire is

Two identical strings of length \(l\) and \(2l\) vibrate with fundamental frequencies \(\mathrm{N} \mathrm{~Hz}\) and \(1.5 N\) Hz, respectively. The ratio of tensions for smaller length to large length is

An open organ pipe and a closed organ pipe have the frequency of their first overtone identical. The ratio of length of open pipe to that of closed pipe is

An obstacle is moving towards the source with velocity \(v\). The sound is reflected from the obstacle. If \(c\) is the speed of sound and \(\lambda\) is the wavelength, then the wavelength of the reflected wave \(\lambda_r\) is

When tension \(T\) is applied to a sonometer wire of length \(I\), it vibrates with the fundamental frequency \(n\). Keeping the experimental setup same, when the tension is increased by 8 N, the fundamental frequency becomes three times th...

A sonometer wire under suitable tension having specific gravity \(\rho\), vibrates with frequency \(n\) in air. If the load is completely immersed in water the frequency of vibration of wire will become

For formation of beats, two sound notes must have

A sonometer wire is in unison with a tuning fork, when it is stretched by weight $w$ and the corresponding resonating length is $L_4$. If the weight is reduced to $\left(\frac{w}{4}\right)$, the corresponding resonating length becomes $L_2$...

The fundamental frequency of sonometer wire increases by 9 Hz , if its tension is increased by $69 \%$, keeping the length constant. The frequency of the wire is

A pipe open at both ends and a pipe closed at one end have same length. The ratio of frequencies of their $P^{\text {th }}$ overtone is

The equation of simple harmonic progressive wave is given by $Y=a \sin 2 \pi(b t-c x)$.
The maximum particle velocity will be twice the wave velocity if