Waves

The wave described by y = 0.25 sin (10 2πx – 2πt), where x and y are in meters and t in second is a wave travelling along the:

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

A transverse wave is represented by y = a sin (ωt – kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

A tuning fork of frequency 512 Hz makes 4 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per sec when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

Two waves are represented by the equations y₁ = a sin (ωt + kx + 0.57) m and y₂ = a cos (ωt + kx) m, where x is in meter and t in sec. The phase difference between them is

Sound waves travel at 3500 m/s through a warm air and at 3500 m/s through brass. The wavelength of a 700 Hz acoustic wave as it enters brass from warm air

When a string is divided into three segments of length l₁, l₂ and l₃ the fundamental frequencies of these three segments are v₁, v₂ and v₃ respectively. The original fundamental frequency (v) of the string is

Two sources of sound placed close to each other are emitting progressive waves given by y₁ = 4 sin 600 πt and y₂ = 5 sin 608 πt. An observer located near these two sources of sound will hear:

A train moving at a speed of 220 ms⁻¹ towards a stationary object, emits a sound of frequency 1000 Hz. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is: (speed of sound in air is 330 ms⁻¹)

If we study the vibration of a pipe open at both ends, then which of the following statements is not true?

A source of unknown frequency gives 4 beats/s, when sounded with a source harmonic of the source of unknown frequency gives 5 beats/s, when sounded with a source of frequency 513 Hz. The unknown frequency is

A wave travelling in the +ve x-direction having displacement along y-direction as 1m, wavelength 2π and frequency 1 /π Hz is represented by

Two sources P and Q produce notes of frequency 660 Hz each. A listener moves from P to Q with a speed of 1 ms⁻¹. If the speed of sound is 330 m/s, then the number of beats heard by the listener per second will be

Which of the following is not a transverse wave?

When we hear a sound, we can identify its source from

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 tension in a piano wire is 10 N. What should be the tension in the wire to produce a note of double the frequency?

Length of a string tied to two rigid supports is 40 cm. Maximum length (wavelength in cm) of a stationary wave produced in it is

A string in musical instrument is 50 cm long and its fundamental frequency is 800 Hz. If a frequency of 1000 Hz is to be produced, then required length of string is

What should be the velocity(v) of a sound source moving towards a stationary observer so that apparent frequency is double the actual frequency

A car sounding a horn of frequency 100 Hz passes an observer. The ratio of frequencies of the horn noted by the observer, before and after passing of car is 11:9. if the speed of sound is v, the speed of the car is

Two closed organ pipes when sounded simultaneously give 4 beats/second. If longer pipe has a length of 1m, then length of shorter pipe will be (v=300 m/s)

A source is moving towards an observer with a speed of 20 m/s and having frequency of 240 Hz. The observer is now going towards the source with a speed of 20 m/s. Apparent frequency heard by an observer (velocity of sound is 340 m/s) will be

A source and an observer approach each other with same velocity 50 m/s. If the frequency is 435 s⁻¹, then the real frequency is (Velocity of sound=332 m/s)

A tuning fork vibrates with 2 beats in 0.04 second. The frequency of the fork is

If v is the speed of sound in air, then the shortest length of the closed pipe which resonates to a frequency n

If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz, first resonance was observed at 30.7 cm and second was obtained at 63.2 cm. Then maximum possible error in velocity of sound is

A tuning fork A produces 4 beats per second with another tuning fork B of frequency 320 Hz. On filing one of the prongs of A, 4 beats per second are again heard when sounded with the same fork B. Then the frequency of the fork A before filing is

The loudness and pitch of a sound note depends on

The second overtone of an open pipe is in resonance with the first overtone of a closed pipe of length 2 m. Length of the open pipe is

A source of sound and a detector are moving along the same line with same speed

A tuning fork frequency 512 Hz is vibrated with a sonometer wire and 6 beats per second are heard. The beat frequency reduces if the tension in the string is slightly increased. The original frequency of vibration of the string is

A tuning fork of frequency x produces 4 beats with a source of 256 Hz and 8 beats with another source of 268 Hz. Then x equals to

If sound wave travel from air to water, which of the following remains unchanged?

An observer moving away from a stationary source. The observed frequency is half of the emitted frequencies. The velocity of observer is (c=speed of sound in air)

Frequency of stretched string will increase by

A stone thrown into still water, creates a circular wave pattern moving radially outwards. If r is the distance measured from the centre of the pattern, the amplitude of the wave varies as

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

The maximum particle velocity in a wave motion is half the wave velocity. Then the amplitude of the wave is equal to

When the wavelength of sound changes from 1 m to 1.01 m, the number of beats heard are 4. The velocity of sound is

The maximum and minimum intensities of two sources is 4:1. The ratio of amplitude is

The phase difference between two points separated by 0.8 m in a wave of frequency 120 Hz is 0.5 π. The wave velocity is

Two points are located at a distance of 10 m and 15 m from the source of oscillation. The period of oscillation is 0.05 sec and the velocity of the wave is 300 m/sec. What is the phase difference between the oscillations of two points?

A car moving with a velocity of 36 km/hr crosses a siren of frequency 500 Hz. The apparent frequency of siren after passing it will be

When a sound wave of wavelength λ is propagating in a medium, the maximum velocity of the particle is equal to the wave velocity. The amplitude of wave is

Two tuning forks are sounded together and produce 2 beats per second. The frequency of one of them is 288 Hz. The other is loaded with some wax and now they produce four beats per sec. The frequency of the other tuning fork is