A cylindrical resonance tube open at both ends, has a fundamental frequency, f, in air. If half of the length is dipped vertically in water, the fundamental frequency of the air column will be
A transverse wave is represented by the equation
For what value of λ is the maximum particle velocity equal to two times the wave velocity? [1998]
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A vehicle, with a horn of frequency n is moving with a velocity of 30 m/s in a direction perpendicular to the straight line joining the observer and the vehicle. The observer perceives the sound to have a frequency n + n1.Then (if the sound velocity in air is 300 m/s) [1998]
A standing wave having 3 nodes and 2 antinodes is formed between two atoms having a distance 1.21 Å between them. The wavelength of the standing wave is [1998]
In a sinusoidal wave, the time required for a particular point to move from maximum displacement to zero displacement is 0.170 sec.The frequency of the wave is [1998]
Two waves of lengths 50 cm and 51 cm produce 12 beats per sec. The velocity of sound is [1999]
If n1, n2 and n3 are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by [2000]
Two sound sources emitting sound each of wavelength λ are fixed at a given distance apart.
A listener moves with a velocity u along the line joining the two sources. The number of beats heard by him per second is [2000]
The equation of a wave is represented by: The velocity of the wave will be [2001]
A source and an observer move away from each other, with a velocity of 10m/s with respect to ground. If the observer finds the frequency of sound coming from the source as 1950 Hz, then original frequency of source is (velocity of sound in air = 340 m/s) [2001]
A string of 7 m length has a mass of 0.035 kg. If tension in the string is 60.5 N, then speed of a wave on the string is [2001]
The equation for a transverse wave travelling along the positive x-axis with amplitude 0.2 m, velocity v =360 ms–1 and wavelength λ = 60 m can be written as [2002]
A whistle of frequen cy 385 Hz rotates in a horizontal circle of radius 50 cm at an angular speed of 20 radians s–1. The lowest frequency heard by a listener a long distance away at rest with respect to the centre of the circle, given velocity of sound equal to 340 ms–1, is [2002]
An observer moves towards a stationary source of sound with a speed 1/5th of the speed of sound. The wavelength and frequency of the sound emitted are λ and f respectively. The apparent frequency and wavelength recorded by the observer are respectively. [2003]
A car is moving towards a high cliff. The car driver sounds a horn of frequency f. The reflected sound heard by the driver has frequency 2f. If v be the velocity of sound, then the velocity of the car, in the same velocity units, will be[2004]
The phase difference between two waves, represented by [2004]
y1 = 10–6 sin{100 t + (x/50) + 0.5} m
y2 = 10–6 cos{100 t + (x/50)} m
where x is expressed in metres and t is expressed in seconds, is approximately [2004]
Two vibrating tuning for ks produce progressive waves given by y1 = 4 sin 500 πt and y2 = 2 sin 506 πt. Number of beats produced per minute is [2 00 5]
A point source emits sound equally in all directions in a non–absorbing medium. Two points P and Q are at distances of 2m and 3m respectively from the source. The ratio of the intensities of the waves at P and Q is [2005]
Which one of the following statements is true ? [2006]
A transverse wave propagating along x-axis is represented by where x is in metres and t is in seconds. The speed of the wave is [2006]
The time of reverberation of a room A is one second. What will be the time (in seconds) of reverberation of a room, having all the dimensions double of those of room A ?[2006]
Two sound waves with wavelengths 5.0 m and 5.5m respectively, each propagate in a gas with velocity 330 m/s. We expect the following number of beats per second [2006]
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? [2008]
The wave described by y = 0.25 sin (10πx – 2πt), where x and y are in meters and t in seconds, is a wave travelling along the: [2008]
Each of the two strings of length 51.6 cm and 49.1 cm are tensioned separately by 20 N force.Mass per unit length of both the strings is same and equal to 1 g/m. When both the strings vibrate simultaneously the number of beats is[2009]
The driver of a car travelling with speed 30 m/sec towards a hill sounds a horn of frequency 600 Hz. If the velocity of sound in air is 330 m/s, the frequency of reflected sound as heard by driver is [2009]
A wave in a string has an amplitude of 2 cm. The wave travels in the + ve direction of x axis with a speed of 128 m/sec and it is noted that 5 complete waves fit in 4 m length of the string.The equation describing the wave is [2009]
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? [2010]
A tuning fork of freqqency 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 [2010]