AIPMT Prelims Physics Waves Class 11 Questions

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:

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 s. The phase difference between them is

Sound waves travel at 350 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

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

dB is a standard abbreviation used for the quantitative expression of

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:

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:

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:

Two periodic waves of intensities I₁ and I₂ pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is -

The wave described by y = 0.25 sin (10 πx − 2πt), where x and y are in metres and t in seconds, is a wave travelling along the -

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/s. What is the phase difference between the oscillations of two points ?

Ultrasound of how much frequency is beamed into human body for sonography?

Two sound waves with wavelengths 5.0 m and 5.5 m respectively, each propagate in a gas with velocity 330 m/s. We expect the following number of beats per second:

A transverse wave propagating along x-axis is represented by: y(x, t) = 8.0 sin (0.5πx - 4πt - (π/4)) where x is in metres and t is in seconds. The speed of the wave is:

Which one of the following statements is true?

A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distance of 2m and 3m respectively from the source. The ratio of the intensities of the waves at P and Q is:

Two vibrating tuning forks produce progressive waves given by y₁ = 4 sin 500 πt and y₂ = 2 sin 506 πt. Number of beats produced per minute is:

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 a frequency 2f. If 'v' be the velocity of sound then the velocity of the car, in the same velocity units, will be -

The phase difference between two waves, represented by y₁ = 10⁻⁶ sin {100t + (x/50) + 0.5} m y₂ = 10⁻⁶ cos {100t + (x/50)} m Where X is expressed in metres and t is expressed in seconds, is approximately :-

An observer moves towards a stationary source of sound with a speed 1/$5^{th}$ of the speed of sound. The wavelength and frequency of the source emitted are λ and f respectively. The apparent frequency and wavelength recorded by the observer are respectively :

A wave travelling in positive X⁻direction with A = 0.2 m velocity = 360 m/s and λ = 60 m, then correct expression for the wave is :-

A whistle revolves in a circle with angular speed ω = 20 rad/sec using a string of length 50 cm. If the frequency of sound from the whistle is 385 Hz, then what is the minimum frequency heard by an observer which is far away from the centre :- (V_sound = 340 m/s)

If the tension and diameter of a sonometer wire of fundamental frequency n is doubled and density is halved then its fundamental frequency will become

Two waves having equation x₁ = a sin(ωt + ϕ₁) x₂ = a sin(ωt + ϕ₂) If in the resultant wave the frequency and amplitude remains equals to amplitude of superimposing waves. Then phase diff. between them : -

The equation of a wave is represented by :- y = 10⁻⁴ sin (100t − x/10) m, then the velocity of wave will be :-

Two stationary sources each emitting waves of wave length λ. An observer moves from one source to other with velocity u. Then number of beats heared by him :

A string is cut into three parts, having fundamental frequencies n₁, n₂ and n₃ respectively. Then original fundamental frequency 'n' related by the expression as :

The equations of two waves given as x = a cos(ωt + δ) and y = a cos (ωt + α), Where δ = α + π/2, then resultant wave represent :