Home
Class 12
PHYSICS
The pressure variation in a sound wave i...

The pressure variation in a sound wave is given by `DeltaP=8cos(4.00x-3000t+(pi)/(4))`
Find its displacement amplitude. The density of the medium is `10^(3)" kg "m^(-3)`.

Text Solution

AI Generated Solution

To find the displacement amplitude from the given pressure variation of a sound wave, we can follow these steps: ### Step 1: Identify the given parameters The pressure variation in the sound wave is given by: \[ \Delta P = 8 \cos(4.00x - 3000t + \frac{\pi}{4}) \] From this equation, we can identify: ...
Promotional Banner

Topper's Solved these Questions

  • WAVES

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|65 Videos
  • WAVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-A)|55 Videos
  • WAVE OPTICS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-J (Aakash Challengers question))|1 Videos
  • WORK, ENERGY AND POWER

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - D)|13 Videos

Similar Questions

Explore conceptually related problems

The pressure variation in a sound wave in air is given by Deltap = 12 sin (8.18X - 2700 t + pi//4) N//m^(2) find the displacement amplitude. Density of air = 1.29 kg//m^(3) .

The order of magnitude of the density of nuclear matter is 10^(4) kg m^(-3)

A point sound source is situated in a medium of bulk modulus 1.6times10^(5)N/m^(2) . The equation for the wave emitted from it is given by (y=a sin(7.5 pi x-3000 pi t)) . Then velocity wave is v and the displacement amplitude of the waves received by the observer standing at a distance 5m from the source is A.The density of medium is rho .The maximum pressure amplitude tolerable to the observer's ear is 30Pa then 1) qquad rho=1.5kg/m^(3) 2) v=400m/s 3)A=10^(-4) /4π m 4) qquad rho=2.5kg/m^(3)

The equation of a travelling plane sound wave has the form y=60 cos (1800t-5.3x) , where y is in micrometres, t in seconds and x in metres. Find (a). The ratio of the displacement amplitude with which the particle of the medium oscillate to the wavelength, (b).the velocity oscillation ammplitude of particles of the medium and its ratio to the wave propagation velocity , (c ).the oscillation amplitude of relative deformation of the medium and its relation to the velocity oscillation amplitude of particles of the medium, (d). the particle acceleration amplitude.

The equation of a travelling sound wave is y = 6.0 sin (600 t - 1.8 x) where y is measured in 10^-5m , t in second and x in metre. (a) Find the ratio of the displacement amplitude of the particles to the wavelength of the wave. (b) Find the ratio of the velocity amplitude of the particles to the wave speed.

The equation of a longitudinal standing wave due to superposition of the progressive waves producted by two sources of sound is s = -20 sin 10 pix sin 100 pit where s is the displacement from mean position measured in mm, x is in meters and is in seconds. The specific gravity of the medium is 10^(-3) . Density of water = 10^(3)kg//m^(3) . Find : (a) Wavelength, frequency and velocity of the progressive waves. (b) Bulk modulus of the medium and the pressure amplitude. (c) Minimum distance between pressure antinode and a displacement anotinode. (d) Intensity at the displacement nodes.

y(x, t) equation of a lingitudinal wave is given as y = 10^(-2)2(pi)[1000t+(50)/(17)x] (All Si units If density of the gas is 10^(-3)kg//m^(3) , find the pressure amplitube

The pressure amplitude is 0.4 N//m^2 for a plane harmonic sound wave of frequency 680Hz in air. What are its displacement and velocity amplitudes? Atmospheric pressure =1.01 xx 10^(5) N//m^2

The pressure at a point in water is 10 N//m^(2) . The depth below this point where the pressure becomes double is (Given density of water = 10^(3) kg m^(-3) , g = 10 m s^(-2) )

For a plane harmonic sound wave of frequency 1000 Hz in air, the pressure amplitude is "1 N/m"^2? What is the displacement amplitude ? Atmospheric pressure is 1.01 xx 10^(5)" N/m"^2, gamma = 1.4. Velocity of sound in air is 340 ms^(-1)?.