Home
Class 11
PHYSICS
Find the following for given wave equati...

Find the following for given wave equation.
`P = 0.02 sin [(3000 t - 9 x]` (alll quantities are in `S.I.` units.)
(a) Frequency , (b) Wavelength , (c) Speed of sound wave
(d) If the equilibrium pressure of air is in `10^(5)` Pa then find maximum and minimum pressure.

Text Solution

AI Generated Solution

To solve the given wave equation \( P = 0.02 \sin(3000t - 9x) \), we will follow these steps: ### Step 1: Identify the angular frequency (\( \omega \)) From the wave equation, we can see that: \[ \omega = 3000 \, \text{rad/s} \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOUND WAVES

    RESONANCE ENGLISH|Exercise Board Level Exercise|33 Videos
  • SOUND WAVES

    RESONANCE ENGLISH|Exercise Exercise- 1 PART - I|34 Videos
  • SOUND WAVES

    RESONANCE ENGLISH|Exercise Exercise- 3 PART - I|47 Videos
  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Exercise|28 Videos
  • STRING WAVES

    RESONANCE ENGLISH|Exercise Exercise|32 Videos

Similar Questions

Explore conceptually related problems

The equation of a sound wave in air is given by trianglep=(0.02)sin[(3000)t-(9.0)x] , where all variables are is SI units. (a) find the frequency, wavelength and the speed of sound wave in air. (b) If the equilibrium pressure of air is 1.01xx10^5(N)/(m^2) , What are the maximum and minimum pressure at a point as the wave passes through that point?

In the given progressive wave y=5sin (100pit-0.4pix) where y and x are in m, t in s, what is the (a) amplitude (b) wavelength (c) frequency (d) wave velocity (e) particle velocity amplitude.

If two sound waves, y_1 = 0.3 sin 596 pi [t - x//330] and y_2 =0.5 sin 604 pi[t - x//330] are superposed, what will be the (a) frequency of resultant wave (b) frequency at which the amplitude of resultant waves varies (c ) frequency at which beats aer produced. Find also the ratio of maximum and minimum intensities of beats.

Following is given the equation of a travelling wave (all is SI unit) y = (0.02) sin 2pi (10t - 5x) Match of following.

A wave is given by the equation y = 10 sin 2 pi (100 t - 0.02 x) + 10 sin 2 pi (100 t + 0.02 x) Find the loop length , frequency , velocity and maximum amplitude of the stationary wave produced.

A wave is given by the equation y = 10 sin 2 pi (100 t - 0.02 x) + 10 sin 2 pi (100 t + 0.02 x) Find the loop length , frequency , velocity and maximum amplitude of the stationary wave produced.

The Magnetic field in plane electromagnetic wave is given by B_(y)=4xx10^(-6)sin (0.2xx10^(4)x+0.6xx10^(12)t) T, then find (a)n Frequency (b) Wavelength (c) Speed of the wave (d) Expression for electric field part of electromagnetic wave

The equation of a wave travelling on a string is y = (0.10 mm) sin [(31.4 m^(-1)) x + (314 s^(-1))t] (a) In which direction does the travel? (b) Find the wave speed, the wavelength and the frequency of the wave. ( c ) What is the maximum displacement and the maximum speed of a portion of the string?

The displacement of a particle of a string carrying a travelling wave is given by y = (3.0cm) sin 6.28 (0.50x - 50t), where x is in centimetre and t in second Find (a) the amplitude, (b) the wavelength, (c ) the frequency and (d) the speed of the wave.

The displacement of the medium in a sound wave is given by the equation y_(1) = A cos(ax + bt) where A , a and b are positive constants. The wave is reflected by an obstacle situated at x = 0 . The intensity of the reflected wave is 0.64 times that of the incident wave. (a) What are the wavelength and frequency of incident wave? (b) Write the equation for the reflected wave. ( c ) In the resultant wave formed after reflection, find the maximum and minimum values of the particle speeds in the medium. (d) Express the resultant wave as a superposition of a standing wave and a travelling wave. What are the positions of the antinodes of the standing wave ? What is the direction of propagation of travelling wave?