Home
Class 11
PHYSICS
Consider the wave y=(5mm)sin[(1cm^-1)x-(...

Consider the wave `y=(5mm)sin[(1cm^-1)x-(60s^-1)t]`. Find the amplitude, b. the wave number, c the wavelenth d. the frequencey e. the time period and f. the wave velocity.

Text Solution

Verified by Experts

Comparing the given equation with equation (15.15, we find
a amplitude `A=5mm`
b. Wave number `k=1cm^-1`
c. wavelength `lamda=(2pi)/k=2picm`
`d =frequency v=omega/(2pi)60/(2pi)Hz`
`=30/piHz`
e. time period `T=1/v=pi/30s`
`f. wave velocity u=vlamda=60cms^-1`
Promotional Banner

Similar Questions

Explore conceptually related problems

A wave travelling along a string is discribed by. y(x,t) = 0.005 sin (80.0 x - 3.0 t) . in which the numerical constants are in SI units (0.005 m, 80.0 rad m^(-1), and 3.-0 rad s^(-1)) . Calculate (a) the amplitude, (b) the wavelength, and (c ) the period and frequency of the wave. Also, calculate the displacement y of the wave at a distance x = 30.0 cm and t = 20 s ?

For a wave described by y = 0.5 sin(x - 60t) cm, find (i) amplitude (ii) wave-vector (iii) wavelength (iv) angular frequency and frequency (v) periodic time (vi) speed of wave.

The equation of a wave is y=(x,t)=0.05 sin [(pi)/(2)(10x-40t)-(pi)/(4)]m find: (a) the wavelength, the frequency and the wave velocity (b) the participle velocity and acceleration at x=0.5m and t = 0.05s .

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?

The electric field in a plane electromagnetic wave propagating along + Y axis is given by E_(y)=30 sin[2xx10^(11)t+300 pi x]hat(j)Vm^(-1) . (a) What is the wavelength and frequency of the wave ? (b) Write an expression for the magnetic field.

in the given progressive wave y = 5 sin (100 pi t -0.4 pi x) where y and x are in metre, t is in second. What is the (a) amplitude (b) wave length (c) frequency (d) wave velocity (e) particle velocity amplitude,

In a plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of 2.0 xx 10^(10) Hz and amplitude 48 V m^(–1) . (a) What is the wavelength of the wave? (b) What is the amplitude of the oscillating magnetic field? (c) Show that the average energy density of the E field equals the average energy density of the B field. [c = 3 xx 10^(8) m s^(-1).]

One end of a long string of linear mass density 8.0 xx 10^(-3) kg m^(-1) is connected to an electrically driven tuning fork of frequency 256Hz. The other end passes over a pulley and is tied to a pan containing a mass of 90kg. The pulley end absorbs all the incoming energy so that reflected waves at this end have negligible amplitude. At t=0, the left end (fork end) of the string x=0 has zero transverse displacement (y=0) and is moving along positive y-direction. The amplitude of the wave is 5.0 cm. Write down the transverse displacement y as function of x and t that describes the wave on the string.