Home
Class 11
PHYSICS
A wave is represented by 0.5 sin (40 t-2...

A wave is represented by `0.5 sin (40 t-2.0 x)` where x and y have units in metre and t is in second. Find (a) amplitude (b) wavelength (c) frequency.

Text Solution

Verified by Experts

We are given
`y = 0.5 sin (40t -2.0x)`………(i)
Using relation: `y = A sin((2pi)/T t -(2pi)/lambdax)`…………(ii)
Comparing equatio (i) and (ii)
(a) Amplitude, A = 0.5 m
b) Wavelength `(2pi)/lambda = 2.0 rArr lambda = (2pi)/2 =pi=3.14` m
c) Frequency `(2pi)/T = 40 rArr 1/T =40/(pi) =20/pi rArr u =6.36 Hz`
Promotional Banner

Similar Questions

Explore conceptually related problems

The equation of a simple harmonic wave is given by y=3 sin pi/2 (50 t-x) where x and y are in mtres and t is in seconds.The ratio of maximum particle velocity to the wave velocity is :

When a wave travels in a medium,the particle displacements are given by : y(x,t)=0.03 sin pi(2t-0.01x) where y and x are in m, etres and t in seconds.the wavelength of the wave is :

In the given progressive wave y=5sin (100pit-0.4 pix) where y and x are in m, t in s. What is the amplitude

If x = a + bt + ct^2 , where x is in metre and t in second, then wat ist he unit of c?

In the given progressive wave y=5sin (100pit-0.4 pix) where y and x are in m, t in s. What is the particle velocity amplitude?

The displacement of a progressive wave is represented by y = A sin (omegat - kx) , where x is distance and t is time. Write the dimensional formula of omega

The displacement of a progressive wave is represented by y = A sin (omegat - kx) , where x is distance and t is time. Write the dimensional formula of k

If x = a + bt + ct^2 , where x is in metre and t in second, what are the units of a, and b?