wiz-icon
MyQuestionIcon
MyQuestionIcon
10
You visited us 10 times! Enjoying our articles? Unlock Full Access!
Question

A wave pulse is travelling on a string with a speed v towards the positive X-axis. The shape of the string at t = 0 is given by g(x) =A sin(xa) where A and a are constants. Write the equation of the wave for a general time t, if the wave speed is v.


A

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C


Given shape of the wave at t=0

g(x)=A sin(xa)

let's say the wave looks like

It's wave speed is v. After time t, the wave would have moved vt.

Now if at t = 0

The equation is g(x) = A sin(xa)

This wave was at x = x, t= t will be same as the wave at x= x-vt at t = 0

So at t = 0 g(x) = A sin xvta

Alternate Solution:- Given g(x) = A sin (xa)

General equation A sin (kx - ωt)


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Building a Wave
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon