A standing wave pattern is formed on a string. One of the waves is given by y 1 = a cos ( ω t − k x + π /3 ) . Then the equation of the other wave such that at x = 0 a node is formed is:

Question

A standing wave pattern is formed on a string. One of the waves is given by y 1 ​ = a cos ( ω t − k x + π /3 ) . Then the equation of the other wave such that at x = 0 a node is formed is:

TestHub · Accepted Answer

At x = 0 : cos ( ω t + π /3 ) + cos ( ω t + ϕ ) = 0 for all t , so ϕ = π /3 + π = 4 π /3 . Hence y 2 ​ = a cos ( ω t + k x + 4 π /3 ) .

Physics - Wave on String Question with Solution | TestHub

Options:

Doubts & Discussion