Questions
The displacement due to a wave moving in the positive x-direction is given by at time t = 0 and by at t = 2 seconds, where x and y are in metres. The velocity of the wave in m/s is
detailed solution
Correct option is A
In a wave equation, x and t must be related in the form (x−v t).We rewrite the given equations y=11+(x−v t)2For t = 0, this becomes y=1(1+x2), as givenFor t = 2, this becomes y=1[1+(x−2v)2]=1[1+(x−1)2]⇒2v=1 or v=0.5m/s.Talk to our academic expert!
Similar Questions
A particle on a stretched string supporting a travelling wave, takes 5.0 ms to move from its mean position to the extreme position. The distance between two consecutive particles, which are at their mean positions, is 3.0 cm. Find the wave speed (in m/s).
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