Wave motionEasy
Question
A wave represented by y = 2 cos (4x - πt) is superposed with another wave to form a stationary wave such that point x = 0 is a node. Then the equation of other wave is :-
Options
A.y = 2 sin (4x + πt)
B.y = - 2 cos (4x - πt)
C.y = - 2 cos (4x + πt)
D.y = - 2 sin (4x - πt)
Solution
For stationary waves, two waves must go in opposite direction,
y = y1 + y2
= 2 cos (4x - πt) - 2 cos (4x + πt)
= 2.2 sin 4x sin πt
At x = 0 node is formed i.e. y = 0
y = y1 + y2
= 2 cos (4x - πt) - 2 cos (4x + πt)
= 2.2 sin 4x sin πt
At x = 0 node is formed i.e. y = 0
Create a free account to view solution
View Solution FreeMore Wave motion Questions
Two wave are represented by equation y1 = a sin ωt and y2 = a cos ωt the first wave : -...A plane wave y = a sin (bx + ct) is incident on a surface. Equation of the reflected wave is y′ = a′sin(ct -...Two graphs of the same harmonic wave are shown below. The graph (1) on the left shows the displacement of wave y, as a f...One end of a long and thin rope, stretched horizontally with a tension T = 8 N, along x axis, is supporting a weight aft...Two waves of intensities ratio are 9:1 then the ratio of their maximum and minimum intensities will be :-...