Wave motionHardBloom L3
Question
Here given graph shows the motion of particle at x $= \frac{\lambda}{2}$of a progressive wave. Then the equation of the wave if wave is going in +ve x-direction and if wave is going in –ve x-direction will be respectively.$\left( Here,T = \frac{2\pi}{\omega} \right)$
Options
A.y = A cos (ωt – kx), y = A cos (ωt + kx)
B.y = A cos (ωt – kx), y = A cos (ωt + kx)
C.y = A sin (ωt – kx), y = A sin (ωt + kx)
D.y = A sin (kx – ωt), y = A sin (ωt + kx)
Solution
Sol. Equation of graph:
y = A sin ωt
In +ve x direction, equation:
y = A sin $\left\lbrack \omega t - k\left( x - \frac{\lambda}{2} \right) \right\rbrack$
= A sin (ωt – kx + π)
In –ve x direction, equation:
y = A sin $\left\lbrack \omega t + k\left( x - \frac{\lambda}{2} \right) \right\rbrack$ = A sin (ωt + kx – π)
Create a free account to view solution
View Solution FreeMore Wave motion Questions
Observer and source are stationary air is blowing from source to listener. If velocity of air increases, the intensity w...Length of a sonometer wire is either 95 cm or 100 cm. In both the cases a tuning fork produces 4 beats then the frequenc...A train is moving with 30 m/s and speed of sound in air is 340 m/s. Another train is moving in opposite direction with s...Two waves of intensities ratio are 9:1 then the ratio of their maximum and minimum intensities will be :-...A taut string at both ends vibrates in its nth overtone. The distance between adjacent Node and Antinode is found to be ...