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 sin (ωt – kx + π), y = A sin (kx + ωt –π)
B.y = A cos (ωt – kx + π), y = A cos (ωt + kx + π)
C.y = A sin (kx – ωt + π), y = A sin (kx + ωt – π)
D.y = A sin (kx – ωt – π), y = A sin (kx + ωt – π)
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
A string is rigided by two ends and its equation is given by y = cos2π t sin 2π x Then minimum length of strin...The displacement y of a particle in a medium can be expressed as y = 10-6 sin(100t + 20x + π/4)m, where t is in sec...Two wave are represented by equation y1 = a sin ωty2 = a cos ωtthe first wave -...y (x, t) = 0.8/[(4x + 5t)2 + 5] represents a moving pulse, where x & y are in meter and t in second. Then:...A tuning fork vibrating with a sonometer having 20 cm wire produces five beats per sec. The beat frequency does not chan...