Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the `x` - direction and displacements of elements on the string are along the `y` - direction . Individual equations of the two waves can be expressed as
`Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t]`
`Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t]` Here `x` and `y` are in `cm`.
Answer the following questions.
Amplitude of simple harmonic motion of a point on the string that is located at `x = 1.8 cm` will be

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. Maximum value of the y - positions coordinate in the simple harmonic motion of an element of the string that is located at an antinode will be

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. If one end of the string is at x = 0 , positions of the nodes can be described as

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. If one end of the string is at x = 0 , positions of the nodes can be described as

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. Figure 7.104( c) shows the standing wave pattern at t = 0 due to superposition of waves given by y_(1) and y_(2) in Figs.7.104(a) and (b) . In Fig. 7.104 (c ) , N is a node and A and antinode . At this instant say t = 0 , instantaneous velocity of points on the string named as A

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. Figure 7.104( c) shows the standing wave pattern at t = 0 due to superposition of waves given by y_(1) and y_(2) in Figs.7.104(a) and (b) . In Fig. 7.104 (c ) , N is a node and A and antinode . At this instant say t = 0 , instantaneous velocity of points on the string

Consider standing wave formed due to superposition of two plane waves having the same amplitude, frequency and moving in opposite direction. Mark the correct statements:

A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by y(x,t)=0.5 sin (5pi/4 x) cos (200 pi t) What is the speed of the travelling wave moving in the position x direction?

A standing wave is formed by the superposition of two waves travelling in the opposite directions. The transverse displacement is given by y(x, t) = 0.5 sin ((5pi)/(4) x) cos (200 pi t) What is the speed of the travelling wave moving in the postive X direction ?

A standing wave arises on a string when two waves of equal amplitude , frequency and wavelength travelling in opposite superimose. If the frequency of oscillation of the standing waves