- A point on a string at x = 0 has an initial displacement A of 2 . If the wave travels to the right, then the corresponding equation is у A A2 X e

A point on a string at x=0 has an initial displacement of (1)/(2) . .If the wave travels to the right, then the corresponding equation is "

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. If one end of the string is at x = 0 , positions of the nodes can be described as

The equation x e^(x) = 2 has

A sinusoidal wave having wavelength of 6 m propagates along positive x direction on a string. The displacement (y) of a particle at x = 2 m varies with time (t) as shown in the graph (a) Write the equation of the wave (b) Draw y versus x graph for the wave at t = 0

A wave pulse is travelling on a string at 2 m/s. displacement y of the particle at x = 0 at any time t is given by y=2/(t^2+1) Find (i) Expression of the function y = (x, t) i.e., displacement of a particle position x and time t.

A 200 Hz sinusoidal wave is travelling in the posotive x-direction along a string with a linear mass density of 3.5 xx10^(-3) kg//m and a tension of 35 N . At time t= 0 , the point x=0 , has maximum displacement in the positive y-direction. Next when this point has zero displacement, the slope of the string is pi//20 . Which of the following expression represent (s) the displacement of string as a function of x (in metre) and t (in second)

A 100 Hz sinusoidal wave is travelling in the positive x-direction along a string with a linear mass density of 3.5xx10^(3) kg//m and a tension of 35 N. time t=0, the point x=0 has maximum displacement in the positive y-direction. Next, when this point has zero displacement the slope (iii) the expression which represents the displacement of string as a function of x (in metres) and t (in seconds).

An harmonic wave has been set up on a very long string which travels along the length of the string. The wave has a frequency of 50 Hz, amplitude 1 cm and wavelength 0.5 m. find (a) the time taken by the wave to travel a distance of 8 m along the length of string (b) the time taken by a point on the string to travel a distance of 8 m, once the wave has reached the point and sets it into motion (c ) also. consider the above case when the amplitude gets doubled