For stationary wave, Y = 10 sin (300πt) sin  ;value of distance between consecutive nodes is :-[t is in sec. and x in meter] 8 m16 m  4 m2 m

A stationary wave is represented by the following expression:𝑦 = 5⁡cos𝜋𝑥⁡sin𝜋𝑡where y and x in centimeters and t in seconds. Determine:(a) the three smallest value of x (x >0) that corresponds toi. nodes

(b) Sketch the graph of displacement against distance graph for progressive wave above ina range of 0 ≤ 𝑥 ≤ 𝜆 at time, t = 0 s.

A wave travelling along the x-axis is described by the equation y(x,t) = 0.005cos (αx – βt). If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then α and β in appropriate units are :α = 25.00 π ; β = πα = , β = α =  ; β =     α = 12.50 π ; β =

A wave is represented by :y (x, t) = (5 cm) sin 1(20 s ) t− 1(15 cm ) x− + Determine the velocity of the wave.

The displacement of a wave is given by y = 0.001 sin (100t + x) where x and y are in metre and t is insecond. This represents a wave(a) of wavelength one metre.(b) travelling with a velocity of 100 m/s in the negative x-direction.(c) of frequency (100/π) Hz.(d) travelling with a velocity of 50 π m/s in the positive x-direction