Wave motionMedium
Question
A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of 10 cm/s. The wavelength of the wave is 0.5 m and its amplitude is 10 cm. At a particular time t, the snap -shot of the wave is shown in figure. The velocity of point P when its displacement is 5 cm is
Figure:

Figure:

Options
A.

B.

C.

D.

Solution
y = 5 cm and V = + ve
y = 5 cm and V = +vey = A sin (ωt ± φ) V = Aω cos (ωt ± φ)
We get ωt ± φ = 30o
ω = 2π
v = Aω cos (ωt ± φ) =
m/s
y = 5 cm and V = +vey = A sin (ωt ± φ) V = Aω cos (ωt ± φ)
We get ωt ± φ = 30o
ω = 2π

v = Aω cos (ωt ± φ) =
m/sCreate a free account to view solution
View Solution FreeMore Wave motion Questions
The displacement equation of a progressive wave along Y - axis is : Y = 5 sin (60t + 2x), here x, y are in metre and t i...If y1 = 5 (mm) sinπt is equation of oscillation of source S1 and y2 = 5 (mm) sin(πt + π/6) be that of S2 ...A string in a musical instrument is 50 cm long and its fundamentlal frequency is 800 Hz. If a frequency of 1000Hz is to ...A narrow steel rod of length ‘L’ is rigidly clamped at its mid-point and transverse standing waves of frequency ‘f’ are ...A standing wave having 3 nodes and 2 antinodes is formed between 1.21 A distance then the wavelength is : -...