Certain wave travels with a velocery of V=AN/ Where A IS a constant Ca

1.	Certain wave travels with a velocery of V=AN/ Where A IS a constant Calculate Its Group velocity
Answer» Answer: What's your doubt? Physics Bookmark A wave travelling along a string is described by, y(x,t)=0.005sin(80.0x−3.0t), in which the numerical constants are in SI UNITS (0.005 m, 80.0 rad m −1 and 3.0 rad s −1 ). Calculate : (a) the amplitude (b) the wavelength (C) the PERIOD and frequency of the wave. Also, calculate the displacement y of the wave at a distance x = 30.0 CM and TIME t = 20 s? share Share Answer We know that general equation of wave y(x,t)=Asin(kx−ωt) comparing this equation with given equation 1) A=0.005m → amplitude k=80 ω=3 2) λ= k 2π = 80 2π =( 40 π )m 3) Time period T= ω 2π = 3 2π sec frequency f= T 1 = 2π 3 Hz 4) Displacement at x=0.3m t=20 sec y=0.005sin(80×0.3−3×20) =0.005sin(24−60)=0.005sin(−36) =0.00495m y=4.9mm.

Certain wave travels with a velocery of V=AN/ Where A IS a constant Calculate Its Group velocity

Answer»

Answer:

What's your doubt?

Physics

Bookmark

A wave travelling along a string is described by,

y(x,t)=0.005sin(80.0x−3.0t), in which the numerical constants are in SI UNITS (0.005 m, 80.0 rad m

−1

and 3.0 rad s

−1

). Calculate :

(a) the amplitude

(b) the wavelength

Also, calculate the displacement y of the wave at a distance x = 30.0 CM and TIME t = 20 s?

Answer

We know that

general equation of wave

y(x,t)=Asin(kx−ωt)

comparing this equation with given equation

1) A=0.005m → amplitude

k=80

ω=3

2) λ=

2π

3) Time period T=

2π

sec

frequency f=

2π

4) Displacement at x=0.3m

t=20 sec

y=0.005sin(80×0.3−3×20)

=0.005sin(24−60)=0.005sin(−36)

=0.00495m

y=4.9mm.

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