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Wave Length

28.The equati...

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28.The equation of the wave is a) Wavelength frequency and wave velocity b)The particle velocity and acceleration at x=.5m and t=.05s

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Q. The equation of a wave is,

\frac{π}{2} (10 x - 40 t) - \frac{π}{4}

. Find :
(a) The wavelength, the frequency and the wave velocity
(b) The particle velocity and acceleration at

x = 0.5 m

t = 0.05 s

Q. The equation of a wave is, y(x,t) = 0.05

s i n [\frac{π}{2} (10 x - 40 t) - \frac{π}{4}] m

. Find:
(a) The wavelength, the frequency and the wave velocity
(b) The particle velocity and acceleration at x = 0.5 m and t = 0.05 s.

Q. The equation of a progressive wave is

y = 0.05 sin (200 t - \frac{x}{2})

x, y

are in metres and

t

in seconds, then

a ) velocity of wave is

100 m s^{- 1}

b) maximum velocity of particle in the wave is

10 m s^{- 1}

c) wavelength of wave is

4 π m

Q. Fill in the blank
A travelling wave has frequency

v

and the particle displacement amplitude

A

. For the wave the particle velocity amplitude is . and the particle acceleration amplitude is ..................

Q. Travelling wave has frequency

f

and particle displacement amplitude

A

. The particle velocity amplitude and particle acceleration amplitude are respectively

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