/4), where x, y
are m cm and t in sec. The positive direction of x-axis is from left to right.
(i)
Is this a travelling or a stationary wave ? If it is travelling, what are the
speed and direction of its propagation ? (ii) what are its amplitude and
frequency ? (iii) what is the initial phase at the origin ? (iv) What is the
least distance between two successive crests in the wave ?
Answer:
Compare the given equation with that of a plane progressive
wave of amplitude r, travelling with a velocity
from
right of left :
??..(i)
We
find that ((') The given equation represents a transverse harmonic wave
travelling from right to left. It is not a stationary wave.
(ii) The given eqn. can be rewritten as
?.(ii)
Equating
coeffs of t in the two eqns. (i) and (ii), we get,
Obviously, 
Also, 
Frequency, 
(iii) Initial phase, 
(iv)
Least distance between two successive crests of the wave = wavelength,
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