194.A plane progressive wave is represented by the equation y=0.25cos(2piet-piex).The equation of a wave with double the amplitude and half the frequency but travelling in the opposite direction will be
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plane progressive wave: in positive x direction:
y = 0.25 Cos (2π t - π x)
frequency = f = ω /2π = 2π/2π = 1 Hz
Amplitude = A = 0.25 units
Required equation = 2 A Cos (2 π f/2 t + π x)
= 0.50 Cos (π t + π x) units
y = 0.25 Cos (2π t - π x)
frequency = f = ω /2π = 2π/2π = 1 Hz
Amplitude = A = 0.25 units
Required equation = 2 A Cos (2 π f/2 t + π x)
= 0.50 Cos (π t + π x) units
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