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Physics-

General

Easy

Question

If the speed of the wave shown in the figure is $330 m divided by s$ in the given medium, then the equation of the wave propagating in the positive $x$ -direction will be (all quantities are in M.K.S. units)

$y = 0.05 \sin 2 π (4000 t - 12.5 x)$
$y = 0.05 \sin 2 π (4000 t - 122.5 x)$
$y = 0.05 \sin 2 π (3300 t - 10 x)$
$y = 0.05 \sin 2 π (3300 x - 10 t)$

The correct answer is: $y equals 0.05 sin invisible function application 2 pi left parenthesis 3300 blank t minus 10 blank x right parenthesis$

Here $A equals 0.05 m comma fraction numerator 5 lambda over denominator 2 end fraction equals 0.25 rightwards double arrow lambda equals 0.1 m$
Now standard equation of wave
$y equals A sin invisible function application fraction numerator 2 pi over denominator lambda end fraction open parentheses v t minus x close parentheses$
$rightwards double arrow y equals 0.05 sin invisible function application 2 pi left parenthesis 3300 t minus 10 x right parenthesis$

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