The equations of two waves are given by :
$y_{1} = 5 \sin 2 π (x - v t) cm$
$y_{2} = 3 \sin 2 π (x - v t + 1.5) cm$
These waves are simultaneously passing through a string. The amplitude of the resulting wave is :

Question

The equations of two waves are given by :

$y_{1} = 5 \sin 2 π (x - v t) cm$

$y_{2} = 3 \sin 2 π (x - v t + 1.5) cm$

These waves are simultaneously passing through a string. The amplitude of the resulting wave is :

TestHub · Accepted Answer

Given equations can be written as, y 1 = 5 sin 2 π x - 2 π v t cm and y 2 = 3 sin 2 π x - 2 π v t + 3 π cm From the given equations we can conclude that the phase difference between the waves is 3 π i.e. odd multiple of π . Therefore, destructive interference will happen. A = A 1 - A 2 = 2 cm

Physics - Sound Wave Question with Solution | TestHub

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