The equations of two waves are given by :
${y}_{1} = 5\sin 2\pi\left(x - vt\right)cm$
${y}_{2} = 3\sin 2\pi\left(x - vt + 1 . 5\right)cm$
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 2π(x - vt)cm y _ 2 = 3 2π(x - vt + 1 . 5)cm These waves are simultaneously passing through a string. The amplitude of the resulting wave is :

Quantrex Academy · Accepted Answer

Correct answer: A. 2cm

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

The equations of two waves are given by : y _ 1 = 5 2π(x - vt)cm y...

Options

Correct answer

Step-by-step solution

More from Waves and Sound