"The equations of two waves are given by : y1 = 5 sin 2$\pi$(x - vt) cm y2 = 3 sin 2$\pi$(x $-$ vt + 1.5) cm These waves are simultaneously passing through a string. The amplitude of the resulting wave is :"

Question

Accepted Answer

"

${y_1} = 5\sin (2\pi x - 2\pi vt)$

${y_2} = 3\sin (2\pi x - 2\pi vt + 3\pi )$

$\Rightarrow$ Phase difference = 3$\pi$

$\Rightarrow {A_{net}} = \sqrt {A_1^2 + A_2^2 + 2{A_1}{A_2}\cos (3\pi )}$

$\Rightarrow {A_{net}} = 2$ cm

"

The equations of two waves are given by :

y₁ = 5 sin 2$\pi$(x - vt) cm

y₂ = 3 sin 2$\pi$(x $-$ vt + 1.5) cm

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

Solution

About this question

Drill 25 more like these. Every day. Free.

The equations of two waves are given by : y1 = 5 sin 2$\pi$(x - vt) cm y2 = 3 sin 2$\pi$(x $-$ vt + 1.5) cm These waves are simultaneously passing through a string. The amplitude of the resulting wave is :

Solution

About this question

More Waves questions

Drill 25 more like these. Every day. Free.

The equations of two waves are given by :

y₁ = 5 sin 2$\pi$(x - vt) cm

y₂ = 3 sin 2$\pi$(x $-$ vt + 1.5) cm

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