Question

12.) A standing wave is formed due to superposition of two travelling waves, each of amplitude A. Find
the amplitude at a point distant (lambda/3) from antinode where (lambda) is the loop length
(1)√3 A / 2
(2) √3A
(3) A
(4) √3A/4​

Answer 1

Answer:

2

Equation of standing wave will be at t = 0 ,

$y = 2A \sin( \frac{2\pi}{ \lambda} \: x)$

Put x = lambda/3

$y = 2A \sin( \frac{2\pi}{ \lambda }{\times \frac{ \lambda}{3} } ) \\ \\ y = 2A \sin( \frac{2\pi}{3} ) = 2A \times \frac{ \sqrt{3} }{2} = \sqrt{3} A$