Question

The standing eaves in a medium is expressed as y=sin 0.8x cos 3000t m. The distance between any two consecutive points of minimum or maximum displacement is?

Answer 1

hlo mate ✌️

y=(2Acosωt)

y=0.2sin\left( 0.8x \right) cos\left( 300t \right)

y=0.2sin(0.8x)cos(300t)

\omega =300=2\pi f

ω=300=2πf

f=\frac { 300 }{ 2\pi } =\frac { 150 }{ \pi }

f= 2π

300 = π 150

k=0.8

k=0.8

\lambda =\frac { 2\pi }{ k }

=frac { 2\pi }{ 0.8 } =\frac { 5\pi }{ 2 } m

λ= k2π

= 0.82π

= 25π m