Question 108: Waves

Question

A transverse wave is represented by $y=2 \sin (\omega t-k x)\, \mathrm{cm}$. The value of wavelength (in $\mathrm{cm}$) for which the wave velocity becomes equal to the maximum particle velocity, will be :

Accepted Answer

${\omega  \over k} = A\omega $
$ \Rightarrow k = {1 \over A} = {1 \over {2\,cm}}$
$ \Rightarrow {{2\pi } \over \lambda } = {1 \over {2\,cm}}$
$ \Rightarrow \lambda  = 4\pi \,cm$

Answer

4$\pi$

Answer

2$\pi$

Answer

$\pi$

Answer

2

Waves

A transverse wave is represented by y=2 \sin (\omega t-k x)\, \mathrm{cm}. The value of wavelength (in \mathrm{cm}) for which the wave velocity becomes equal to the maximum particle velocity, will be :

Choose the correct answer: