Question 146: 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: