Question 148: Waves

Question

A longitudinal wave is represented by $$x = 10\sin 2\pi \left( {nt - {x \over \lambda }} \right)$$ cm. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to :

Accepted Answer

Particle velocity = $${{\partial x} \over {\partial t}}$$
$$\Rightarrow$$ Maximum particle velocity $$ = (2\pi n)\,(10)$$
$$ \Rightarrow (2\pi n)\,(10) = (n\lambda )\,(4)$$
$$ \Rightarrow \lambda  = 5\pi $$

Answer

2$$\pi$$

Answer

5$$\pi$$

Answer

$$\pi$$

Answer

$${{5\pi } \over 2}$$

Waves

A longitudinal wave is represented by $x = 10\sin 2\pi \left( {nt - {x \over \lambda }} \right)$ cm. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to :

Choose the correct answer: