Question

A longitudinal wave is represented by $x=10 \,sin⁡\,2π (nt−\frac{x}{λ})cm$. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to

• A. 2π
• B. 5π
• C. π
• D. $\frac{5π}{π}$

Answer 1

Answer: (B)

5π

Answer 2

The correct option is(B): 5π

Particle velocity

$⇒\frac{ax}{at}$

⇒ Maximum particle velocity = (2π n) (10)

⇒ (2π n) (10) = (n λ) (4)

⇒ λ = 5π