Question

A sound wave has a frequency of 500 Hz and a velocity of 350 m/s. The distance between the two particles having a phase difference of 60° is near ______

Options

• 7 cm

• 12 cm

• 70 cm

• 120 cm

Answer 1

A sound wave has a frequency of 500 Hz and a velocity of 350 m/s. The distance between the two particles having a phase difference of 60° is near 12 cm.

Explanation:

λ = `"v"/"n" = 350/500 = 7/10, phi = 60^circ = pi^c/3`

Let; `phi = (2pix)/lambda` or x = `(philambda)/(2pi)`

∴ x = `(pi/3) (7/10) (1/(2pi)) = 7/60`

= 0.1166 ≈ 0.12 m = 12 cm