Two waves of wavelength 1.00 m and 1.01 m produces 10 beats in 3 s . What is the velocity of the wave?

Question

Two waves of wavelength 1.00 m and 1.01 m produces 10 beats in 3 s . What is the velocity of the wave? (A) 150 m s- 1 (B) 115.2 m s- 1 (C) 336.6 m s- 1 (D) 200 m s- 1

Tardigrade Admin · Accepted Answer

ν1=(v/λ 1)=(v/1.00) and ν2=(v/λ 2)=(v/1.01) ∴ Δ ν=ν1-ν2=v[(1/1.00) - (1/1.01)]=(10/3) or v=(10 × 1 × 1.01/0.01 × 3) ∴ v=336.6 ms- 1

Q. Two waves of wavelength $1.00 m$ and $1.01 m$ produces $10 b e a t s$ in $3 s$ . What is the velocity of the wave?

$150 m s^{- 1}$

$115.2 m s^{- 1}$

$336.6 m s^{- 1}$

$200 m s^{- 1}$

$ν_{1} = \frac{v}{λ _{1}} = \frac{v}{1.00} an d ν_{2} = \frac{v}{λ _{2}} = \frac{v}{1.01}$
$∴ Δ ν = ν_{1} - ν_{2} = v [\frac{1}{1.00} - \frac{1}{1.01}] = \frac{10}{3}$
$or v = \frac{10 \times 1 \times 1.01}{0.01 \times 3}$
$∴ v = 336.6 m s^{- 1}$

Q. Two waves of wavelength 1.00m and 1.01m produces 10beats in 3s . What is the velocity of the wave?

150ms−1

115.2ms−1

336.6ms−1

200ms−1