Two waves of wave length 2 m and 2.02 m respectively moving with the same velocity and superimpose to produce 2 beats per second. The velocity of the waves is:

Question

Two waves of wave length 2 m and 2.02 m respectively moving with the same velocity and superimpose to produce 2 beats per second. The velocity of the waves is: (A) 400.0 m/s (B) 402 m/s (C) 404 m/s (D) 406 m/s

Tardigrade Admin · Accepted Answer

Number of beats Δ n = n 1- n 2 2=( v /λ1)-( v /λ2) ⇒ 2 =( v /2)-( v /2.02) 2 =( v /202) ⇒ v =404

Q. Two waves of wave length $2 m$ and $2.02 m$ respectively moving with the same velocity and superimpose to produce $2$ beats per second. The velocity of the waves is:

400.0 m/s

402 m/s

404 m/s

406 m/s

Number of beats $Δ n = n_{1} - n_{2}$
$2 = \frac{v}{λ _{1}} - \frac{v}{λ _{2}}$
$\Rightarrow 2 = \frac{v}{2} - \frac{v}{2.02}$
$2 = \frac{v}{202} \Rightarrow v = 404$

Q. Two waves of wave length 2m and 2.02m respectively moving with the same velocity and superimpose to produce 2 beats per second. The velocity of the waves is: