NEET2019PhysicsWaves and SoundActual
Two sources of sound S₁ and S₂ are moving towards and away from a stationary observer with same speed respectively. Observer detects 3 beats per second. Find the speed of sources (approximately). Given, v₁=v₂=500 ~Hz , speed of air =330 ~m ~s ⁻¹
Options
- A1 ~m ~s ⁻¹
- B2 ~m ~s ⁻¹
- C3 ~m ~s ⁻¹
- D4 ~m ~s ⁻¹
Correct answer
A. 1 ~m ~s ⁻¹
Step-by-step solution
v₁=500 ~Hz , v₂=500 ~Hz S₁ O bserver S₂ Beats frequency =3 beats sec ⁻¹v₁= ( 330 330-v ) 500, v₂= ( 330 330+v ) 500 Beats = (v₁-v₂ ) aligned & 3= ( 330 330-v ) 500- ( 330 330+v ) 500 & 3= 500 330^2-v^2 2 v 330 ( v^2< < 330^2 ) & 3= 500 330 2 v 330^2 & v= 3 330 2 500 v=0.99 ~m ~s ⁻¹=1 ~m ~s ⁻¹ approx aligned