NTA Abhyas JEE Main2020PhysicsWaves and SoundPractice
Two loudspeakers L 1 and L 2 , driven by a common oscillator and amplifier, are arranged as shown. The frequency of the oscillator is gradually increased from zero and the detector at D records a series of maxima and minima. If the speed of sound is 330 ms -1 , then at what frequency (in Hz) does the first maximum is observed?
Correct answer
330
Step-by-step solution
Let Δx = path difference ⇒ Δ x = L 2 D - L 1 D ⇒ Δ x = 40 2 + 9 2 - 40 ⇒ Δ x = 41 - 40 ⇒ Δ x = 1 m For first maximum, n = 1 Δ x = n λ Δ x = n V f f = n V x f = 330 Hz