An oscillator of frequency `680 Hz` drives two speakers . The speakers are fixed on a vertical pole at a distance `3 m` from each other as shown in Fig. 7.103. A person whose height is almost the same as that of the lower speaker walks towards the lower speaker in a direction perpendicular to the pole. Assuming that there is no reflection of sound from the ground and speed of sound is `v = 340 m//s` , answer the following questions.

At some instant , when the person is at a distance `4 m` from the pole , the wave function ( at the person's location) that describes the waves coming from the lower speaker `y = A cos (kx - omega t)` , where `A` is the amplitude , `omega = 2 pi v` with `v = 680 Hz` (given) and `k = 2 pi//lambda`
Wave function ( at the person's location) that describes waves coming from the upper speaker can be expressed as :

Options

A. `y=Acos(kx - omegat +pi)`
B. `y = A cos(kx - omegat + pi//2)`
C. `y=A cos(kx - omegat + 2pi)`
D. `y=Acos(kx - omegat + (3pi)/2)`

Answer

C