The intensity of sound at a point P is $$I_0$$ when the sounds reach this point directly and in same phase from two identical sources $$S_1$$ and $$S_2$$. The power of $$S_1$$ is now reduced by 64 percent and the phase difference $$\phi$$ between $$S_1$$ and $$S_2$$ is varied continuously. The maximum and minimum intensities recorded at P are now $$I_{max}$$ and $$I_{min}$$ such that

A

$$I_{max} = 0.64 I_0$$

B

$$\frac{I_{max}}{I_{min}} = 16$$

C

$$\frac{I_{max}}{I_{min}} = \frac{16}{9}$$

D

$$I_{min} = 0.36 I_0$$