Figure shown is a graph at a certain time `t`, of the displacement function `S(x,t)` of three sound waves `1,2` and 3 as marked on the curves that travel along x-axis through air. If `P_1`,`P_2` and `P_3` represent their pressure amplitudes respectively then contact relation between them is:

Options

A. `P_(1)gtP_(2)gtP_(3)`
B. `P_(3)gtP_(2)gtP_(1)`
C. `P_(1)=P_(2)=P_(3)`
D. `P_2gtP_2gtP_1`

Answer

B

Explanation

`P_0=B.K.S_0=B((2pi)/(lamda))S_0impliesP_0prop(1)/(lamda)`
Thus, pressure amplitude is highest for minimum wavelength, other parameters B and `S_0` being same for all. From given graphs
`lamda_(3) lt lamda_(2) lt lamda_(1)`. Hence (b)