Two point sound sources of same frequency 'f' and amplitude 2A and 4A are situated at x=0 and x=20λ respectively (λ = wavelength of wave) on the x - axis. These sources are vibrating in same phase. Four observers A, B, C and D are situated at xA=4λ,xB=8λ,xC=12λ,xD=16λ respectively. The value of intensity observed by another observer O situated exactly at midpoint of location of two sources is I0. (Given I0=36A2K100) List - I gives the above four observers. List - IList - II(I) Observer A(P)916(II) Observer B(Q)49144(III) Observer C(R)49(IV) Observer D(S)516(T)8164(U)1036 List - II contains the values of intensity observed by respective observers in unit of KA2. Match respective intensities observed by the observers.

Two point sound sources of same frequency 'f' and amplitude 2A and 4A

1.	Two point sound sources of same frequency 'f' and amplitude 2A and 4A are situated at x=0 and x=20λ respectively (λ = wavelength of wave) on the x - axis. These sources are vibrating in same phase. Four observers A, B, C and D are situated at xA=4λ,xB=8λ,xC=12λ,xD=16λ respectively. The value of intensity observed by another observer O situated exactly at midpoint of location of two sources is I0. (Given I0=36A2K100) List - I gives the above four observers. List - IList - II(I) Observer A(P)916(II) Observer B(Q)49144(III) Observer C(R)49(IV) Observer D(S)516(T)8164(U)1036 List - II contains the values of intensity observed by respective observers in unit of KA2. Match respective intensities observed by the observers.
Answer» Two point sound sources of same frequency 'f' and amplitude 2A and 4A are situated at $x = 0$ and $x = 20 λ$ respectively $(λ$ = wavelength of wave) on the $x$ - axis. These sources are vibrating in same phase. Four observers A, B, C and D are situated at $x_{A} = 4 λ, x_{B} = 8 λ, x_{C} = 12 λ, x_{D} = 16 λ$ respectively. The value of intensity observed by another observer O situated exactly at midpoint of location of two sources is $I_{0}$ . $(Given I_{0} = \frac{36 A^{2} K}{100})$ List - I gives the above four observers. $\begin{matrix} List - I & List - II (I) Observer A & (P) \frac{9}{16} (II) Observer B & (Q) \frac{49}{144} (III) Observer C & (R) \frac{4}{9} (IV) Observer D & (S) \frac{5}{16} (T) \frac{81}{64} (U) \frac{10}{36} \end{matrix}$ List - II contains the values of intensity observed by respective observers in unit of $K A^{2}$ . Match respective intensities observed by the observers.

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