NEETPhysicsWave Optics
Match List-I with List-II regarding the interference pattern produced by two coherent sources: List-I (Path/Phase difference) List-II (Fringe type) (A) x = 0 (I) First minimum (B) x = 2 (II) Central maximum (C) = 2 (III) Third minimum (D) = 5 (IV) First maximum Choose the correct answer from the options given below:
Options
- A(A)-(IV), (B)-(III), (C)-(II), (D)-(I)
- B(A)-(II), (B)-(IV), (C)-(I), (D)-(III)
- C(A)-(II), (B)-(III), (C)-(IV), (D)-(I)
- D(A)-(II), (B)-(I), (C)-(IV), (D)-(III)
Correct answer
D. (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
Step-by-step solution
The phase difference and path difference x are related by = 2 x . For (A): x = 0 corresponds to a phase difference of zero, which is the condition for the central maximum. Hence, (A) matches with (II). For (B): x = 2 corresponds to = . This satisfies the condition for the first minimum, = (2n-1) with n=1 . Hence, (B) matches with (I). For (C): = 2 satisfies the condition for constructive interference = 2n with n=1 , which is the first maximum. Hence, (C) matches with (IV). For (D): = 5 satisfies the condition for d