Two Sources \(S_1\) and \(S_2 \) of intensity \(I_1\) and \(I_2\) are in front of a screen [Fig.(a)]. The pattern of intensity distribution seen in the central portion is given by Fig.(b).
In this case, which of the following statements are true?
| (a) | \(S_1\) and \(S_2\) have the same intensities. |
| (b) | \(S_1\) and \(S_2\) have a constant phase difference. |
| (c) | \(S_1\) and \(S_2\) have the same phase. |
| (d) | \(S_1\) and \(S_2\) have the same wavelength. |
Choose the correct option:
| 1. | (a), (b), (c) | 2. | (a), (b), (d) |
| 3. | (b), (c), (d) | 4. | (c), (d) |
(a, b, d) Hint: The interference occurs when the sources are coherent sources.
Consider the pattern of the intensity shown in the figure.
Step 1: Find the comparative intensities of the sources.
(i) As intensities of all successive minima are zero, hence we can say that two sources are having the same intensities.
Step 2: Find the phase difference of the sources.
(ii) As the width of the successive maxima (pulses) increases in a continuous manner, we can say that the path difference (x) or phase difference varies in a continuous manner.
Step 3: Find the comparative wavelengths of the sources.
(iii) We are using monochromatic light in YDSE to avoid overlapping and to have a very clear pattern on the screen.
© 2025 GoodEd Technologies Pvt. Ltd.
