JEE Mains · Physics · STD 12 - 10. Wave optics
In a double slit experiment, when one of the slits is covered by a transparent mica sheet of refractive index \(1.56\), the central fringe shifts to the position of \(7^{th}\) bright fringe, obtained with both slits uncovered. If the light source wavelength is \(450\) nm, the thickness of mica sheet is \(\alpha \times 10^{-9}\) m. The value of \(\alpha\) is ______.
- A 5600
- B 5625
- C 5650
- D 5700
Answer & Solution
Correct Answer
(B) 5625
Step-by-step Solution
Detailed explanation
The shift in the central fringe due to the introduction of a transparent sheet of thickness \(t\) and refractive index \(\mu\) is given by \(\Delta y = \dfrac{D}{d}(\mu - 1)t\). The position of the \(n^{th}\) bright fringe is \(y_n = n \dfrac{D\lambda}{d}\). Equating the two, we…
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