In a double slit experiment, when one of the slits is covered by a… | JEE Main 2026 (4 Apr, Shift 2)

Q14JEE Main 2026 · 4 APR · SHIFT 2Medium

YDSE: Film, Medium & Two Wavelengths

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 $\alpha \times 10^{-9}\text{ m}$ . The value of $\alpha$ is

______.

Numerical answer type. Work it out, then open the answer.

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Answer: 5625

Central fringe moves to 7th bright: $(\mu - 1)t = 7\lambda$ .
$t = \dfrac{7 \times 450\text{ nm}}{0.56} = 5625\text{ nm}$
So $\alpha = 5625$ .

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