In Young's double slit experiment performed using a monochromatic… | JEE Main 2022 (28 Jun, Shift 2)

Q51JEE Main 2022 · 28 JUN · SHIFT 2Medium

YDSE: Film, Medium & Two Wavelengths

In Young's double slit experiment performed using a monochromatic light of wavelength $\lambda$ , when a glass plate ( $\mu$ = 1.5) of thickness x $\lambda$ is introduced in the path of the one of the interfering beams, the intensity at the position where the central maximum occurred previously remains unchanged. The value of x will be:

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Answer: (b)

A plate adds an extra path $(\mu - 1)t$ to one beam.
Intensity at the old central point is unchanged if $(\mu - 1)t = n\lambda$ .
$(1.5 - 1)(x\lambda) = n\lambda \Rightarrow x = 2n$
Smallest non-zero value: $x = 2$ . So the answer is (b) 2.

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