In young's double slit experiment performed using a monochromatic… - Vidyadip

MCQ

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..........

A
$3$
✓
$2$
C
$1.5$
D
$0.5$

✓

Answer

Correct option: B.

$2$

b
Path difference at $O =(\mu-1) t$.

If the intensity at $O$ remains (maximum) unchanged, path difference must be $n \lambda$.

$\Rightarrow(\mu-1) t = n \lambda$

$(1.5-1) x \lambda= n \lambda$

$\Rightarrow x =2 n$

For $n =1, x =2$

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