Given below are two statements: one is labelled as Assertion A an… - Vidyadip

MCQ

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$

Assertion $A$: The phase difference of two light waves change if they travel through different media having same thickness, but different indices of refraction.

Reason $R:$ The wavelengths of waves are different in different media.

In the light of the above statements, choose the most appropriate answer from the options given below

A
Both $A$ and $R$ are correct but $R$ is NOT the correct explanation of $A$
B
$A$ is correct but $R$ is not correct
✓
Both $A$ and $R$ are correct and $R$ is the correct explanation of $A$
D
$A$ is not correct but $R$ is correct

✓

Answer

Correct option: C.

Both $A$ and $R$ are correct and $R$ is the correct explanation of $A$

c
As medium changes, optical path changes.

Also, $\frac{\Delta x}{\lambda}=\frac{\Delta \phi}{2 \pi}$

Hence phase difference changes.

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