Question 81: Wave Optics

Question

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion-(A) : If Young's double slit experiment is performed in an optically denser medium than air, then the consecutive fringes come closer.
Reason-(R) : The speed of light reduces in an optically denser medium than air while its frequency does not change.
In the light of the above statements, choose the most appropriate answer from the options given below :

Accepted Answer

We know, in YDSE,
$\beta$ (fringe width) $$ = {{\lambda D} \over d}$$
In denser medium, $$\lambda  \downarrow  \Rightarrow \beta  \downarrow $$
$\Rightarrow$ fringes come closer.
Also, $$\mu  = {c \over v} \Rightarrow v = {c \over \mu }$$
$$ \Rightarrow \mu  \uparrow  \Rightarrow v \downarrow  \Rightarrow $$ speed of light reduces.
frequency remains same,
$$ \Rightarrow \mu  = {{{\lambda _{vac.}}f} \over {{\lambda _{med.}}f}} \Rightarrow {\lambda _{med}} = {{{\lambda _{vac.}}} \over \mu }$$ (as $$v = \lambda f$$)
Hence, option C is correct.

Answer

(A) is false but (R) is true

Answer

Both (A) and (R) are true but (R) is not the correct explanation of (A)

Answer

Both (A) and (R) are true and (R) is the correct explanation of (A)

Answer

(A) is true but (R) is false

Wave Optics

Choose the correct answer: