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Physics · 2022 · 3 marks
CBSE 2022 · Region 3 · Set 2 · Q10
How is the spacing between fringes in a double slit experiment affected if: (i) the slits separation is increased, (ii) the colour of light used is…
How is the spacing between fringes in a double slit experiment affected if :
(i)
the slits separation is increased,
(ii)
the colour of light used is changed from red to blue,
(iii)
the whole apparatus is submerged in a oil of refractive index $\displaystyle 1.2$ ? Justify your anwer in each case.
Marking-scheme solution
Spacing between fringes in Young's doubles slit experiment
$$\beta=\frac{\lambda D}{d}
$$
$\displaystyle 1$) $\displaystyle \beta$ decreases as $\displaystyle d$ increases as $\displaystyle \beta \propto \frac{1}{d}$
$\displaystyle 2$) $\displaystyle \lambda_{\text {blue }}<\lambda_{\text {red }}$ as $\displaystyle \beta \propto \lambda$ ∴ fringe width decreases.
$\displaystyle 3$) $\displaystyle \beta^{\prime}=\frac{\beta}{\mu} \quad \therefore \beta$ decreases as $\displaystyle \mu>1[\therefore \mu=1.2]$
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