MCQ
In a Young's double slit experiment, light from a laser source falls on a pair of very narrow slits separated by $1.0 \,\mu m$ and bright fringes separated by $1.0 \,mm$ are observed on a distant screen. If the frequency of the laser light is doubled, the separation of the bright fringes is .......$\,mm$ ?
  • A
    $0.25$
  • $0.5$
  • C
    $1.0$
  • D
    $2.0$

Answer

Correct option: B.
$0.5$
b
(b)

In Young's double slit experiment, fringe width or fringe separation is

$\beta=\frac {\lambda D}{d}= \frac{cD}{fd}$

As, $\quad \lambda=c / f$

$\therefore \beta \propto \frac{1}{f}$, keeping other parameters constant.

So, when frequency $f$ is doubled, fringe separation $\beta$ is halved.

$\therefore \quad \beta=\frac{1}{2} \,mm =0.5 \,mm$

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