Question

Fringe width observed in the Young's double-slit experiment is $\beta$ . If the frequency of the source is doubled, the fringe width will

• A. $Remain\beta$
• B. $becomes\frac{\beta }{2}$
• C. $becomes2\beta$
• D. $becomes\frac{3\beta }{2}$

Answer 1

The correct option is B $becomes\frac{\beta }{2}$

$\beta =\frac{D\lambda }{d};\beta \propto \lambda \propto \frac{1}{\gamma }$
$\frac{{\beta }^1}{\beta }=\frac{\gamma }{{\gamma }^1}=\frac{\gamma }{2\gamma }=\frac{1}{2}$
${\beta }^{\prime }=\frac{\beta }{2}$