Two slits separated by a distance of 1, mm ar | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given: Slit separation $d = 1\, mm = 10^{-3}\, m$,wavelength $\lambda = 6.5 	imes 10^{-7}\, m$,distance to screen $D = 1\, m$.The fringe width is

Vedclass · Accepted Answer

$1.625\, mm$

Vedclass · Answer

(A) Given: Slit separation $d = 1\, mm = 10^{-3}\, m$,wavelength $\lambda = 6.5 	imes 10^{-7}\, m$,distance to screen $D = 1\, m$.The fringe width is given by $\beta = \frac{\lambda D}{d} = \frac{6.5 	imes 10^{-7} 	imes 1}{10^{-3}} = 6.5 	imes 10^{-4}\, m = 0.65\, mm$.The position of the $n^{	ext{th}}$ bright fringe is $y_{n, 	ext{bright}} = n\beta$.For the $5^{	ext{th}}$ bright fringe,$y_{5, 	ext{bright}} = 5\beta$.The position of the $n^{	ext{th}}$ dark fringe is $y_{n, 	ext{dark}} = (n - 0.5)\beta$.For the $3^{	ext{rd}}$ dark fringe,$y_{3, 	ext{dark}} = (3 - 0.5)\beta = 2.5\beta$.The distance between the $5^{	ext{th}}$ bright fringe and the $3^{	ext{rd}}$ dark fringe is $\Delta y = y_{5, 	ext{bright}} - y_{3, 	ext{dark}} = 5\beta - 2.5\beta = 2.5\beta$.Substituting the value of $\beta$: $\Delta y = 2.5 	imes 0.65\, mm = 1.625\, mm$.

Similar Questions

Molten sodium chloride conducts electricity due to the presence of

An electric charge $10^{-3} \ \mu C$ is placed at the origin $(0, 0)$ of an $X-Y$ coordinate system. Two points $A$ and $B$ are situated at $(\sqrt{2}, \sqrt{2})$ and $(2, 0)$ respectively. The potential difference between the points $A$ and $B$ will be......$V$.

In which of the following organisms is a three-chambered heart found?

$A$ tetrahedron has vertices at $O(0, 0, 0)$,$A(1, 2, 1)$,$B(2, 1, 3)$,and $C(-1, 1, 2)$. The angle between the faces $OAB$ and $ABC$ is:

If $\left|\begin{array}{ccc}\cos (A+B) & -\sin (A+B) & \cos 2 B \\ \sin A & \cos A & \sin B \\ -\cos A & \sin A & \cos B\end{array}\right|=0$,then $B$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module