In a Young’s double slit experiment, I_o is the intensity at the … - Vidyadip

MCQ

In a Young’s double slit experiment, ${I_o}$ is the intensity at the central maximum and $\beta $ is the fringe width. The intensity at a point $P$ distant $x$ from the centre will be

A
${I_o}\cos \frac{{\pi x}}{\beta }$
B
$4{I_o}{\cos ^2}\frac{{\pi x}}{\beta }$
✓
${I_o}{\cos ^2}\frac{{\pi x}}{\beta }$
D
$\frac{{{I_o}}}{4}{\cos ^2}\frac{{\pi x}}{\beta }$

✓

Answer

Correct option: C.

${I_o}{\cos ^2}\frac{{\pi x}}{\beta }$

c
(c) Path difference at point $P = \frac{{xd}}{D}$
Phase difference at point $P = \frac{{2\pi }}{\lambda }\frac{{xd}}{D} = \frac{{2\pi x}}{\beta }$
${I_0} = 4{I_1}$, intensity at point $P$
$I = {I_1} + {I_1} + 2{I_1}\cos \frac{{2\pi x}}{\beta } = 2{I_1}\,\left[ {1 + \cos \frac{{2\pi x}}{\beta }} \right]$
$ = {I_0}{\cos ^2}\frac{{\pi x}}{\beta }$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 10. Wave optics→10. Wave optics — all question types→Physics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

Select the correct statement from the following

Large transformers, when used for some time, become hot and are cooled by circulating oil. The heating of transformer is due to

In $a$ wire of cross-section radius $r$, free electrons travel with drift velocity $v$ when a current $I$ flows through the wire. What is the current in another wire of half the radius and of the same material when the drift velocity is $2v$?

A particle with charge to mass ratio, $\frac{q}{m} = \alpha $ is shot with a speed $v$ towards a wall at a distance $d$ perpendicular to the wall. The minimum value of $\vec B$ that exist in this region perpendicular to the projection of velocity for the particle not to hit the wall is

A toy car with charge $q$ moves on a frictionless horizontal plane surface under the influence of a uniform electric field $\vec E .$ Due to the force $q\vec E$ , its velocity increases from $0$ to $6\,\, m s^{-1}$ in one second duration. At that instant the direction of the field is reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and tlie average speed of the toy car between $0$ to $3$ seconds are respectively

Eight copper wire of length $l$ and diameter $d$ are joined in parallel to form a single composite conductor of resistance $R$. If a single copper wire of length $2\,l$ have the same resistance $(R)$ then its diameter will be $.....d$.

A transparent slab of thickness $d$ has a refractive index $n(z)$ that increases with $z$. Here $z$ is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices $n_1$ and $n_2\left(>n_1\right)$, as shown in the figure. $A$ ray of light is incident with angle $\theta_t$ from medium 1 and emerges in medium $2$ with refraction angle $\theta_f$ with a lateral displacement $l$.

Which of the following statement($s$) is(are) true?

($A$) , $n_1 \sin \theta_i=n_2 \sin \theta_f$

($B$) $n_1 \sin \theta_i=\left(n_2-n_1\right) \sin \theta_f$

($C$), $l$ is independent of $n_2$

($D$), $l$ is dependent on $n(z)$

Three charged particle $A, B$ and $C$ with charges $-4 q, 2 q$ and $-2 q$ are present on the circumference of a circle of radius $d$. the charged particles $A, C$ and centre $O$ of the circle formed an equilateral triangle as shown in figure. Electric field at $O$ along $x-$direction is

Consider the charge configuration and spherical Gaussian surface as shown in the figure. When calculating the flux of the electric field over the spherical surface the electric field will be due to

If the magnetic flux is expressed in weber, then magnetic induction can be expressed in