In a Young's double slit experiment the angular width of a fringe… - Vidyadip

MCQ

In a Young's double slit experiment the angular width of a fringe formed on a distant screen is $1^{\circ}$. The wavelength fo the light used is $6280 \;\mathring A$. $...........\,mm$ is the distance between the two coherent sources.

✓
$0.036$
B
$0.12$
C
$6$
D
$4$

✓

Answer

Correct option: A.

$0.036$

a
(a)

The angular fringe width is given by $\alpha=\frac{\lambda}{ d }$ where $\lambda$ is wavelength and $d$ is the distance between two coherent sources. Thus $d =\frac{\lambda}{\alpha}$

Given, $\lambda=6280 \mathring A, \alpha=1^{\circ}=\frac{\pi}{180}$ radian .

$d =\frac{6280 \times 10^{-10}}{3.14} \times 180$

$=3.6 \times 10^{-5}\,m =0.036\,mm$

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A magnet of magnetic moment $ 20 $ $C.G.S.$ units is freely suspended in a uniform magnetic field of intensity $0.3 $ $ C.G.S.$ units. The amount of work done in deflecting it by an angle of $30°$ in $ C.G.S.$ units is

The displacement $x$ (in metres) of a particle performing simple harmonic motion is related to time $t$ (in seconds) as $x = 0.05\cos \left( {4\,\pi \,t + \frac{\pi }{4}} \right)$. The frequency of the motion will be ..... $Hz$

Assume that a tunnel is dug along a chord of the earth, at a perpendicular distance $( R / 2)$ from the earth's centre, where $'R'$ is the radius of the Earth. The wall of the tunnel is frictionless. If a particle is released in this tunnel, it will execute a simple harmonic motion with a time period

Particle $A$ makes a perfectly elastic collision with another particle $B$ at rest. They fly apart in opposite direction with equal speeds. If their masses are $m_A$ and $m_B$ respectively, then

Let $\vec A = (\hat i + \hat j)$ and $\vec B = (2\hat i - \hat j).$ The magnitude of a coplanar vector $\vec C$ such that $\vec A\cdot \vec C = \vec B\cdot \vec C = \vec A\cdot \vec B$ is given by

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason(R).
Assertion (A) : Magnetic monopoles do not exist.
Reason (R): Magnetic field lines are continuous and form closed loops.
In the light of the above statements, choose the most appropriate answer from the options given below :

When a bimetallic strip is heated, it

Three identical rods have been joined at a junction to make it a $Y$ shape structure. If two free ends are maintained at $90\,^oC$ and the third end is at $30\,^oC$ , then what is the junction temperature $\theta $ ?......... $^oC$

An electric dipole is placed at an angle of $30^o $ with an electric field intensity $2 \times \,\,10^5 \,\,NC^{-1}$ It experiences a torque equal to $4\,\, N m.$ The charge on the dipole, if the dipole length is $2\,\, cm,$ is

A parachutist of weight $‘w’$ strikes the ground with his legs fixed and comes to rest with an upward acceleration of magnitude $3 \,g$. Force exerted on him by ground during landing is