Question
In a Young's double slit experiment $\lambda=500\text{nm},$ d = 1.0mm and D = 1.0m. Find the minimum distance from the central maximum for which the intensity is half of the maximum intensity.

Answer

Given that, $D = 1m, d = 1mm = 10^{-3}m,$ $\lambda=500\text{nm}=5\times10^{-7}\text{m}$
For intensity to be half the maximum intensity.
$\text{y}=\frac{\lambda\text{D}}{4\text{d}}$
$\Rightarrow\text{y}=\frac{5\times10^{-7}\times1}{4\times10^{-3}}\Rightarrow\text{y}=1.25\times10^{-4}\text{m}.$

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

Similar questions

At what separation should two equal charges, 1.0C each, be placed so that the force between them equals the weight of a 50kg person?
Define wavefront of a travelling wave. Using Huygens principle, obtain the law of refraction at a plane interface when light passes from a denser to rarer medium.
What is the value of magnetic field within a hollow sphere made of ferromagnetic substance? Hence explain magneto static shielding.
An electron enters with a velocity $v = v_0i$ into a cubical region (faces parallel to coordinate planes) in which there are uniform electric and magnetic fields. The orbit of the electron is found to spiral down inside the cube in plane parallel to the x-y plane. Suggest a configuration of fields E and B that can lead to it.
Explain the refraction of a plane wave from rarer medium to a denser medium, using Huygen's principle.
A 1cm object is placed perpendicular to the principal axis of a convex mirror of focal length 7.5cm. Find its distance from the mirror if the image formed is 0.6cm in size.
Discuss the motion of a charged particle in a uniform magnetic field with initial velocity perpendicular to the magnetic field. $\#\#\#$ Explain the principle of cyclotron.
Draw the graphs showing variation of inductive reactance and capacitive reactance with frequency of applied a.c. source.
Name the nucleus for which the binding energy per nucleon is maximum.
An electron accelerated by 1 kV travels 5 km towards conducting plate of infinite extension is moving in the direction perpendicular to the plate. Calculate the minimum surface charge density on the conducting plate so that the electron cannot collide with the plate.