In a two slit experiment with monochromatic light fringes are obt… - Vidyadip

Question

In a two slit experiment with monochromatic light fringes are obtained on a screen placed at some distance from the sits. If the screen is moved by $5 \times {10^{ - 2}}m$ towards the slits, the change in fringe width is $3 \times {10^{ - 5}}m$. If separation between the slits is ${10^{ - 3}}m$, the wavelength of light used is.........$\mathop A\limits^o $

✓

Answer

a
(a)$\beta = \frac{{\lambda D}}{d}$ ==> $\beta$ $\propto$ $D$
==> $\frac{{{\beta _1}}}{{{\beta _2}}} = \frac{{{D_1}}}{{{D_2}}}$ ==> $\frac{{{\beta _1} - {\beta _2}}}{{{\beta _2}}} = \frac{{{D_1} - {D_2}}}{{{D_2}}}$==> $\frac{{\Delta \beta }}{{\Delta D}} = \frac{{{\beta _2}}}{{{D_2}}} = \frac{{{\lambda _2}}}{{{d_2}}}$
$ = {\lambda _2} = \frac{{3 \times {{10}^{ - 5}}}}{{5 \times {{10}^{ - 2}}}} \times {10^{ - 3}} = 6 \times {10^{ - 7}}m = 6000{Å}$

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 boy of $50 \,kg$ is in a lift moving down with an acceleration $9.8\,m{s^{ - 2}}$. The apparent weight of the body is........... $N$ $(g = 9.8\,m{s^{ - 2}})$

Let $\mathop A\limits^ \to $ be a unit vector along the axis of rotation of a purely rotating body and $\mathop B\limits^ \to $ be a unit vector along the velocity of a particle $ P$ of the body away from the axis. The value of $\mathop A\limits^ \to .\mathop B\limits^ \to $ is

The figure here gives the electric field of an $EM$ wave at a certain point and a certain instant. The wave is transporting energy in the negative $z$ direction. What is the direction of the magnetic field of the wave at that point and instant

A transformer has $100\, turns$ in the primary coil and carries $8\,A$ current. If input power is one kilowatt, the number of turns in the secondary coil to have $500\,V$ output will be

The mass defect in a particular reaction is $0.4 \mathrm{~g}$.

The amount of energy liberated is $\mathrm{n} \times 10^7 \mathrm{kWh}$, where$\mathrm{n}=$________.(speed of light $=3 \times 10^8 \mathrm{~m} / \mathrm{s}$ )

A double convex lens has two surfaces of equal radii $15 cm$ and refractive index $\mu=1.5$, its focal length is equal to ..... $cm$

For a moving coil galvanometer, the deflection in the coil is $0.05\,rad$ when a current of $10\,mA$ is passed through it. If the torsional constant of suspension wire is $4.0 \times 10^{-5}\,Nm\,rad ^{-1}$, the magnetic field is $0.01\,T$ and the number of turns in the coil is $200$,the area of each turn (in $cm ^2$ ) is :

In a step up transformer, $220 \,V$ is converted into $200\,V$. The number of turns in primary coil is $600$. What is the number of turns in the secondary coil

A block rests on a rough inclined plane making an angle of $30^o$ with the horizontal. The coefficient of static friction between the block and the plane is $0.8.$ If the frictional force on the block is $10\, N$, the mass of the block (in $kg$) is : (taken $g = 10 \,m/s^2)$

A mixture of ideal gases has $2$ moles of He, $4$ moles of oxygen and $1$ mole of ozone at absolute temperature $T$. The internal energy of mixture is ............. $RT$