Two transparent slabs having equal thickness but different refrac… - Vidyadip

Question

Two transparent slabs having equal thickness but different refractive indices $\mu_1$ and $\mu_2$ are pasted side by side to form a composite slab. This slab is placed just after the double slit in a Young's experiment so that the light from one slit goes through one material and the light from the other slit goes through the other material. What should be the minimum thickness of the slab so that there is a minimum at the point $P_0$ which is equidistant from the slits?

✓

Answer

The change in path difference due to the two slabs is $(\mu_1-\mu_2)\text{t}$ (as in problem no. 16).
For having a minimum at $P_0$, the path difference should change by $\frac{\lambda}{2}.$
So, $\Rightarrow\frac{\lambda}{2}=(\mu_1-\mu_2)\text{t}\Rightarrow\text{t}=\frac{\lambda}{2(\mu_1-\mu_2)}.$

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 "2 Marks Questions" from Wave Optics→Wave Optics — all question types→Physics STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

N small conducting liquid droplets, each of radius r, are charged to a potential V each. These droplets coalesce to form a single large drop without any charge leakage. Find the potential of the large drop.

Give brief information about the solenoid.

Define equipotential surface. Write its characteristics.

The radii of two conductors $A$ and $B$ with equal charge density are $R_1$ and $R_2$, respectively ( $R_1$ $>R_2$ ). If the conductors are connected to a conducting wire of negligible capacitance then find out :(a) From which conductor will the charge flowto whom?(b) What will be the ratio of charges on the conductors after charge redistribution?

An aeroplane travels over a rectangular field 100m × 50m, parallel to its length. What should be the speed of the plane so that the field becomes square in the plane frame?

What will be the path of a charged particle moving in a region of crossed (or transverse) uniform electrostatic and magnetic fields with initial velocity zero?

Using the formula $\overrightarrow{\text{F}}=\text{q}\overrightarrow{\text{v}}\times\overrightarrow{\text{B}}$ and $\text{B}=\frac{\mu_0\text{i}}{2\pi\text{r}},$ show that the SI units of the magnetic field B and the permeability constant $\mu_0$ may be written as N/A-m and $NA^2$ respectively.

Estimate the speed of vertically falling raindrops from the following data. Radius of the drops $=0.02 \mathrm{~cm}$, viscosity of air $=1.8 \times 10^{-4}$ poise, $g=9.9 \mathrm{~m} / \mathrm{s}^2$ and density of water $=1000 \mathrm{~kg} / \mathrm{m}^3$.

If current flowing in a circular coil is doubled and radius is halved, then what would be the change in the produced magnetic field at the center of the coil?

Explain the energy losses in a transformer.