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 P₀ 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 P₀, 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 "Short Answer Type Questions [2M]" from Light Waves→Light Waves — all question types→Physics STD 12 Science question papers→Bihar Board STD 12 Science question papers→Bihar Board question paper generator→

Similar questions

If the solenoid in question 5.3 is free to turn about the vertical direction and a uniform horizontal magnetic field of 0.25 T is applied, then what is the magnitude of torque on the solenoid when its axis makes an angle of$30^{\circ}$ with the direction of applied field?

A person can hear sound waves in the frequency range 20Hz to 20kHz. Find the minimum and the maximum wavelengths of sound that is audible to the person. The speed of sound is 360m/s.

How the speed of revolving electron in stable orbit is related to principal quantum number?

Draw the transfer characteristic curve of a base biased transistor in CE configuration. Explain clearly how the active region of the V₀ versus V_i curve in a transistor is used as an amplifier.

Consider a small cube of volume 1mm³ at the centre of a circular loop of radius 10cm carrying a current of 4A. Find the magnetic energy stored inside the cube.

Two identical coils, radius of each is 8 cm and number of turns is 100 are coaxial and their centers are 12 cm apart. If current of 1 A flows in each coil in the same direction, then calculate the magnetic field at the midpoint on the axial line.

Use Kirchhoff's rules to obtain conditions for the balance condition in a Wheatstone bridge.

Draw the graph of variation in potential difference and electric field with distance ' $r$ ' for a point electric charge $Q$.

Which of the two persons shown in figure is more likely to fall down? Which external force is responsible for his falling down?

Two vectors have magnitudes 3 unit and 4 unit respectively. What should be the angle between them if the magnitude of the resultant is:

1 unit.
5 unit.
7 unit.