Question
  1. What is total internal reflection? Under what conditions does it occur?
  2. Find a relation between critical angle and refractive index.
  3. Name one phenomenon which is based on total internal reflection.

Answer

  1. When a ray of light travels from a denser medium into a rarer medium at an angle greater than the critical angle, it reflects back into the denser medium. This phenomenon is called total internal reflection. Conditions for total internal reflection.
    1. Light should travel from denser medium to rarer medium.
    2. Angle of incidence should be greater than critical angle.
  2. $\frac{1}{\mu} = \frac{\sin\text{ i}}{\sin\text{ r}} , $ for total internal reflection to occur $i \geq i _{c}$ at critical angle, angle of refraction$\text{𝑟}=90^{o}$, hence, $\frac{1}{\mu} = \frac{\sin\text{i}_{c}}{\sin90^{o}}$

$\Rightarrow\mu = \frac{1}{\sin\text{i}_{c}}$

  1. Mirage/sparkling of diamond/ optical fiber/totally reflecting Prism/shinning of air bubbles in water.

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

How is a galvanometer converted into a voltmeter and an ammeter? Draw the relevant diagrams and find the resistance of the arrangement in each case. Take resistance of galvanometer as G.
Two blocks of mares 10kg and 20kg are placed on the X-axis. The first mass is moved on the axis by a distance of 2cm. By what distance should the second mass be moved to keep the position of the centre of mass unchanged?
Explain the underlying principle of working of a parallel plate capacitor. If two similar plates, each of area A having surface charge densities $+\sigma$ and $ -\sigma$ are separated by a distance d in air, write expressions for.
  1. the electric field at points between the two plates.
  2.  the potnetial difference between the plates.
  3. the capacitance of the capacitor so formed.
A cylinder rotating at an angular speed of 50rev/s is brought in contact with an identical stationary cylinder. Because of the kinetic friction, torques act on the two cylinders, accelerating the stationary one and decelerating the moving one. If the common magnitude of the acceleration and deceleration be one revolution per second square, how long will it take before the two cylinders have equal angular speed?
A particle is subjected to two simple harmonic motions of same time period in the same direction. The amplitude of the first motion is 3.0cm and that of the second is 4.0cm. Find the resultant amplitude if the phase difference between the motions is:
  1. 60°
  2. 90°
A metal sphere of radius R is charged to a potential V:
  1. Find the electrostatic energy stored in the electric field within a concentric sphere of radius 2R.
  2. Show that the electrostatic field energy stored outside the sphere of radius 2R equals that stored within it.
A cubical box of volume 216cm3 is made up of 0.1cm thick wood. The inside is heated electrically by a 100W heater. It is found that the temperature difference between the inside and the outside surface is 5°C in steady state. Assuming that the entire electrical energy spent appears as heat, find the thermal conductivity of the material of the box.
  1.  

  1.  

Define the terms ‘stopping potential’ and ‘threshold frequency’ in relation to photoelectric effect. How does one determine these physical quantities using Einstein’s equation?
In the original Fizeau method, the light travelled 8.6km and then returned. What could be the difficulty if this distance is taken as 8.6m?