TS EAMCET · Physics · Ray Optics
A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If \(\mu\) is the refractive index of the material of the prism, the maximum value of the base angle for which light is totally reflected from the hypotenuse is
- A \(\sin ^{-1}\left(\frac{1}{\mu}\right)\)
- B \(\tan ^{-1}\left(\frac{1}{\mu}\right)\)
- C \(\sin ^{-1}\left(\frac{\mu-1}{\mu}\right)\)
- D \(\cos ^{-1}\left(\frac{1}{\mu}\right)\)
Answer & Solution
Correct Answer
(D) \(\cos ^{-1}\left(\frac{1}{\mu}\right)\)
Step-by-step Solution
Detailed explanation
For total internal reflection, \(\mu=\frac{1}{\sin C}\) \(\mu=\frac{1}{\sin \left(90^{\circ}-\theta\right)}\) \(\mu=\frac{1}{\cos \theta} \Rightarrow \cos \theta=\frac{1}{\mu}\) \(\theta=\cos ^{-1}\left(\frac{1}{\mu}\right)\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- If the system of blocks shown in the figure is released from rest, the ratio of the tensions \(\mathrm{T}_1\) and \(\mathrm{T}_2\) is
(Neglect the mass of the string shown in the figure)
TS EAMCET 2025 Medium - If a proton is accelerated through a potential difference of \(1000 \mathrm{~V}\), then its de-Broglie wavelength is (given, \(m_p=1.67 \times 10^{-27} \mathrm{~kg}\), \(\left.h=6.63 \times 10^{-34} \mathrm{~J}-\mathrm{s}\right)\)TS EAMCET 2018 Easy
- The equation of motion of a damped oscillator is given by \(m \frac{d^2 x}{d t^2}+b \frac{d x}{d t}+k x=0\). The dimensional formula of \(\frac{b}{\sqrt{k m}}\) isTS EAMCET 2024 Easy
- Two blocks of masses \(1 \mathrm{~kg}\) and \(2 \mathrm{~kg}\) are connected by a metal wire going over a smooth pulley. The breaking stress of metal is \(\frac{40}{3 \pi} \times 10^6 \mathrm{Nm}^{-2}\). What should be the minimum radius of wire used if it should not break? \(\left(g=10 \mathrm{~ms}^{-2}\right)\)TS EAMCET 2011 Medium
- A particle having kinetic energy \(K\) is projected at \(60^{\circ}\) with the horizontal. The kinetic energy at the highest point isTS EAMCET 2020 Medium
- What is the mass number of nucleus having radius equal to \(\frac{1}{3}\) of that of \({ }^{189}\) Os?TS EAMCET 2022 Easy
More PYQs from TS EAMCET
- A thermos flask contains \(250 \mathrm{~g}\) of coffee at \(90^{\circ} \mathrm{C}\). To this \(20 \mathrm{~g}\) of milk at \(5^{\circ} \mathrm{C}\) is added. After equilibrium is established, the temperature of the liquid is (Assume no heat loss to the thermos bottle. Take specific heat of coffee and milk as \(\left.1.00 \mathrm{cal} / \mathrm{g}^{\circ} \mathrm{C}\right)\)TS EAMCET 2015 Easy
- Consider an air bubble of radius \(2 \mathrm{~mm}\) in a liquid at a depth of \(5 \mathrm{~cm}\) below the free surface. The density of the liquid is \(1000 \mathrm{lg} / \mathrm{m}^3\) and the surface tension is \(0.1 \mathrm{~N} / \mathrm{m}\). Then, find the pressure inside the air bubble is greater than the pressure at the free surface of the liquid. (Talse, \(g=10 \mathrm{~m} / \mathrm{s}^2\) )TS EAMCET 2018 Medium
- A bullet of mass fired with a speed from passes through a block of wood whose centre is kept at a distance of from the origin as shown in figure. The retarding force on the bullet within the wooden block is . The minimum length of the block (upto one decimal digit) required to completely stop the bullet is (Assume )TS EAMCET 2019 Medium
- A piece of copper and a piece of germanium are cooled from room temperature to \(80 \mathrm{~K}\). Then, which one of the following is correct?TS EAMCET 2017 Easy
- A vessel contains hydrogen and nitrogen gases in the ratio \(2: 3\) by mass. If the temperature of the mixture of the gases is \(30^{\circ} \mathrm{C}\), then the ratio of the average kinetic energies per molecule of hydrogen and nitrogen gases is (Molecular mass of hydrogen \(=2\) and molecular mass of nitrogen \(=28\) )TS EAMCET 2024 Easy
- A person is managing to be at rest between two vertical walls by pressing one wall by his hands and feet and second wall with his back. The coefficient of friction is between his body and the wall. If the force with which the person pushes the wall is then the mass of the person is (Take )TS EAMCET 2021 Easy