TS EAMCET · Physics · Ray Optics
Refractive index of a medium is \(\mu\). If the angle of incidence is twice that of the angle of refraction, then the angle of incidence is
- A \(\cos ^{-1}\left(\frac{\mu}{2}\right)\)
- B \(\sin ^{-1}\left(\frac{\mu}{2}\right)\)
- C \(2 \cos ^{-1}\left(\frac{\mu}{2}\right)\)
- D \(\sin ^{-1}(\mu)\)
Answer & Solution
Correct Answer
(A) \(\cos ^{-1}\left(\frac{\mu}{2}\right)\)
Step-by-step Solution
Detailed explanation
Given, angle of incidence, \(\mathrm{i}=2 \times\) angle of refraction, \(\mathrm{r}\) from Snell's law \[ \begin{aligned} & \mu_1 \sin \mathrm{i}=\mu_2 \sin r \\ & 1 \times \sin 2 r=\mu \sin r \\ & 2 \sin r \cos r=\mu \sin r \end{aligned} \]…
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
- The focal length of an equi-convex lens is greater than the radius of curvature of any of the surfaces. Then the refractive index of the material of the lens isTS EAMCET 2005 Medium
- The power factor of an \(\mathrm{AC}\) circuit containing peak current \(2 \mathrm{~A}\) and peak voltage \(1 \mathrm{~V}\) is \(1 / 2\), then the angle between voltage and current isTS EAMCET 2023 Medium
- Choose the incorrect statement.TS EAMCET 2020 Medium
- A steel wire can withstand a load up to \(2940 \mathrm{~N}\). A load of \(150 \mathrm{~kg}\) is suspended from a rigid support. The maximum angle through which the wire can be displaced from the mean position, so that the wire does not break when the load passes through the position of equilibrium, isTS EAMCET 2008 Medium
- A cylindrical tube open at both ends has a fundamental frequency 'f' in air. The tube is dipped vertically in water so that half of it is in water. The new fundamental frequency isTS EAMCET 2022 Easy
- The area of a circular copper coin increases by \(0.4 \%\) when its temperature is raised by \(100^{\circ} \mathrm{C}\). The coefficient of linear expansion of the coin is :TS EAMCET 2019 Easy
More PYQs from TS EAMCET
- When a potentiometer is connected between the points \(\mathrm{A}\) and \(\mathrm{B}\) as shown in the circuit, balance point is obtained at \(64 \mathrm{~cm}\). When it is cornected between \(\mathrm{A}\) and \(\mathrm{C}\), the balance point is \(8 \mathrm{~cm}\). If the potentiometer is connected between \(\mathrm{B}\) and \(\mathrm{C}\) the balance point will be
TS EAMCET 2023 Medium - A solid cylinder of mass and radius rolls down an inclined plane of height without slipping. The speed of its centre of mass when the cylinder reaches the bottom is [use ]TS EAMCET 2022 Medium
- A diatomic gas of volume at pressure is compressed adiabatically to a volume The work done in this process is,
[Use ]TS EAMCET 2021 Easy - A straight conductor of length \(4 \mathrm{~m}\) moves at a speed of \(10 \mathrm{~m} / \mathrm{s}\). When the conductor makes on angle of \(30^{\circ}\) with the direction of magnetic field of induction of \(0.1 \mathrm{~Wb}-\mathrm{m}^2\), then induced emf isTS EAMCET 2012 Easy
- A ball of mass \(1 \mathrm{~kg}\) moves in a straight line with velocity \(v=c x^a\), where \(c=1\) (SI unit) and \(\alpha\) is a constant. If the work done by the net force during its displacement from \(\mathrm{x}=0\) to \(\mathrm{x}=4 \mathrm{~m}\) is \(128 \mathrm{~J}\), then the \(\alpha\) isTS EAMCET 2022 Medium
- A body is projected up with a velocity equal to \(\frac{3}{4}\) th of the escape velocity from the surface of the earth. The height it reaches is (Radius of the earth \(=R\) )TS EAMCET 2002 Easy