AP EAMCET · PHYSICS · Ray Optics
A prism of refractive index \(\mu\) and angle \(A\) is placed in the minimum deviation position. If the angle of minimum deviation is \(A\), then the value of \(A\) in terms of \(\mu\) is :
- A \(\sin ^{-1}\left(\frac{\mu}{2}\right)\)
- B \(\sin ^{-1} \sqrt{\frac{\mu-1}{2}}\)
- C \(2 \cos ^{-1}\left(\frac{\mu}{2}\right)\)
- D \(\cos ^{-1}\left(\frac{\mu}{2}\right)\)
Answer & Solution
Correct Answer
(C) \(2 \cos ^{-1}\left(\frac{\mu}{2}\right)\)
Step-by-step Solution
Detailed explanation
Refractive index of material of prism \(\mu=\frac{\sin \left(\frac{A+\delta_m}{2}\right)}{\sin \frac{A}{2}}\) but \(\quad \delta_m=A\) \(\mu=\frac{\sin \frac{A+A}{2}}{\sin \frac{A}{2}}\) \(\mu=\frac{\sin A}{\sin A / 2}\) \(\mu=\frac{2 \sin A / 2 \cos A / 2}{\sin A / 2}\)…
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
- A bus moving on a level road with a velocity \(v\) can be stopped at a distance of \(x\), by the application of a retarding force \(F\). The load on the bus is increased by \(25 \%\) by boarding the passengers. Now, if the bus is moving with the same speed and if the same retarding force is applied, the distance travelled by the bus before it stops isAP EAMCET 2014 Hard
- The time taken by a force of to produce a change of momentum of in aAP EAMCET 2020 Easy
- One mole of an ideal gas expands adiabatically from \(200 \mathrm{~K}\) to \(250 \mathrm{~K}\). If the specific heat of the gas at constant volume is \(0.8 \mathrm{~kJ} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}\), then the work done by the gas isAP EAMCET 2017 Easy
- A particle of mass 0.2 g and charge 2 C is released from rest in a uniform electric field of \(20 \mathrm{~N} \mathrm{C}^{-1}\). The kinetic energy of the particle after moving a distance of 20 cm isAP EAMCET 2025 Medium
- A heating element is designed to dissipate \(2400 \mathrm{~W}\) when connected to \(240 \mathrm{~V}\). The power it dissipates when it is connected to \(120 \mathrm{~V}\) is (Assume that resistance of the filament is constant)AP EAMCET 2022 Easy
- A conducting rod of length \(L\) rotates with angular speed \(\omega\) in a uniform magnetic field of induction \(B\) which is perpendicular to its motion. The induced emf developed between the two ends of the rod isAP EAMCET 2002 Easy
More PYQs from AP EAMCET
- \(\begin{aligned}
& \text { If }\left[1-\cos \left(\frac{\pi}{2}+\alpha\right)+\sin \left(\frac{3 \pi}{2}+\alpha\right)\right]^2+ \\
& {\left[1-\sin \left(\frac{3 \pi}{2}-\alpha\right)-\cos \left(\frac{3 \pi}{2}+\alpha\right)\right]^2=a+b \sin ^2\left(\frac{\pi}{4}+\alpha\right)}
\end{aligned}\)
then \(a^2+b^2=\)AP EAMCET 2023 Medium - In a steady state, the temperature at the end and end of a long rod are and . The temperature of a point, from isAP EAMCET 2021 Medium
- In a Binomial distribution \(B(n, p)\), the sum and product of the mean and the variance are 5 and 6 respectively, then \(6(n+p-q)=\)AP EAMCET 2024 Medium
- If the longitudinal strain of a stretched wire is \(0.2 \%\) and the Poisson's ratio of the material of the wire is 0.3, then the volume strain of the wire isAP EAMCET 2025 Medium
- The area (in square units) of the triangle formed by the X - axis, the tangent and the normal drawn at \((1,1)\) to the curve \(x^3+y^3=2 x y\) isAP EAMCET 2025 Medium
- The rms value of emf is given by \(E=(8 \sin \omega t+6 \cos \omega t)\) volt isAP EAMCET 2018 Easy