WBJEE · Physics · Ray Optics
A ray of light is incident at an angle \(i\) on a glass slab of refractive index \(\mu\). The angla between reflected and refracted light is \(90^{\circ}\) Then, the relationship between \(i\) and \(\mu\) is
- A \(i=\tan ^{-1}\left(\frac{1}{\mu}\right)\)
- B \(\tan i=\mu\)
- C \(\sin i=\mu\)
- D \(\cos i=\mu\)
Answer & Solution
Correct Answer
(B) \(\tan i=\mu\)
Step-by-step Solution
Detailed explanation
As situation can be diagrammatically as below From law of reflection \[ i=\theta \] Now, \(\quad \theta+r+90^{\circ}=180^{\circ}\) \[ \begin{aligned} \Rightarrow \quad i+r+90^{\circ} &=180^{\circ} \\ r &=90^{\circ}-i \end{aligned} \] Also, from Snell's law…
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 temperature of a blackbody radiation enclosed in a container of volume \(V\) is increased from \(100^{\circ} \mathrm{C}\) to \(1000^{\circ} \mathrm{C}\). The heat required in the process isWBJEE 2016 Easy
- The intermediate image formed by the objective of a compound microscope isWBJEE 2014 Hard
- An altermating current is flowing through a series \(L-C - R\) circuit. It is found that the current reaches a value of \(1 \mathrm{mA}\) at both \(200 \mathrm{Hz}\) and \(800 \mathrm{Hz}\) frequency. What is the resonance frequency of the circuit?WBJEE 2018 Easy
- What will be the current flowing through the \(6 \mathrm{k} \Omega\) resistor in the circuit shown, where the breakdown voltage of the Zener is \(6 \mathrm{V} ?\)
WBJEE 2018 Easy - An object placed at a distance of \(16 \mathrm{cm}\) from a \(\begin{array}{llll}\text { convex lens } & \text { produces } & \text { an image } & \text { of }\end{array}\) magnification \(m(m>1)\). If the object is moved towards the lens by \(8 \mathrm{cm}\), then again an image of magnification \(m\) is obtained. The numerical value of the focal length of the lens isWBJEE 2013 Hard
- An equilateral triangle is made by uniform wires \(A B, B C, C A .\) A current \(I\) enters at \(A\) and leaves from the mid point of \(B C\). If the lengths of each side of the triangle is \(L,\) the magnetic field \(B\) at the centroid \(O\) of the triangle is
WBJEE 2013 Easy
More PYQs from WBJEE
- The displacement of a particle in S.H.M. varies according to the relation \(x=4(\cos \pi t+\sin \pi \mathrm{t})\). The amplitude of the particle isWBJEE 2011 Easy
-
Two infinite line-charges parallel to each other are moving with a constant velocity \(v\) in the same direction as shown in the figure. The separation between two line-charges is \(d\). The magnetic attraction balances the electric repulsion when, [c = speed of light in free space]WBJEE 2022 Medium - The inputs to the digital circuit are as shown below. The output \(Y\) is
WBJEE 2015 Easy - In order to get a head at least once with probability \(\geq 0.9\), the minimum number of times a unbiased coin needs to be tossed isWBJEE 2018 Medium
- \(\int \frac{\cos 2 x}{\cos x} d x=\)WBJEE 2011 Medium
- The temperature of the water of a pond is \(0^{\circ} \mathrm{C}\) while that of the surrounding atmosphere is \(-20^{\circ} \mathrm{C}\). If the density of ice is \(\rho\) coefficient of thermal conductivity is \(k\) and latent heat of melting is \(L,\) then the thickness \(Z\) of ice layer formed increases as a function of time \(t\) isWBJEE 2016 Hard