Two polaroids $P_1 and P_2$ are placed with their axis perpendicular to each other. Unpolarised light $I_o$ is incident on $P_1$. A third polaroid $P_3$ is kept in between $P_1 and P_2$ such that its axis makes an angle ${45}^{°}$ with that of $P_1$. The intensity of transmitted light through $P_2$

(a)$\frac{I_o}{2}$

(b) $\frac{I_o}{4}$

(c) $\frac{I_o}{8}$

(d) $\frac{I_o}{16}$

Which of the following statements indicates that light waves are transverse? 

The angle of polarisation for any medium is \(60^\circ,\) what will be the critical angle for this?

A beam of light AO is incident on a glass slab (μ = 1.54) in a direction as shown in figure. The reflected ray OB is passed through a Nicol prism on viewing through a Nicole prism, we find on rotating the prism that, 

1. the intensity is reduced down to zero and remains zero.
2. the intensity reduces down some what and rises again.
3. there is no change in intensity.
4. the intensity gradually reduces to zero and then again increases.

In the propagation of electromagnetic waves, the angle between the direction of propagation and plane of polarisation is:

(1) 0^o

(2) 45^o

(3) 90^o

(4) 180^o

An unpolarised light incident on a polariser has amplitude A, and the angle between analyzer and polariser is \(60^{\circ}\). The light transmitted by the analyzer has an amplitude of:

1. $A\sqrt{2}$

2. $A/2\sqrt{2}$

3. $\sqrt{3}A/2$

4. A/2

Light passes successively through two polarimeters tubes each of length 0.29m. The first tube contains dextro rotatory solution of concentration 60kgm^–3 and specific rotation 0.01rad m²kg^–1. The second tube contains laevo rotatory solution of concentration 30kg/m³ and specific rotation 0.02 radm²kg^–1. The net rotation produced is 

(1) 15°

(2) 0°

(3) 20°

(4) 10°

Unpolarized light of intensity 32Wm^–2 passes through three polarizers such that transmission axes of the first and second polarizer makes and angle 30° with each other and the transmission axis of the last polarizer is crossed with that of the first. The intensity of final emerging light will be

(1) 32 Wm^–2

(2) 3 Wm^–2

(3) 8 Wm^–2

(4) 4 Wm^–2

In the visible region of the spectrum the rotation of the place of polarization is given by $\theta =a+\frac{b}{{\lambda }^2}$. The optical rotation produced by a particular material is found to be 30° per mm at $\lambda =5000$Å and 50° per mm at $\lambda =4000\text{Å}$. The value of constant a will be

(1) $+\frac{50°}{9}$per mm

(2) $-\frac{50°}{9}$per mm

(3) $+\frac{9°}{50}$per mm

(4) $-\frac{9°}{50}$per mm

When an unpolarized light of intensity I₀ is incident on a polarizing sheet, the intensity of the light which does not get transmitted is 

(1) Zero

(2) I₀

(3) $\frac{1}{2}{I}_0$

(3) $\frac{1}{4}{I}_0$