λa and λm are the wavelengths of a beam of light in air and in a medium respectively. If θ is the polarising angle, the correct relation between λa , λm and θ is
λa = λm tan2 θ
λm = λa tan2 θ
λa = λm cot θ
λm = λa cot θ
Air has a refractive index 1.0003. The thickness of air column, which will have one more wavelength of yellow light (6000 Å) than in the same thickness in vacuum is
2 mm
2 cm
2 m
2 km
Two coherent light sources S1 and S2 (λ = 6000 Å) are 1 mm apart from each other. The screen is placed at a distance of 25 cm from the sources. The width of the fringes on the screen should be
0.015 cm
0.025 cm
0.010 cm
0.030 cm
Which of the following phenomenon is not common to sound and light waves?
interference
diffraction
coherence
polarisation
The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double slit experiment, is
three
five
infinite
zero
The resolution limit of the eye is 1. At a distance of x km from the eye, two persons stand with a lateral separation of 3 metres. For the two persons to be just resolved by the naked eye, x should be
10 km
15 km
20 km
30 km
A thin transparent sheet is introduced in front of a Young's double slit experiment. The fringe width will
increase
decrease
remain the same
become non-uniform
A beam of ordinary unpolarised light passes through a tourmaline crystal C1 and then it passes through another tourmaline crystal C2 which is oriented such that its principle plane is parallel to that of C2. The intensity of emergent light is I0. Now, C2 is rotated by 60o about the ray. The emergent ray will have an intensity
2 I0
I0 / 2
I0 / 4
I0 / √2
The Young's double slit experiment is performed with blue and with green light of wavelengths 4360 Å and 5460 Å respectively. If x is the distance of the 4th maxima from the central one, then
x(blue) = x(green)
x(blue) > x(green)
x(blue) < x(green)
x(blue) / x(green) = 5460/4360
Diamond has maximum refractive index, hence, velocity of light in diamond is the least. The refractive index of water is the least, hence, in water the velocity of light is maximum.
λ/θ
λ θ