## Wave Optics Questions with Answers

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__Wave Optics – Numerical Problems with Answers__

__Wave Optics – Numerical Problems with Answers__

1. In Young’s double slit experiment using monochromatic light of wavelength Î», the intensity at a point on the screen where path difference is Î» is k units. What is the intensity of light at a point where path difference is Î»/3 ?

2.
In Young’s double slit experiment, angular width
of a fringe is found to be 0.2° on a screen placed 1 m away. The wavelength of
light used is 600 nm. What will be the angular width of the fringe, if the
entire experimental apparatus is immersed in water ? Take refractive index of
water = 4/3

3.
A Parallel beam of light of wavelength 500 nm
falls on a narrow slit and the resulting diffraction pattern is observed on a
screen 1 m away. It is observed that the first minima is at a distance of 2.5
mm from the centre of the screen, Find the width of slit.

4.
The distance between two slits in young
interference experiment is 0.03 cm. The 4th bright fringe is obtained at
a distance of 1 cm from Central fringe on a screen placed at a distance of 1.5
m from slits. Calculate the wavelength of light used.

5.
A beam of light consisting of two wavelengths 800
nm and 600 nm is used to obtain the interference fringes in a Young's double
slit experiment on a screen placed 1.4 m away, if the two slits are separated
by 0.28 mm, Calculate the least distance from the central bright maximum where
the bright fringes of two wavelengths coincide.

6.
Assume that the light of wavelength 6000

**Ã…**is coming from a star. Find the limit of resolution of a telescope whose objective has a diameter of 250 cm.
7.
Two slits are made 1 mm apart and the screen is
placed 1 m away. What should be the width of each slit to obtain 10 maximum of
the double slit pattern within the central maximum of the single slit pattern?

8.
Find the ratio of intensities at two points on a
screen in Young's double slit experiment when waves from the two slits have a
path difference of (i) zero and

(ii) Î» /4

9.
A slit of width is illuminated by light of
wavelength 700 nm. What will be the value of slit width ‘a’ when (i) first
minimum falls at an angle of diffraction 30 degree (ii) 1st Maxima Falls at an
angle of refraction 30 degree.

10.
Two polaroids are placed 90 degree to each other
and the transmitted intensity is zero. What happens when one more polaroid is
placed between these two bisecting the angle between them. Take intensity of
unpolarized light I

_{o}.
11.
Find an expression for intensity of transmitted
light when a polaroid sheet is rotated between two crossed polaroids. In which
position of polaroids sheet will be transmitted intensity be maximum.

12.
The Critical angle for a given piece of glass is
45 degree. Calculate polarising angle for it also calculate the angle of
refraction when light is incident on this glass at an angle of incidence is
equal to I

_{p}.
13.
A small
bulb is placed at the bottom of a tank containing water to a depth of 80 cm. What
is the area of the surface of water through which light from the bulb can
emerge out. refractive index of water is 4 / 3.

14.
For a glass prism ( refractive index √ 3) the
angle of minimum deviation is equal to the angle of prism. Find the angle of
prism.

15.
In a double slit Interference experiment the two
Coherent beams have slightly different intensities I and I+áºŸ I (áºŸ I
<< I). Show that resultant intensity at the Maxima is nearly 4I while
that at minima is nearly | áºŸ I |

^{2}/ 4I .
16.
Two wavelengths of Sodium light 590 nm and 596 nm
are used to study diffraction taking place at a single slit of aperture 2 x 10

^{-4}m. The distance between the slit and the screen is 1.5 m. Calculate the seperation between the positions of first Maxima of diffraction pattern obtained in two cases.
17.
A parallel
beam of light of 500 nm falls on a narrow slit and the resulting diffraction
pattern is observed on a screen 1 m away. It is observed that the first minimum
is at a distance of 2.5 mm from the centre of the screen. Calculate the width
of the slit.

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__Wave
Optics – Conceptual Questions__

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__Wave
Optics – Conceptual Questions__

18.
what is the shape of wavefront on Earth for
sunlight?

19.
when a low flying aircraft passes over head we
sometimes noticed a slight shaking of the picture on a TV screen why

20.
can two identical and independent sodium lamps
act as coherent sources give reason

21.
what will be the effect on interference princess
if red light is replaced by blue light

22.
in a single slit diffraction experiment the width
of the Slate is made double the original with how does this affect the size and
intensity of Central diffraction and

23.
at what angle of incidence should a light beam
strike a glass slab of refractive index root 3 such that the reflected and
refracted Ray Perpendicular to each other

24.
the refractive index of a material is root 3 what
is the angle of refraction if the unpolarised light is incident on 8 at the
polarizing angle of medium

25.
give three difference between interference and
diffraction patterns.

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