Wave optics practice · Mixed difficulty

Brewster’s angle in terms of refractive index (n) of the medium

Assertion: Distance between position of bright and dark fringe remain same in YDSE
Reason: Fringe width $\beta=\frac{\lambda D}{d}$

${V_O}\;and\;{V_E}$ represent the velocities, ${\mu _O}\;and\;{\mu _E}$ the refractive indices of ordinary and extraordinary rays for a doubly refracting crystal. Then

Assertion: If Fraunhoffer diffraction through single slit is observed under monochromatic light, then central maxima cannot be identified from other maxima.

Reason: In Fraunhoffer single slit diffraction under monochromatic light, all maxima has equal width.

According to Huygen’s theory of light

In YDSE, let $A$ and $B$ be two slits. Films of thicknesses $t_A$ and $t_B$ and refractive indices $\mu_A$ and $\mu_B$ are placed in front of $A$ and $B$, respectively. If $\mu_A t_A=\mu_B t_B$, then the central maxima will:

In young’s two slit experiment the distance between the two coherent sources is $2\;mm$ and the screen is at a distance of $1\;m$. If the fringe width is found to be $0.03\;cm$, then the wavelength of the light used is

Two coherent sources are 0.3 mm apart. They are 1 m away from the screen. The second dark fringe is at a distance of 0.3 cm from the centre. Distance of fourth bright fringe from the centre is

If a source of light is moving away from a stationary observer, then the frequency of light wave appears to change because of

A wavefront presents one, two and three HPZ at points $A,B\;and\;C$ respectively. If the ratio of consecutive amplitudes of HPZ is $4\mathrm{ }:\mathrm{ }3$, then the ratio of resultant intensities at these point will be

Colours in thin films are due to

In Young’s double slit experiment, a third slit is made in between the double slits. Then

The fringe width in Young’s double slit experiment increases when

In Young’s double slit experiment, if one of the slits is closed fully, then in the interference pattern

Statement-1: In Young's double slit experiment the two slits are at distance $d$ apart. Interference pattern is observed on a screen at distance $D$ from the slits. At a point on the screen when it is directly opposite to one of the slits, a dark fringe is observed. Then the wavelength of wave is proportional to square of distance between the two slits.
Statement-2: For a dark fringe intensity is zero.

A slit of width ‘a’ is illuminated by white light. For red light $\left( {\lambda = 6500\,{A^ \circ }} \right)$, the first minima is obtained at $\left( {\lambda = 6500\,{A^ \circ }} \right)$, then the value of ‘a’ will be

A narrow stream of electrons of energy 100eV is fired at two parallel slits very close to each other. The distance between the slits is 10A. The electron waves after passing through the slits interfere on a screen, 3m away from slits. The fringe width is

Assertion: The clouds in sky generally appear to be whitish.

Reason: Diffraction due to clouds is efficient in equal measure at all wavelengths.

The two slits are $1\,mm$ apart from each other and illuminated with a light of wavelength $5 \times {10^{ - 7}}\,m$. If the distance of the screen is $1\,m$ from the slits, then the distance between third dark fringe and fifth bright fringe is

An objective lens of a telescope has diameter 200 cm. The limit of resolution of telescope for wavelength 600 nm is nearly

Through which character we can distinguish the light waves from sound waves

If a star emitting light of wavelength 500 nm is moving towards earth with a velocity of $1.5\mathrm{ } \times \mathrm{ }{10^6}m/s$ then the shift in the wavelength due to doppler’s effect will be:

A star is moving away from the earth with a velocity of $100\;km/s$. If the velocity of light is $3 \times {10^8}\;m/s$ then the shift of its spectral line of wavelength $5700\mathop \mathrm{A}\limits^ \circ$ due to Doppler’s effect will be

Resolving power of a microscope depends upon

The diffraction pattern of a light of wavelength $400 \mathrm{~nm}$ diffracting from a salt of width $0.2 \mathrm{~mm}$ is focused on the focal plane of a convex lens of focal length $100 \mathrm{~cm}$. The width of the $1^{\text {st }}$ secondary

Soap bubble appears coloured due to the phenomenon of

If microwaves, X rays, infrared, gamma rays, ultra-violet, radio waves and visible parts of the electromagnetic spectrum are denoted by M, X, I, G, U, R and V then which of the following is the arrangement in ascending order of wavelength?

In a Young’s double slit experiment, a student observes 8 fringes in a certain segment of screen when a monochromatic light of 600 nm wavelength is used. If the wavelength of light is changed to 400 nm, then the number of fringes he would observe in the same region of the screen is:

The $21\;cm$ radio wave emitted by hydrogen in interstellar space is due to the interaction called the hyperfine interaction is atomic hydrogen. the energy of the emitted wave is nearly

For the sustained interference of light, the necessary condition is that the two sources should