Tag: wave optics

Questions Related to wave optics

When the separation between the central maxima of the two objects is greater than a separation between central maximum of a first object and the first minima of the first object, then objects are said to be

  1. just resolved

  2. well resolved

  3. not resolved

  4. none of the above


Correct Option: B
Explanation:

well resolved (definition of qualia)

The diameter of an objective of a telescope, which can just resolve two stars situated at an angular displacement of ${10^{ - 4}}$ degree, should be $\left( {\lambda  = 5000\,{A^0}} \right)$ 

  1. 35 mm

  2. 35 cm

  3. 35 m

  4. None of the above


Correct Option: B
Explanation:

$\Delta \theta  = \left( {\dfrac{{1.22\lambda }}{d}} \right)$
$d = \left( {\dfrac{{1.22 \times \lambda }}{{\Delta \theta }}} \right)$
$ \Rightarrow \,\,{10^{ - 4}}\, \to \,\dfrac{\lambda }{{180}} \times {10^{ - 4}}$
$ = 1.74 \times {10^{ - 6}}\,rad.$
$d = \left( {\dfrac{{1.22 \times 5000 \times {{10}^{ - 10}}}}{{1.74 \times {{10}^{ - 6}}}}} \right)$
$ = 0.35\,m\,\,or\,\,35\,cm$

A beam of natural light falls on a system of 5 polaroids, which are arranged in succession such that the pass axis of each Polaroid is turned through $60^0$ with respect to the preceding one. The fraction of the incident light intensity that passes through the system is

  1. $\dfrac{1}{64}$

  2. $\dfrac{1}{32}$

  3. $\dfrac{1}{256}$

  4. $\dfrac{1}{128}$


Correct Option: C

What proves that light is a transverse wave?

  1. Polarization

  2. Reflection

  3. Refraction

  4. Interference


Correct Option: A
Explanation:

A transverse wave is a wave that oscillates perpendicular to its direction of propagation.  Polarization of light proved that light is a transverse wave.

The helical structures of nucleic acids can be studied by using :

  1. Interference phenomenon

  2. Diffraction pattern

  3. Polarised light

  4. Photoelectric effect


Correct Option: C
Explanation:

Polarised light is used to studied helical structures of nucleic acids using different methods such as optical rotatory dispersion. In this method due to refractive indices of the medium for left and right circularly polarised light reflects the structural details of such molecular complexes.

In the light emerging from calcite crystal :

  1. Both O-ray and E-ray are partially polarised

  2. Both O-ray and E-ray are completely polarised

  3. O-ray is partially polarised and E-ray is completely polarised.

  4. O-ray is completely polarised and E-ray is partially polarised.


Correct Option: B
Explanation:

Because of birefringence the ordinary and extra ordinary ray are completely polarized.

In double refraction :

  1. the velocity of the E-ray varies with direction

  2. e-ray does not obey Snell's law

  3. $\mu $ of E-ray is constant

  4. both A and B


Correct Option: D
Explanation:

Because the speed of light waves in a medium is equal to their speed in a vacuum divided by the index of refraction for that wavelength, an extra ordinary ray can be either faster or slower than an ordinary ray. The extra ordinary ray does not obey snell's law. It is because refractive index of the e-ray varies according to the direction taken because it has components that are both parallel and perpendicular to the crystal's optic axis.

In double refraction, the stationary image can be produced by :

  1. O-ray

  2. E-ray

  3. Both O-ray and E-ray combined together

  4. Some times O-ray and some times E-ray


Correct Option: A
Explanation:

Only for the ordinary ray the refractive index is observed to be constant in all directions

Consider the following statements A and B. Identify the correct statements.
(A) Polarized light can be used to study the helical structure of nucleic acids.
(B) Optical axis is a direction and not any particular line in the crystal.

  1. A and B are correct

  2. A and B are wrong

  3. A is correct and B is wrong

  4. A is wrong and B is correct


Correct Option: A
Explanation:

Nucleic acid is an optically active medium. When circularly polarized light passes through an absorbing optically active medium, the speeds between right and left polarizations differ as well as their wavelengths. This can be used to study the helical structure of nucleic acids.
An optical axis is a line along which there is some degree of rotational symmetry in an optical system. Thus it is a particular direction and not any
random line.

When unpolarised light passes through a Polaroid sheet the beam that emerges from it is plane polarized. This is due to selective :

  1. absorption of the O-Ray

  2. absorption of the E-Ray

  3. absorption of the E & O Rays

  4. reflection of one of the rays


Correct Option: A
Explanation:

polaroid has absorption of O- Ray as the phenomenon behind its polarising ability.