367871
Two nicol prisms are kept perpendicular. One of them is illuminated with a light intensity (natural) \({{I_0}}\). Two more nicol prisms are introduced in between symmetrically. Find the light intensity emitted from the last nicol prism.
1 \(\frac{{27{I_0}}}{{128}}\)
2 \(\frac{{27{I_0}}}{{64}}\)
3 \(\frac{{9{I_0}}}{{64}}\)
4 \(9\frac{{{I_0}}}{{32}}\)
Explanation:
1st and 4th are perpendicular to each other. Angle between 1 and 2 is \(30^\circ \) and between 2 and 3 is also \(30^\circ \) . The intensity that comes out from the first prism is \({I_0}{\rm{/}}2\). The intensity that comes out from the last prism is \(I = \frac{{{I_0}}}{2}{\cos ^6}30 = \frac{{{I_0}}}{2}{\left( {\frac{{\sqrt 3 }}{2}} \right)^6} = \frac{{27{I_0}}}{{128}}\)
PHXII10:WAVE OPTICS
367872
A light has amplitude \(A\) and angle between analyser and polariser is \(60^\circ \). Light transmitted by analyser has amplitude
1 \(A\sqrt 2 \)
2 \(\sqrt 3 A{\rm{/}}2\)
3 \(A{\rm{/}}2\)
4 \(A{\rm{/}}\sqrt 2 \)
Explanation:
The transmitted amplitude will be \(A\cos 60^\circ = A/2\)
PHXII10:WAVE OPTICS
367873
An unpolarised beam of intensity \(I_{0}\) falls on a polaroid. The intensity of the emergent light is
1 \(I_{0} / 4\)
2 zero
3 \(I_{0} / 2\)
4 \(I_{0}\)
Explanation:
When unpolarised beam of light of intensity \(I_{0}\) passes through a polaroid, the intensity of the emergent light is \(I_{0} / 2\).
PHXII10:WAVE OPTICS
367874
A calcite crystal is placed over a dot on a piece of paper and rotated on viewing through calcite, one will see
1 Two stationary dots
2 A single dot
3 One stationary and one rotating dot
4 Two stationary dots
Explanation:
The light that comes out from the dot is an unpolarised light. When this light passes through the polaroid then two light rays which are polarised in mutually perpendicular directions will come out from the polariod. This phenomenon is called as double refraction. When we rotate the crystal then one ray will be stable and the other ray will rotate and hence one dot will be stable and the other dot will rotate about the first one.
PHXII10:WAVE OPTICS
367875
Which of these does not show polarization?
1 Longitudinal waves in gas
2 Transverse waves in gas
3 Both (1) and (2)
4 None of these.
Explanation:
Longitudinal wave does not show the polarization. So correct option is (1)
367871
Two nicol prisms are kept perpendicular. One of them is illuminated with a light intensity (natural) \({{I_0}}\). Two more nicol prisms are introduced in between symmetrically. Find the light intensity emitted from the last nicol prism.
1 \(\frac{{27{I_0}}}{{128}}\)
2 \(\frac{{27{I_0}}}{{64}}\)
3 \(\frac{{9{I_0}}}{{64}}\)
4 \(9\frac{{{I_0}}}{{32}}\)
Explanation:
1st and 4th are perpendicular to each other. Angle between 1 and 2 is \(30^\circ \) and between 2 and 3 is also \(30^\circ \) . The intensity that comes out from the first prism is \({I_0}{\rm{/}}2\). The intensity that comes out from the last prism is \(I = \frac{{{I_0}}}{2}{\cos ^6}30 = \frac{{{I_0}}}{2}{\left( {\frac{{\sqrt 3 }}{2}} \right)^6} = \frac{{27{I_0}}}{{128}}\)
PHXII10:WAVE OPTICS
367872
A light has amplitude \(A\) and angle between analyser and polariser is \(60^\circ \). Light transmitted by analyser has amplitude
1 \(A\sqrt 2 \)
2 \(\sqrt 3 A{\rm{/}}2\)
3 \(A{\rm{/}}2\)
4 \(A{\rm{/}}\sqrt 2 \)
Explanation:
The transmitted amplitude will be \(A\cos 60^\circ = A/2\)
PHXII10:WAVE OPTICS
367873
An unpolarised beam of intensity \(I_{0}\) falls on a polaroid. The intensity of the emergent light is
1 \(I_{0} / 4\)
2 zero
3 \(I_{0} / 2\)
4 \(I_{0}\)
Explanation:
When unpolarised beam of light of intensity \(I_{0}\) passes through a polaroid, the intensity of the emergent light is \(I_{0} / 2\).
PHXII10:WAVE OPTICS
367874
A calcite crystal is placed over a dot on a piece of paper and rotated on viewing through calcite, one will see
1 Two stationary dots
2 A single dot
3 One stationary and one rotating dot
4 Two stationary dots
Explanation:
The light that comes out from the dot is an unpolarised light. When this light passes through the polaroid then two light rays which are polarised in mutually perpendicular directions will come out from the polariod. This phenomenon is called as double refraction. When we rotate the crystal then one ray will be stable and the other ray will rotate and hence one dot will be stable and the other dot will rotate about the first one.
PHXII10:WAVE OPTICS
367875
Which of these does not show polarization?
1 Longitudinal waves in gas
2 Transverse waves in gas
3 Both (1) and (2)
4 None of these.
Explanation:
Longitudinal wave does not show the polarization. So correct option is (1)
367871
Two nicol prisms are kept perpendicular. One of them is illuminated with a light intensity (natural) \({{I_0}}\). Two more nicol prisms are introduced in between symmetrically. Find the light intensity emitted from the last nicol prism.
1 \(\frac{{27{I_0}}}{{128}}\)
2 \(\frac{{27{I_0}}}{{64}}\)
3 \(\frac{{9{I_0}}}{{64}}\)
4 \(9\frac{{{I_0}}}{{32}}\)
Explanation:
1st and 4th are perpendicular to each other. Angle between 1 and 2 is \(30^\circ \) and between 2 and 3 is also \(30^\circ \) . The intensity that comes out from the first prism is \({I_0}{\rm{/}}2\). The intensity that comes out from the last prism is \(I = \frac{{{I_0}}}{2}{\cos ^6}30 = \frac{{{I_0}}}{2}{\left( {\frac{{\sqrt 3 }}{2}} \right)^6} = \frac{{27{I_0}}}{{128}}\)
PHXII10:WAVE OPTICS
367872
A light has amplitude \(A\) and angle between analyser and polariser is \(60^\circ \). Light transmitted by analyser has amplitude
1 \(A\sqrt 2 \)
2 \(\sqrt 3 A{\rm{/}}2\)
3 \(A{\rm{/}}2\)
4 \(A{\rm{/}}\sqrt 2 \)
Explanation:
The transmitted amplitude will be \(A\cos 60^\circ = A/2\)
PHXII10:WAVE OPTICS
367873
An unpolarised beam of intensity \(I_{0}\) falls on a polaroid. The intensity of the emergent light is
1 \(I_{0} / 4\)
2 zero
3 \(I_{0} / 2\)
4 \(I_{0}\)
Explanation:
When unpolarised beam of light of intensity \(I_{0}\) passes through a polaroid, the intensity of the emergent light is \(I_{0} / 2\).
PHXII10:WAVE OPTICS
367874
A calcite crystal is placed over a dot on a piece of paper and rotated on viewing through calcite, one will see
1 Two stationary dots
2 A single dot
3 One stationary and one rotating dot
4 Two stationary dots
Explanation:
The light that comes out from the dot is an unpolarised light. When this light passes through the polaroid then two light rays which are polarised in mutually perpendicular directions will come out from the polariod. This phenomenon is called as double refraction. When we rotate the crystal then one ray will be stable and the other ray will rotate and hence one dot will be stable and the other dot will rotate about the first one.
PHXII10:WAVE OPTICS
367875
Which of these does not show polarization?
1 Longitudinal waves in gas
2 Transverse waves in gas
3 Both (1) and (2)
4 None of these.
Explanation:
Longitudinal wave does not show the polarization. So correct option is (1)
367871
Two nicol prisms are kept perpendicular. One of them is illuminated with a light intensity (natural) \({{I_0}}\). Two more nicol prisms are introduced in between symmetrically. Find the light intensity emitted from the last nicol prism.
1 \(\frac{{27{I_0}}}{{128}}\)
2 \(\frac{{27{I_0}}}{{64}}\)
3 \(\frac{{9{I_0}}}{{64}}\)
4 \(9\frac{{{I_0}}}{{32}}\)
Explanation:
1st and 4th are perpendicular to each other. Angle between 1 and 2 is \(30^\circ \) and between 2 and 3 is also \(30^\circ \) . The intensity that comes out from the first prism is \({I_0}{\rm{/}}2\). The intensity that comes out from the last prism is \(I = \frac{{{I_0}}}{2}{\cos ^6}30 = \frac{{{I_0}}}{2}{\left( {\frac{{\sqrt 3 }}{2}} \right)^6} = \frac{{27{I_0}}}{{128}}\)
PHXII10:WAVE OPTICS
367872
A light has amplitude \(A\) and angle between analyser and polariser is \(60^\circ \). Light transmitted by analyser has amplitude
1 \(A\sqrt 2 \)
2 \(\sqrt 3 A{\rm{/}}2\)
3 \(A{\rm{/}}2\)
4 \(A{\rm{/}}\sqrt 2 \)
Explanation:
The transmitted amplitude will be \(A\cos 60^\circ = A/2\)
PHXII10:WAVE OPTICS
367873
An unpolarised beam of intensity \(I_{0}\) falls on a polaroid. The intensity of the emergent light is
1 \(I_{0} / 4\)
2 zero
3 \(I_{0} / 2\)
4 \(I_{0}\)
Explanation:
When unpolarised beam of light of intensity \(I_{0}\) passes through a polaroid, the intensity of the emergent light is \(I_{0} / 2\).
PHXII10:WAVE OPTICS
367874
A calcite crystal is placed over a dot on a piece of paper and rotated on viewing through calcite, one will see
1 Two stationary dots
2 A single dot
3 One stationary and one rotating dot
4 Two stationary dots
Explanation:
The light that comes out from the dot is an unpolarised light. When this light passes through the polaroid then two light rays which are polarised in mutually perpendicular directions will come out from the polariod. This phenomenon is called as double refraction. When we rotate the crystal then one ray will be stable and the other ray will rotate and hence one dot will be stable and the other dot will rotate about the first one.
PHXII10:WAVE OPTICS
367875
Which of these does not show polarization?
1 Longitudinal waves in gas
2 Transverse waves in gas
3 Both (1) and (2)
4 None of these.
Explanation:
Longitudinal wave does not show the polarization. So correct option is (1)
367871
Two nicol prisms are kept perpendicular. One of them is illuminated with a light intensity (natural) \({{I_0}}\). Two more nicol prisms are introduced in between symmetrically. Find the light intensity emitted from the last nicol prism.
1 \(\frac{{27{I_0}}}{{128}}\)
2 \(\frac{{27{I_0}}}{{64}}\)
3 \(\frac{{9{I_0}}}{{64}}\)
4 \(9\frac{{{I_0}}}{{32}}\)
Explanation:
1st and 4th are perpendicular to each other. Angle between 1 and 2 is \(30^\circ \) and between 2 and 3 is also \(30^\circ \) . The intensity that comes out from the first prism is \({I_0}{\rm{/}}2\). The intensity that comes out from the last prism is \(I = \frac{{{I_0}}}{2}{\cos ^6}30 = \frac{{{I_0}}}{2}{\left( {\frac{{\sqrt 3 }}{2}} \right)^6} = \frac{{27{I_0}}}{{128}}\)
PHXII10:WAVE OPTICS
367872
A light has amplitude \(A\) and angle between analyser and polariser is \(60^\circ \). Light transmitted by analyser has amplitude
1 \(A\sqrt 2 \)
2 \(\sqrt 3 A{\rm{/}}2\)
3 \(A{\rm{/}}2\)
4 \(A{\rm{/}}\sqrt 2 \)
Explanation:
The transmitted amplitude will be \(A\cos 60^\circ = A/2\)
PHXII10:WAVE OPTICS
367873
An unpolarised beam of intensity \(I_{0}\) falls on a polaroid. The intensity of the emergent light is
1 \(I_{0} / 4\)
2 zero
3 \(I_{0} / 2\)
4 \(I_{0}\)
Explanation:
When unpolarised beam of light of intensity \(I_{0}\) passes through a polaroid, the intensity of the emergent light is \(I_{0} / 2\).
PHXII10:WAVE OPTICS
367874
A calcite crystal is placed over a dot on a piece of paper and rotated on viewing through calcite, one will see
1 Two stationary dots
2 A single dot
3 One stationary and one rotating dot
4 Two stationary dots
Explanation:
The light that comes out from the dot is an unpolarised light. When this light passes through the polaroid then two light rays which are polarised in mutually perpendicular directions will come out from the polariod. This phenomenon is called as double refraction. When we rotate the crystal then one ray will be stable and the other ray will rotate and hence one dot will be stable and the other dot will rotate about the first one.
PHXII10:WAVE OPTICS
367875
Which of these does not show polarization?
1 Longitudinal waves in gas
2 Transverse waves in gas
3 Both (1) and (2)
4 None of these.
Explanation:
Longitudinal wave does not show the polarization. So correct option is (1)
