Polarisation
PHXII10:WAVE OPTICS

367854 \(n\)' polarizing sheets are arranged such that each makes an angle \(45^{\circ}\) with the preceding sheet. An unpolarized light of intensity \(I\) is incident into this arrangement. The output intensity is found to be \(I/64\) The value of \(n\) will be

1 6
2 3
3 4
4 5
PHXII10:WAVE OPTICS

367855 Unpolarized light of intensity \(I\) passes through an ideal polarizer \(A\). Another identical polarizer \(B\) is placed behind \(A\). The intensity of light beyond \(B\) is found to be \(\frac{1}{2}\). Now another identical polarizer \(C\) is placed between \(A\) and \(B\). The intensity beyond \(B\) is now found to be \(\frac{1}{8}\). The angle between polarizer \(A\) and \(B\) is:

1 \(30^\circ \)
2 \(45^\circ \)
3 \(60^\circ \)
4 \(0^\circ \)
PHXII10:WAVE OPTICS

367856 A beam of natural light falls on a system of 6 polaroids, which are arranged in succession such that each polaroid is turned through \(30^\circ \) with respect to the preceding one. The percentage of incident intensity that passes through the system will be

1 \(50\% \)
2 \(100\% \)
3 \(12\% \)
4 \(30\% \)
PHXII10:WAVE OPTICS

367857 The polaroids \({P_1},{P_2}\,\,\& \,\,{P_3}\) are arranged coaxially. The angle between \(P_{1}\) and \(P_{2}\) is \(37^{\circ}\). If intensity of emerging light is one quarterth of intensity of unpolarised light then angle between \({P_2}\,\,\& \,\,{P_3}\) is

1 \(\theta=\cos ^{-1}\left(\dfrac{5}{4}\right)\)
2 \(\theta=\cos ^{-1}\left(\dfrac{4}{5}\right)\)
3 \(\theta=\cos ^{-1}\left(\dfrac{4}{5 \sqrt{2}}\right)\)
4 \(\theta=\cos ^{-1}\left(\dfrac{5}{4 \sqrt{2}}\right)\)
PHXII10:WAVE OPTICS

367858 Two beams, \(A\) and \(B\), of plane polarised light with mutually perpendicular planes of polarisation are seen through a polaroid. From the position when the beam \(A\) has maximum intensity (and beam \(B\) has zero intensity), a rotation of Polaroid through \(30^\circ \) makes the two beams appear equally bright. If the initial intensities of the two beams are \({I_A}\) and \({I_B}\) respectively, then \({I_A}{\rm{/ }}{I_B}\) equals:

1 1
2 \(1{\rm{/}}3\)
3 3
4 \(3{\rm{/}}2\)
PHXII10:WAVE OPTICS

367854 \(n\)' polarizing sheets are arranged such that each makes an angle \(45^{\circ}\) with the preceding sheet. An unpolarized light of intensity \(I\) is incident into this arrangement. The output intensity is found to be \(I/64\) The value of \(n\) will be

1 6
2 3
3 4
4 5
PHXII10:WAVE OPTICS

367855 Unpolarized light of intensity \(I\) passes through an ideal polarizer \(A\). Another identical polarizer \(B\) is placed behind \(A\). The intensity of light beyond \(B\) is found to be \(\frac{1}{2}\). Now another identical polarizer \(C\) is placed between \(A\) and \(B\). The intensity beyond \(B\) is now found to be \(\frac{1}{8}\). The angle between polarizer \(A\) and \(B\) is:

1 \(30^\circ \)
2 \(45^\circ \)
3 \(60^\circ \)
4 \(0^\circ \)
PHXII10:WAVE OPTICS

367856 A beam of natural light falls on a system of 6 polaroids, which are arranged in succession such that each polaroid is turned through \(30^\circ \) with respect to the preceding one. The percentage of incident intensity that passes through the system will be

1 \(50\% \)
2 \(100\% \)
3 \(12\% \)
4 \(30\% \)
PHXII10:WAVE OPTICS

367857 The polaroids \({P_1},{P_2}\,\,\& \,\,{P_3}\) are arranged coaxially. The angle between \(P_{1}\) and \(P_{2}\) is \(37^{\circ}\). If intensity of emerging light is one quarterth of intensity of unpolarised light then angle between \({P_2}\,\,\& \,\,{P_3}\) is

1 \(\theta=\cos ^{-1}\left(\dfrac{5}{4}\right)\)
2 \(\theta=\cos ^{-1}\left(\dfrac{4}{5}\right)\)
3 \(\theta=\cos ^{-1}\left(\dfrac{4}{5 \sqrt{2}}\right)\)
4 \(\theta=\cos ^{-1}\left(\dfrac{5}{4 \sqrt{2}}\right)\)
PHXII10:WAVE OPTICS

367858 Two beams, \(A\) and \(B\), of plane polarised light with mutually perpendicular planes of polarisation are seen through a polaroid. From the position when the beam \(A\) has maximum intensity (and beam \(B\) has zero intensity), a rotation of Polaroid through \(30^\circ \) makes the two beams appear equally bright. If the initial intensities of the two beams are \({I_A}\) and \({I_B}\) respectively, then \({I_A}{\rm{/ }}{I_B}\) equals:

1 1
2 \(1{\rm{/}}3\)
3 3
4 \(3{\rm{/}}2\)
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PHXII10:WAVE OPTICS

367854 \(n\)' polarizing sheets are arranged such that each makes an angle \(45^{\circ}\) with the preceding sheet. An unpolarized light of intensity \(I\) is incident into this arrangement. The output intensity is found to be \(I/64\) The value of \(n\) will be

1 6
2 3
3 4
4 5
PHXII10:WAVE OPTICS

367855 Unpolarized light of intensity \(I\) passes through an ideal polarizer \(A\). Another identical polarizer \(B\) is placed behind \(A\). The intensity of light beyond \(B\) is found to be \(\frac{1}{2}\). Now another identical polarizer \(C\) is placed between \(A\) and \(B\). The intensity beyond \(B\) is now found to be \(\frac{1}{8}\). The angle between polarizer \(A\) and \(B\) is:

1 \(30^\circ \)
2 \(45^\circ \)
3 \(60^\circ \)
4 \(0^\circ \)
PHXII10:WAVE OPTICS

367856 A beam of natural light falls on a system of 6 polaroids, which are arranged in succession such that each polaroid is turned through \(30^\circ \) with respect to the preceding one. The percentage of incident intensity that passes through the system will be

1 \(50\% \)
2 \(100\% \)
3 \(12\% \)
4 \(30\% \)
PHXII10:WAVE OPTICS

367857 The polaroids \({P_1},{P_2}\,\,\& \,\,{P_3}\) are arranged coaxially. The angle between \(P_{1}\) and \(P_{2}\) is \(37^{\circ}\). If intensity of emerging light is one quarterth of intensity of unpolarised light then angle between \({P_2}\,\,\& \,\,{P_3}\) is

1 \(\theta=\cos ^{-1}\left(\dfrac{5}{4}\right)\)
2 \(\theta=\cos ^{-1}\left(\dfrac{4}{5}\right)\)
3 \(\theta=\cos ^{-1}\left(\dfrac{4}{5 \sqrt{2}}\right)\)
4 \(\theta=\cos ^{-1}\left(\dfrac{5}{4 \sqrt{2}}\right)\)
PHXII10:WAVE OPTICS

367858 Two beams, \(A\) and \(B\), of plane polarised light with mutually perpendicular planes of polarisation are seen through a polaroid. From the position when the beam \(A\) has maximum intensity (and beam \(B\) has zero intensity), a rotation of Polaroid through \(30^\circ \) makes the two beams appear equally bright. If the initial intensities of the two beams are \({I_A}\) and \({I_B}\) respectively, then \({I_A}{\rm{/ }}{I_B}\) equals:

1 1
2 \(1{\rm{/}}3\)
3 3
4 \(3{\rm{/}}2\)
PHXII10:WAVE OPTICS

367854 \(n\)' polarizing sheets are arranged such that each makes an angle \(45^{\circ}\) with the preceding sheet. An unpolarized light of intensity \(I\) is incident into this arrangement. The output intensity is found to be \(I/64\) The value of \(n\) will be

1 6
2 3
3 4
4 5
PHXII10:WAVE OPTICS

367855 Unpolarized light of intensity \(I\) passes through an ideal polarizer \(A\). Another identical polarizer \(B\) is placed behind \(A\). The intensity of light beyond \(B\) is found to be \(\frac{1}{2}\). Now another identical polarizer \(C\) is placed between \(A\) and \(B\). The intensity beyond \(B\) is now found to be \(\frac{1}{8}\). The angle between polarizer \(A\) and \(B\) is:

1 \(30^\circ \)
2 \(45^\circ \)
3 \(60^\circ \)
4 \(0^\circ \)
PHXII10:WAVE OPTICS

367856 A beam of natural light falls on a system of 6 polaroids, which are arranged in succession such that each polaroid is turned through \(30^\circ \) with respect to the preceding one. The percentage of incident intensity that passes through the system will be

1 \(50\% \)
2 \(100\% \)
3 \(12\% \)
4 \(30\% \)
PHXII10:WAVE OPTICS

367857 The polaroids \({P_1},{P_2}\,\,\& \,\,{P_3}\) are arranged coaxially. The angle between \(P_{1}\) and \(P_{2}\) is \(37^{\circ}\). If intensity of emerging light is one quarterth of intensity of unpolarised light then angle between \({P_2}\,\,\& \,\,{P_3}\) is

1 \(\theta=\cos ^{-1}\left(\dfrac{5}{4}\right)\)
2 \(\theta=\cos ^{-1}\left(\dfrac{4}{5}\right)\)
3 \(\theta=\cos ^{-1}\left(\dfrac{4}{5 \sqrt{2}}\right)\)
4 \(\theta=\cos ^{-1}\left(\dfrac{5}{4 \sqrt{2}}\right)\)
PHXII10:WAVE OPTICS

367858 Two beams, \(A\) and \(B\), of plane polarised light with mutually perpendicular planes of polarisation are seen through a polaroid. From the position when the beam \(A\) has maximum intensity (and beam \(B\) has zero intensity), a rotation of Polaroid through \(30^\circ \) makes the two beams appear equally bright. If the initial intensities of the two beams are \({I_A}\) and \({I_B}\) respectively, then \({I_A}{\rm{/ }}{I_B}\) equals:

1 1
2 \(1{\rm{/}}3\)
3 3
4 \(3{\rm{/}}2\)
PHXII10:WAVE OPTICS

367854 \(n\)' polarizing sheets are arranged such that each makes an angle \(45^{\circ}\) with the preceding sheet. An unpolarized light of intensity \(I\) is incident into this arrangement. The output intensity is found to be \(I/64\) The value of \(n\) will be

1 6
2 3
3 4
4 5
PHXII10:WAVE OPTICS

367855 Unpolarized light of intensity \(I\) passes through an ideal polarizer \(A\). Another identical polarizer \(B\) is placed behind \(A\). The intensity of light beyond \(B\) is found to be \(\frac{1}{2}\). Now another identical polarizer \(C\) is placed between \(A\) and \(B\). The intensity beyond \(B\) is now found to be \(\frac{1}{8}\). The angle between polarizer \(A\) and \(B\) is:

1 \(30^\circ \)
2 \(45^\circ \)
3 \(60^\circ \)
4 \(0^\circ \)
PHXII10:WAVE OPTICS

367856 A beam of natural light falls on a system of 6 polaroids, which are arranged in succession such that each polaroid is turned through \(30^\circ \) with respect to the preceding one. The percentage of incident intensity that passes through the system will be

1 \(50\% \)
2 \(100\% \)
3 \(12\% \)
4 \(30\% \)
PHXII10:WAVE OPTICS

367857 The polaroids \({P_1},{P_2}\,\,\& \,\,{P_3}\) are arranged coaxially. The angle between \(P_{1}\) and \(P_{2}\) is \(37^{\circ}\). If intensity of emerging light is one quarterth of intensity of unpolarised light then angle between \({P_2}\,\,\& \,\,{P_3}\) is

1 \(\theta=\cos ^{-1}\left(\dfrac{5}{4}\right)\)
2 \(\theta=\cos ^{-1}\left(\dfrac{4}{5}\right)\)
3 \(\theta=\cos ^{-1}\left(\dfrac{4}{5 \sqrt{2}}\right)\)
4 \(\theta=\cos ^{-1}\left(\dfrac{5}{4 \sqrt{2}}\right)\)
PHXII10:WAVE OPTICS

367858 Two beams, \(A\) and \(B\), of plane polarised light with mutually perpendicular planes of polarisation are seen through a polaroid. From the position when the beam \(A\) has maximum intensity (and beam \(B\) has zero intensity), a rotation of Polaroid through \(30^\circ \) makes the two beams appear equally bright. If the initial intensities of the two beams are \({I_A}\) and \({I_B}\) respectively, then \({I_A}{\rm{/ }}{I_B}\) equals:

1 1
2 \(1{\rm{/}}3\)
3 3
4 \(3{\rm{/}}2\)