724
15 Optics
15.2.6 Polarization
15.65 The values of refractive indices for ordinary and extraordinary rays n o and n e
for calcite are 1.642 and 1.478, respectively. Calculate the phase retardation
for λ = 6000 Å with the plate thickness 0.04 mm.
[Kakatiya University 2003]
15.66 Two polarizing sheets have their polarizing directions parallel. Determine the
angle by which either sheet must be turned so that the intensity falls to half
of its value?
15.67 Sun rays incident obliquely on a pond are completely polarized by reflection.
Find the elevation of the sun (in degrees) above the horizon.
15.68 Light is incident from water (μ = 1.33) on the glass (μ = 1.5). Find the
polarizing angle for the boundary separating water and glass.
15.69 What is the minimum thickness of a quarter wave plate if the material has
μ 0 = 1.553 and μ e = 1.544 at a wavelength of 6000 Å.
[Andhra University 2003]
15.70 A tube 20 cm long containing sugar solution rotates the plane of polarization
through an angle of 13.2 ◦ If the specific rotation is 66 ◦ , find the amount of
sugar present in a litre of the solution.
[Osmania University 2003]
15.71 A system of three polarizing sheets intercept a beam of initially unpolarized light. The polarizing direction of the first sheet is parallel to the yaxis, that of the second sheet is at an angle of θ counterclockwise from
the y-axis and that of the third sheet is parallel to the x-axis. The intensity of light emerging from the three-sheet system is 11.52% of the original
intensity I 0 . Determine the angle θ . In which direction is the emerging light
polarized?
15.72 Describe briefly how a linear polarizer produces polarized light from an incident unpolarized beam. Is the transmission axis of a pair of polaroid sunglasses usually oriented horizontally or vertically for an observer standing
upright and why is this?
What is a Brewster window? Calculate the inclination of a Brewster window
with refractive index n = 1.5 in a laser cavity in which the gaseous medium
has a refractive index n = 1.0.
[Durham University]
15 Optics
15.2.6 Polarization
15.65 The values of refractive indices for ordinary and extraordinary rays n o and n e
for calcite are 1.642 and 1.478, respectively. Calculate the phase retardation
for λ = 6000 Å with the plate thickness 0.04 mm.
[Kakatiya University 2003]
15.66 Two polarizing sheets have their polarizing directions parallel. Determine the
angle by which either sheet must be turned so that the intensity falls to half
of its value?
15.67 Sun rays incident obliquely on a pond are completely polarized by reflection.
Find the elevation of the sun (in degrees) above the horizon.
15.68 Light is incident from water (μ = 1.33) on the glass (μ = 1.5). Find the
polarizing angle for the boundary separating water and glass.
15.69 What is the minimum thickness of a quarter wave plate if the material has
μ 0 = 1.553 and μ e = 1.544 at a wavelength of 6000 Å.
[Andhra University 2003]
15.70 A tube 20 cm long containing sugar solution rotates the plane of polarization
through an angle of 13.2 ◦ If the specific rotation is 66 ◦ , find the amount of
sugar present in a litre of the solution.
[Osmania University 2003]
15.71 A system of three polarizing sheets intercept a beam of initially unpolarized light. The polarizing direction of the first sheet is parallel to the yaxis, that of the second sheet is at an angle of θ counterclockwise from
the y-axis and that of the third sheet is parallel to the x-axis. The intensity of light emerging from the three-sheet system is 11.52% of the original
intensity I 0 . Determine the angle θ . In which direction is the emerging light
polarized?
15.72 Describe briefly how a linear polarizer produces polarized light from an incident unpolarized beam. Is the transmission axis of a pair of polaroid sunglasses usually oriented horizontally or vertically for an observer standing
upright and why is this?
What is a Brewster window? Calculate the inclination of a Brewster window
with refractive index n = 1.5 in a laser cavity in which the gaseous medium
has a refractive index n = 1.0.
[Durham University]
