A beam of light polarized along the y axis and moving along the +z axis passes through two polarizing sheets with axes of polarization oriented 30° and 70° measured clockwise from the positive direction of the y axis. The final intensity of the beam is found to be 61 W/m². What is the initial beam intensity? (1) 280 W/m² (2) 700 W/m² (3) 200 W/m² (4) 50 W/m² (5) 140 W/m²

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter37: Diffraction Patterns And Polarization
Section: Chapter Questions
Problem 52CP: In Figure P37.52, suppose the transmission axes of the left and right polarizing disks are...
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10. A beam of light polarized along the y axis and moving along the +z axis passes through two polarizing sheets with axes
of polarization oriented 30° and 70° measured clockwise from the positive direction of the y axis. The final intensity of
the beam is found to be 61 W/m². What is the initial beam intensity?
(1) 280 W/m²
(2) 700 W/m²
(3) 200 W/m²
11. Light of wavelength 520 nm is incident perpendicularly on a diffraction grating having 200 lines/mm. What is the highest
order for which a sharp maximum occurs?
(1) 9
(2) 11
(1) 0.5 V
12. Three long straight wires run perpendicular to the plane of the page and carry currents in the
directions indicated in the figure. Wire 1 passes the y axis of the plane at y = 1.5 m, wire 2 goes
through the origin, and wire 3 passes the x axis at x = 1.5 m. If the magnitudes of the currents
in wires 1, 2, and 3 are i1 = 1.0 A, 12 = 2.0 A and i3 = 3.0 A, respectively, what is the magnitude
of the vertical component of the force per unit length on wire 3 due to the other two wires?
(1) 3.0 N/m
(2) 40 uN/m
(3) 200 nN/m
13. The circuit shows four capacitors with capacitances C₁ = 2C3 = 4C4 = 20 μF.
The energy stored on C2 is 5 μJ and the charge on Q1 = 20 μC. What potential
Q₁
difference AV is applied to the circuit?
(1) 45°
(3) 7
(2) 1 V
(1) 305 kV
(2) 631 kV
(3) 180 kV
(4) 50 W/m²
15. A glass prism (n = 1.5) is coated with 3 parallel stacks of alternating layers of
high (n₁ = 1.90) and low index (n2 = 1.30) material, each having a thickness
of 250 nm. If a laser beam travelling first in vacuum (n=1) hits the first layer
under an angle of 1 = 45° (see figure), what is the angle o2 of the beam inside
the prism?
(4) 81 kV
(5) 413 kV
(3) 5 V
(2) 28°
(4) 8
(3) 35°
(4) 80 N/m
(4) 3 V
ΔΙ
(4) 0.4 mm
n=1
16. Twelve charges are arranged in a clock like pattern. All charges are positive and range
from 1 μC to 12 μC as shown in the figure. The radius of the clock is r = 1.7 m.
What is the electric potential at the center? Assume V = 0 at infinity.
$1
14. Estimate the linear separation of two objects that the human eye can resolve at a distance of 1 meter. Take the diameter
of the pupil to be 5 mm, and the wavelength of the light to be 420 nm.
(1) 0.5 mm
(2) 0.2 mm
(3) 0.1 mm
(4) 15⁰
10µC
C23
9μCO
8μC
(5) 140 W/m²
n1n2 n1n2 n1 n2
11µC
YA
X1
7μC
X
2
(5) 5
(5) 10 nN/m
3
бис
C3 C4
(5) 1.5 V
(5) 0.3 mm
12мс 1uC
n=1.5
Ø2
(5) 67°
2μC
SµC
1.7
3µC
4µC
Transcribed Image Text:10. A beam of light polarized along the y axis and moving along the +z axis passes through two polarizing sheets with axes of polarization oriented 30° and 70° measured clockwise from the positive direction of the y axis. The final intensity of the beam is found to be 61 W/m². What is the initial beam intensity? (1) 280 W/m² (2) 700 W/m² (3) 200 W/m² 11. Light of wavelength 520 nm is incident perpendicularly on a diffraction grating having 200 lines/mm. What is the highest order for which a sharp maximum occurs? (1) 9 (2) 11 (1) 0.5 V 12. Three long straight wires run perpendicular to the plane of the page and carry currents in the directions indicated in the figure. Wire 1 passes the y axis of the plane at y = 1.5 m, wire 2 goes through the origin, and wire 3 passes the x axis at x = 1.5 m. If the magnitudes of the currents in wires 1, 2, and 3 are i1 = 1.0 A, 12 = 2.0 A and i3 = 3.0 A, respectively, what is the magnitude of the vertical component of the force per unit length on wire 3 due to the other two wires? (1) 3.0 N/m (2) 40 uN/m (3) 200 nN/m 13. The circuit shows four capacitors with capacitances C₁ = 2C3 = 4C4 = 20 μF. The energy stored on C2 is 5 μJ and the charge on Q1 = 20 μC. What potential Q₁ difference AV is applied to the circuit? (1) 45° (3) 7 (2) 1 V (1) 305 kV (2) 631 kV (3) 180 kV (4) 50 W/m² 15. A glass prism (n = 1.5) is coated with 3 parallel stacks of alternating layers of high (n₁ = 1.90) and low index (n2 = 1.30) material, each having a thickness of 250 nm. If a laser beam travelling first in vacuum (n=1) hits the first layer under an angle of 1 = 45° (see figure), what is the angle o2 of the beam inside the prism? (4) 81 kV (5) 413 kV (3) 5 V (2) 28° (4) 8 (3) 35° (4) 80 N/m (4) 3 V ΔΙ (4) 0.4 mm n=1 16. Twelve charges are arranged in a clock like pattern. All charges are positive and range from 1 μC to 12 μC as shown in the figure. The radius of the clock is r = 1.7 m. What is the electric potential at the center? Assume V = 0 at infinity. $1 14. Estimate the linear separation of two objects that the human eye can resolve at a distance of 1 meter. Take the diameter of the pupil to be 5 mm, and the wavelength of the light to be 420 nm. (1) 0.5 mm (2) 0.2 mm (3) 0.1 mm (4) 15⁰ 10µC C23 9μCO 8μC (5) 140 W/m² n1n2 n1n2 n1 n2 11µC YA X1 7μC X 2 (5) 5 (5) 10 nN/m 3 бис C3 C4 (5) 1.5 V (5) 0.3 mm 12мс 1uC n=1.5 Ø2 (5) 67° 2μC SµC 1.7 3µC 4µC
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