10. A beam of light polarized along the y axis and moving along the +z axis passes through two polarizing sheets with axesof polarization oriented 30° and 70° measured clockwise from the positive direction of the y axis. The final intensity ofthe 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/m²11. Light of wavelength 520 nm is incident perpendicularly on a diffraction grating having 200 lines/mm. What is the highestorder for which a sharp maximum occurs?(1) 9(2) 11(1) 0.5 V12. Three long straight wires run perpendicular to the plane of the page and carry currents in thedirections indicated in the figure. Wire 1 passes the y axis of the plane at y = 1.5 m, wire 2 goesthrough the origin, and wire 3 passes the x axis at x = 1.5 m. If the magnitudes of the currentsin wires 1, 2, and 3 are i1 = 1.0 A, 12 = 2.0 A and i3 = 3.0 A, respectively, what is the magnitudeof 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/m13. 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 potentialQ₁difference 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/m²15. A glass prism (n = 1.5) is coated with 3 parallel stacks of alternating layers ofhigh (n₁ = 1.90) and low index (n2 = 1.30) material, each having a thicknessof 250 nm. If a laser beam travelling first in vacuum (n=1) hits the first layerunder an angle of 1 = 45° (see figure), what is the angle o2 of the beam insidethe prism?(4) 81 kV(5) 413 kV(3) 5 V(2) 28°(4) 8(3) 35°(4) 80 N/m(4) 3 VΔΙ(4) 0.4 mmn=116. Twelve charges are arranged in a clock like pattern. All charges are positive and rangefrom 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.$114. Estimate the linear separation of two objects that the human eye can resolve at a distance of 1 meter. Take the diameterof 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) 15⁰10µCC239μCO8μC(5) 140 W/m²n1n2 n1n2 n1 n211µCYAX17μCX2(5) 5(5) 10 nN/m3бисC3 C4(5) 1.5 V(5) 0.3 mm12мс 1uCn=1.5Ø2(5) 67°2μCSµC1.73µC4µC

Note:- “Since you have asked multiple questions, we will solve the first question for you. If you…

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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The following considers electromagnetic wave propagating in free-space (without charges or currents). (a) State the Maxwell's equations in terms of E and H for the free-space. (b) Should that the four equations are satisfied by: E = Eo cos (w²-t)) x Eo H = COS CHO for some constants Eo and co, where c is the speed of light in free-space. s(w (²-t))ỹ
Q: An AM radio signal propagating in free space has: E = Eo sin(1200πt - βz)ax H= (Eo / η)*sin(1200πt- βz)az Express these in phasor form and detrmine β and η such that the fields Satisfy Maxwell’s equations.
The magnetic field B(z,t)of an electromagnetic wave is given by B(z,t) = [(9.15 x 10-9T) jsin(3.25 × 104rad/m)z + wt]. O What is the wave number of the wave? (ii) What is the frequency of the wave? (iii) Write the vector equation for electric field. O a. (i) k = 3.25 × 10°rad/m (ii)f = 1.55 x 1012HZ (iii) Ē = +(2.75V/m)sin((3.25 x 10°rad\m)z+ (9.74 x 1012 )t)k O b. (i) k = 3.25 x 10°rad/m (ii)f = 1.55 x 101ºHZ (iii) Ē = -(2.75V/m)sin((3.25 × 10°rad\m)z + (9.74 x 1012 )t)3 O . (i) k = 3.25 x 10ʻrad/m (ii)f =1.55 x 10"Hz (ii) E = +(2.75V/m)sin((3.25 x 10ʻrad\m)z+ (9.74 x 1012 )t)k O d. (i) k = 3.25 × 10ʻrad/m (ii)f = 1.55 x 10" Hz (iii) Ē = –(2.75V/m)sin((3.25 x 10ʻrad\m)r+ (9.74 x 10)t)j O e. (i) k = 3.25 x 10ʻrad/m (ii)f = 1.55 x 101ºHZ (iii) Ē = +(2.75V/m)sin((3.25 x 10ʻrad\m)z + (9.74 x 102)t)k
A sinusoidal electromagnetic wave propagates in the +x direction through empty space. Its electric field is described by E = (3.56E4 V/m) × sin ((2.06E11 rad/s) t – (687 rad/m) x ) . What is the magnitude of momentum density (momentum per volume) of this electromagnetic wave (in kg/s·m2)?
An electromagnetic wave with a frequency of 4.72 x 1014 Hz has a speed of 1.71 x 108 m/s when it travels through a medium. What is the index of refraction of that medium?
What is the intensity in W/m2 of a laser beam used to burn away cancerous tissue that puts 374 J of energy into a circular spot 2.00 mm in diameter in 4.67 s? Compare this to the average intensity of sunlight (about 700 W/m2). answer blank times 10^7
Optical tweezers use light from a laser to move single atoms and molecules around. Suppose the intensity of light from the tweezers is 1000 W/m², the same as the intensity of sunlight at the surface of the Earth. (a) What is the pressure on an atom if light from the tweezers is totally absorbed? Pa (b) If this pressure were exerted on a tritium atom, what would be its acceleration? (The mass of a tritium atom is 5.01 x 107 -27 kg. Assume the cross-sectional area of the laser beam is 6.65 x 10-2⁹ m².) m/s²
Assume the mostly infrared radiation from a heat lamp acts like a continuous wave with wavelength 1.50 µm. (a) If the lamp's 205 W output is focused on a person's shoulder, over a circular area 24.0 cm in diameter, what is the intensity in W/m2? 2266.9 W/m2 (b) What is the peak electric field strength in kV/m? 0.924 X kV/m (c) Find the peak magnetic field strength in µT. 3.08 X µT (d) How long will it take in seconds to increase the temperature of the 3.80 kg shoulder by 2.00°C, assuming no other heat transfer and given specific heat is 3.47 x 103 J/(k • °C)? 128.64
An electromagnetic wave has an electric field given by E(z, t) = (2.98 x 105 V/m)î cos [kz – (12.65 × 10-12 rad/s) t] What is the wavelength, frequency, and direction of propagation of the wave? f 12.65 × 1012 Hz Propagation -i direction 2.98 x 10° m 1.49 x 10-4 m 2.01 × 1012 Hz +i direction -k direction b 2.98 x 105 m 12.65 × 1012 Hz d 1.49 x 10 2.01 × 1012 Hz +k direction m О А. а ОВ. Ь О С. С O D. d
An electromagnetic wave of frequency 3.2×1014 Hz falls on a medium of refractive index 4.1. The speed of E-M waves in vacuum is 3×108 m/s. The wavelength of the E-M wave in vacuum, λ0 = Unit . The speed of the E-M wave in the medium, v = Unit . The wavelength of the E-M wave in the medium, λ = Unit . If the incident wave falls from air and the angle of incidence is 17.5°, what is the angle of refraction? The angle of refraction, θr = Unit
Initially unpolarized light is sent along the z-axis into a system of three polarizing sheets placed perpendicular to the z-axis and whose polarizing angles with respect to y-axis are 22º (first sheet), 89º (second sheet), and 56º (the last sheet). What percentage of the initial light intensity is transmitted by the system? Express your answer as a percentage, to at least one digit after the decimal.
use appropriate formula.