Light is incident upon air-water interface (n=1.33). Calculate the Brewster and critical angles for both internal and external reflections. In each case, distinguish between polarization modes. Calculate the reflectance and transmittance of water (as seen from air) for both TE and TM polarizations with the angles of incidence are 0, 45 and 90 degrees. Explain your findings. Calculate the reflectance and transmittance of air(as seen from water for both TE and TM polarizations with the angles of incidence are 0, 45 and 90 degrees. Explain your findings.
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How can I see that the the luminosity of the sun is 3.828×1026 W by looking at the HR diagram?
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Consider a black body of surface area 20.0 cm^2 and temperature
5 000 K. (a) How much power does it radiate?
(b) At what wavelength does it radiate most intensely?
Find the spectral power per wavelength interval at
(c) this wavelength and at wavelengths of (d) 1.00 nm
(an x- or gamma ray), (e) 5.00 nm (ultraviolet light
or an x-ray), (f) 400 nm (at the boundary between
UV and visible light), (g) 700 nm (at the boundary
between visible and infrared light), (h) 1.00 mm
(infrared light or a microwave), and (i) 10.0 cm (a
microwave or radio wave). ( j) Approximately how much
power does the object radiate as visible light?
PLEASE answer all parts!
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Three particles A, B, and C with masses mA=2mB=mC are arranged (in that order) in a straight line. Initially, B and C are at rest a distance L apart, and A is projected towards B with speed vA. The particles then undergo elastic head‐on collisions.
SHOW THAT:
a)for any elastic head‐on collision, the relative speed of the two objects after the collision has the same magnitude (but opposite direction) as before the collision: ? vA-vB=-(vfA-vfB) ... (f for final/after collision)
b)A and B collide twice and that the time interval between these two collisions is ∆?t=12L/7vA
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Question 5 a. Explain why liquids in a container have a meniscus. Include a discussion of all relevant forces in your answer and give examples of different forms of meniscus. [4 marks] b. i. 50 cm3 of water flows through a pipe of radius 1 cm every second. If the pressure gradient is maintained what diameter pipe is required to double the flow rate? [1 mark] ii. What is the average flow speed in each case in b(i) above? [2 marks] iii. What is the pressure gradient in the pipe? Assume water has a viscosity of 1.0x10-3 Pa s) [2 marks] iv. The original pipe branches into 5 smaller pipes of 3 mm diameter. What is the flow speed through one of the smaller pipes? [2 marks] c. A bubble of air is observed to have a diameter of 2 cm when at a depth of 1.5 m in a swimming pool. What is the total pressure of air inside the bubble? The surface tension of water is 0.073 N m-1 and the density of water is 1000 kg m-3 . [2 marks] d. Explain the differences between the terms Elastic Limit, Compressive Limit, Tensile Strength and Compressive Strength. [3 marks] e. Explain the process of cavitation and give an example of its occurrence. [4 marks]
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A ball, which is initially at rest, starts rotating around a fixed point. The ball has a constant angular acceleration. You need to know that the radial acceleration of the ball aradarad is proportional to ball's angular displacement θ
Find the angular displacement of the ball if its resultant acceleration makes an angle of 40 ∘ with the radial direction?
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You must provide a brief description of the obstacle you design, highlighting the physical concepts involved and explicitly stating the relevant formulas that are at work. If there’s a specific strategy that would be most effectively for completing the obstacle, include a description of it. Using: Rotation Thank you so much.
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A small block with mass 1.50 kgkg is placed against a light spring that is compressed 0.250 mm. The spring has force constant 50.0 N/mN/m . The block and spring are released from rest, and the block travels along a horizontal surface for which the coefficient of kinetic friction between the block and surface is μkμk = 0.500. When the block has moved 0.250 mm and the spring has reached its equilibrium length, the block loses contact with the spring.
Find the speed of the block at the instant when it leaves the spring?
Calculate the maximum speed of the block during its motion?
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Algunos espejos nos dan imágenes reales, virtuales, más grandes, más pequeñas, dependiendo de donde se ubiquen los objetos y de las características del espejo. La amplificación de cierto espejo es 2.5 para algún objeto de 3.0 cm de alto, que está alejado 10 cm del espejo.
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2a. Confirm that the position and momentum, p=-ℏ ∂/∂x, operators do not commute.
2b. Show how the statement above limits the ability for a state that to be both an eigenstate of position and momentum concurrently.
2c. For an eigenstate where the momentum is zero, show that x than p leads to a result, xp, that is different than that of p then x.
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Calculate how far apart an electron and a proton would have to be for their electric force to be equal in magnitude to their gravitational force in a hydrogen atom (a distance of 52.9pm). Give the answer in meters. Then convert meters to light-years given that the speed of light is 2.998*108 m/s and a year is approximately 365.2421 days, and a light year is the distance light travels in one year.
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Using the wave functions
| ψ0(x) = A'eik0x + B'e−ik0x | x < 0 | |
| ψ1(x) = C'eik1x + D'e−ik1x | x > 0 |
for the potential energy step, apply the boundary conditions of ψ and
dψ/dx
to find B' and C' in terms of A', for the potential step when particles are incident from the negative x direction. Evaluate the reflection and transmission coefficients
R=
| |B'|2 |
| |A'|2 |
and
T=
| k1|C'|2 |
| k0 |A'|2 |
.
( k0=42 and k1=12)
| B' | = ? A' | ||||
| C' | = ? A' | ||||
R=
|
= ? | ||||
T=
|
= ? | ||||
|
R+T |
= ? |
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It is given that M = 185 kg and R = 1.65 m. What if an inner solid cylinder is cut out from it, with a radius of (1/2)R?
a) What is the moment of inertia around the central axis (as in the example) of this inner cylinder?
b) What is the moment of inertia of the remaining hollow cylinder around the same axis? (Notice that all answers are independent of the length L.)
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Two charges, +9 µC and +15 µC, are fixed 1 m apart, with the second one to the right. Find the magnitude and direction of the net force (in N) on a −8 nC charge when placed at the following locations.
(a)
halfway between the two
magnitude ______________ N
(b)
half a meter to the left of the +9 µC charge
magnitude __________ N
(c)
half a meter above the +15 µC charge in a direction perpendicular to the line joining the two fixed charges (Assume this line is the x-axis with the +x-direction toward the right. Indicate the direction of the force in degrees counterclockwise from the +x-axis.)
magnitude__________ N
direction____________ ° counterclockwise from the +x-axis
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A -3.00 nC point charge is at the origin, and a second -5.50 nC point charge is on the x-axis at x = 0.800 m.
Q1: Find the net electric force that the two charges would exert on an electron placed at point on the x-axis at x = 0.200 m.
Q2: Find the net electric force that the two charges would exert on an electron placed at point on the x-axis at x = 1.20 m.
Q3: Find the net electric force that the two charges would exert on an electron placed at point on the x-axis at x = -0.200 m.
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