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1.6 Derive the formulas Ug = u-1 and 1_1_do dn ug u o dio where u,...
Where do I even begin with this? 1. pero el reconocer sin[_(A+D)).. 10. Derive the index...
Where do I even begin with this?
1. pero el reconocer sin[_(A+D)).. 10. Derive the index of refraction of a prism to be n = %, where A is the apex angle of the prism and D is "+ sin(4) the angle of minimum deviation, as shown in the figure.
1) A beam of light, having a free transparent block with the angle o, as shown....
1) A beam of light, having a free transparent block with the angle o, as shown. The speed of light in the block is 3 thst of uency o( X 1014 Hzn vacuum, enters the rectangular light in a vacuum n) What is the index of refraction for this transparent material b) What is the wavelength of the light within the transparent block?n c) If the entrance angle ? shown is the from the horizontal surface of the block, what...
(a) Briefly explain what is meant by the following terms: refraction, refractive index, angle of incidence,...
(a) Briefly explain what is meant by the following terms: refraction, refractive index, angle of incidence, angle of refraction. [4 marks] (b) The drawing shows four different situations in which a light ray is traveling from one medium into another. In some of the cases, the refraction is not shown correctly. For cases (i), (ii), and (iii), the angle of incidence is 55°; for case (iv), the angle of incidence is 0°. Identify which cases are incorrectly drawn and determine...
1) Two parallel beams of light are brought together on a surface. Each beam has wave length h-500...
1) Two parallel beams of light are brought together on a surface. Each beam has wave length h-500 nm and intensity 1 W/m at the surface. What is the resultant intensity for each of the following path lengths or phase differences between the beams? Phase or path length difference Intensity (W/m) 0 radians (phase) T/2 radians (phase) 60 degrees (phase) 3π radians (phase) 300 nm (path length) 1000 nm (path length) 5.5 λ (path length) 2) A wave of wavelength...
Consider the following ODE dN + N = u(t-1) - uſt - 3) with initial condition...
Consider the following ODE dN + N = u(t-1) - uſt - 3) with initial condition N(0) = 0, where u is the unit step function. Sketch the function on the right-hand side of the ODE. Now use a Laplace Transform to solve the IVP. Sketch your solution for N(t).
24 pts. Phase and group velocity of a plasma. The permittivity ε of a plasma (ionized gas) is a f...
24 pts. Phase and group velocity of a plasma. The permittivity ε of a plasma (ionized gas) is a function of frequency given by: I. Eo where co is radian frequency and o the "plasma frequency", which is assumed to be a constant related to the properties of the ionized gas. (a) 6 pts. Given the relation above, write an expression for the phase velocity in a plasma. (Assume μ-,-1). (b) 2 pts. Write an expression for the magnitude of...
a better picture of the questions I need answered. 1. Use the protractor to measure the...
a better picture of the questions I need answered.
1. Use the protractor to measure the incident angle at the dispersion interface 0i, as well as the dispersion angles 0, for red light and 68 for blue light as seen in Figure C7. Record measurements below for all angles in terms of degrees (). Ai = 20° A = 27° θε 29° 2. Based on the two different dispersion angles of red light and blue light, which color traveled faster...
ㆍ 2 Consider the Laplace equation for a ball of radius R described in spherical coordinates (r,0) 2 urrt r cot ug=0...
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2 Consider the Laplace equation for a ball of radius R described in spherical coordinates (r,0) 2 urrt r cot ug=0, uee 7:2 where is the zenith angle and assume u is independent on the azirnuth angle o. a) By separation of variables, derive two ordinary differential equations of r and w=Cos given by r2 F(r)2r F(r)-n(n+ 1)F(r) 0, (1- w2)G (w)- 2wG (w)n(n +1)G(w) 0. (n 0,1,2,.) b) Find Fn (r) and Gn (w) satisfying Gn(1) =1 for...
24 pts. Phase and group velocity of a plasma. The permittivity ε of a plasma (ionized...
24 pts. Phase and group velocity of a plasma. The permittivity ε of a plasma (ionized gas) is a function of frequency given by: I. Eo where co is radian frequency and o the "plasma frequency", which is assumed to be a constant related to the properties of the ionized gas. (a) 6 pts. Given the relation above, write an expression for the phase velocity in a plasma. (Assume μ-,-1). (b) 2 pts. Write an expression for the magnitude of...
The focal length of a lens is inversely proportional to the quantity (n−1), where n is...
The focal length of a lens is inversely proportional to the quantity (n−1), where n is the index of refraction of the lens material. The value of n, however, depends on the wavelength of the light that passes through the lens. For example, one type of flint glass has an index of refraction of nr=1.572 for red light and nv= 1.615 in violet light. Now, suppose a white object is placed 21.50 cm in front of a lens made from...
Where do I even begin with this?
1. pero el reconocer sin[_(A+D)).. 10. Derive the index of refraction of a prism to be n = %, where A is the apex angle of the prism and D is "+ sin(4) the angle of minimum deviation, as shown in the figure.
1) A beam of light, having a free transparent block with the angle o, as shown. The speed of light in the block is 3 thst of uency o( X 1014 Hzn vacuum, enters the rectangular light in a vacuum n) What is the index of refraction for this transparent material b) What is the wavelength of the light within the transparent block?n c) If the entrance angle ? shown is the from the horizontal surface of the block, what...
(a) Briefly explain what is meant by the following terms: refraction, refractive index, angle of incidence, angle of refraction. [4 marks] (b) The drawing shows four different situations in which a light ray is traveling from one medium into another. In some of the cases, the refraction is not shown correctly. For cases (i), (ii), and (iii), the angle of incidence is 55°; for case (iv), the angle of incidence is 0°. Identify which cases are incorrectly drawn and determine...
1) Two parallel beams of light are brought together on a surface. Each beam has wave length h-500 nm and intensity 1 W/m at the surface. What is the resultant intensity for each of the following path lengths or phase differences between the beams? Phase or path length difference Intensity (W/m) 0 radians (phase) T/2 radians (phase) 60 degrees (phase) 3π radians (phase) 300 nm (path length) 1000 nm (path length) 5.5 λ (path length) 2) A wave of wavelength...
Consider the following ODE dN + N = u(t-1) - uſt - 3) with initial condition N(0) = 0, where u is the unit step function. Sketch the function on the right-hand side of the ODE. Now use a Laplace Transform to solve the IVP. Sketch your solution for N(t).
24 pts. Phase and group velocity of a plasma. The permittivity ε of a plasma (ionized gas) is a function of frequency given by: I. Eo where co is radian frequency and o the "plasma frequency", which is assumed to be a constant related to the properties of the ionized gas. (a) 6 pts. Given the relation above, write an expression for the phase velocity in a plasma. (Assume μ-,-1). (b) 2 pts. Write an expression for the magnitude of...
a better picture of the questions I need answered.
1. Use the protractor to measure the incident angle at the dispersion interface 0i, as well as the dispersion angles 0, for red light and 68 for blue light as seen in Figure C7. Record measurements below for all angles in terms of degrees (). Ai = 20° A = 27° θε 29° 2. Based on the two different dispersion angles of red light and blue light, which color traveled faster...
ㆍ
2 Consider the Laplace equation for a ball of radius R described in spherical coordinates (r,0) 2 urrt r cot ug=0, uee 7:2 where is the zenith angle and assume u is independent on the azirnuth angle o. a) By separation of variables, derive two ordinary differential equations of r and w=Cos given by r2 F(r)2r F(r)-n(n+ 1)F(r) 0, (1- w2)G (w)- 2wG (w)n(n +1)G(w) 0. (n 0,1,2,.) b) Find Fn (r) and Gn (w) satisfying Gn(1) =1 for...
24 pts. Phase and group velocity of a plasma. The permittivity ε of a plasma (ionized gas) is a function of frequency given by: I. Eo where co is radian frequency and o the "plasma frequency", which is assumed to be a constant related to the properties of the ionized gas. (a) 6 pts. Given the relation above, write an expression for the phase velocity in a plasma. (Assume μ-,-1). (b) 2 pts. Write an expression for the magnitude of...
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