Vu = 0, 0
Q: What is the critical angle for the interface between material 1 (n=1.58) and material 2 (n=1.30)?
A: The refractive index of material 1 is, n1=1.58 The refractive index of material 2 is, n2=1.30
Q: Show that if f(x) = Ac* where A and k are real constants, then f(x) satisfies: %3D d² f(x) + k° f(x)…
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Q: Ql: Show that: sin e sin o -cos e cos o cos e sin o -sin e cos o A, A, A. sin 0 cos o Cos A A %3D…
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Q: For the following configuration, V, =44 V, R, =2 k2, R,=9 , R3=46 and kN. Vo = ... V R4= 24 R2 R1
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Q: Let: A = 423 units @ 50.6 degrees %3D B = 211 units @ 10.2 degrees If C= A + B
A: VVEV Vector addition…
Q: Problem # Calculate the matrix representation of the operators L,,L.,L,and L, in case l = 1 Hint :…
A: For l=1 The value of the orbital magnetic quantum number is ml=1, 0, -1 Thus, the possible basis…
Q: Let å = 4î – 53 – 4k and b = 4î + 5j + 2k. %3D %3D Find b x d. V.
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Q: 14 Find the eigenvalues of the matrix A = %3D 23
A: A=1423 So for eigenvalue, we have to calculate; DetA-λI=0…
Q: Example:- Find T for the plane curve R(t) = (cost +t sin t)i + (sint – t cos t)j,t>0 %3D
A: R(t)=cos t+tsin t i+sin t-t cos tjThe unit tangent vector T is given byT=R'(t)r'(t)r'(t)=dRdt=dcos…
Q: (Homework)( Please explain in detail)
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Q: Ex. 9. Using 2 J/2 (x) = V 2 sin x, J-1/2 (x) = V TIX cos x TIX 2n and Jn (x) = Jn-1 (x) + Jn +1 (x)…
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Q: minimum when the angle between the magnetic moment and magnetic field is (h) 30°
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Q: 4. Given vectors A, B, and C below: B (80.0 N) 30.00 Å (100.0 N) 30.0° 53.0°O (iii) Find E where E =…
A: Given, Three vectors
Q: What would be considered true for the given two vectors attached in the image?a.) Result of scalar…
A: Step 1: Step 2: Step 3: Step 4:
Q: 3. Find the angles e, 8, and Y that the vector M= 40 +3.0j + 5.0 k makes with x, Y and z axes. Draw…
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Q: 3 in. 6 in. 6 in. 6 in. 6 in. X PROBLEM 1 Locate the centroid of the plane area shown.
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Q: Proove the follow commutators: (a) [L,x] = ihy (b) [L„,Þy] = -ihpx %3D
A: We know that the operator representing x component of the angular momentum is given by Lz=xpy-ypx…
Q: Radius is given by R(z) = 10,1 %3D 15 Using cylindrical polar coordinates, calculate the volume,…
A: here the volume required is in cylindrical co-ordinateswhere R(z)=10…
Q: 3. (a) Given J₁1, J₂ = 1, J = J₁ + J₂. Find Clebsch-Gordon coefficients = (b) Runge-Lenz vector is…
A: 3. Solution: a). For any two particles the following pieces of information are given: j1=1 and…
Q: Evaluate the surface integral /| (2xzdydz + ydzdx + z?dxdy) where S is a closed surface, given by S:…
A: Given:I = ∯S 2 xz dy dz + y x dx dz+…
Q: Determine whether the statement is true or false. If f is differentiable, then O True O False √f(x)…
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Q: Use MATLAB's fminbnd() function to find the maxima and minima of the following functions and graph…
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Q: Show that the function given by f(x) 3x + 17 is strictly increasing on R.
A: Given: The function is f(x) = 3 x + 17
Q: For A = x āx + y āy + z āz and B = 2x āx + 3y āy + 4z āz Find the following a) C = Ā×B b) at (1,2,3)…
A: The cross product of two vectors is given by The dot product of two vectors is given by
Q: prove that v.j = 0 V. Ả = B V²Ã = HoJ %3D with equation Ho Ã(r') = 4T %3D
A: The electric field is a vector quantity which means it has both magnitude and directions to it. The…
Q: 9. Show that the following functions are entire (see Definition 3.1). (a) S (2) = cosh z sin y-i…
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Q: Two vectors are given as follows A = -3i + 6j - 5k and B = -2i + 3j + k. What is the difference…
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Q: If S surface is closed and that : A=ix+jk+kz prove that: 2.E = spv| where t is the volume enclosed…
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Q: need help
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Q: 2s2+3s-4 1. F(s) = (s-2)(s2+2s+2) 1 2. F(s)= s(s2+1)
A: 1. f(s)=(2s2+3s-4)/(s-2)(s2+2s+2) lets split the term into two (2s2+3s-4)/(s-2)(s2+2s+2) = A/(s-2)…
Q: 2. Find the projection of P on Q, y = 30°,0 = 30°. +y Q = (30,30√3) N Y 0 P = (25√3, 25) N +x
A: Since you have posted multiple questions, we will provide the solution only to the first question as…
Q: Determine the coordinate of a 3D point P(100.0, -60.0, 80.0) after rotating 60 degree across…
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Q: thank you but can you write in pen please i got a little confused after u=P^xR^yG^z thank you
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Q: A = 38+ 9 and B= 28- 59? What is the cross product of A and B given that
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