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Due to the multipleness of this problem, I am offering more points than a normal Physics question. I can repost question again for additional points.
Starting from the definition of the spherical harmonics in terms of Legendre polynomials, derive Y30(θ,φ), Y31(θ,φ), and Y32(θ,φ). Write down the differential operators corresponding to the L2 and Lz operators in spherical coordinates. By explicitly acting these operators on the spherical Harmonics check that spherical Harmonics are indeed eigen states of the L2 and Lz operators. What are their eigen values? Are these values consistent with what you expect from the bra-ket analysis?
A telescope mirror has a radius of curvature of 18.0 m. It is used to take a picture of the Moon, What is the diameter of the image of the Moon produced by this mirror
A 20-kg uniform disk is at rest on a horizontal surface when a horizontal force of F=400N is applied at the center of the disk to the right. Determine the acceleration of the mass center
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An ac generator supplies a peak (not rms) voltage of 120.0 V at 60.0 Hz. What is the average power dissipated in the circuit
Study of the fragment
One cubic meter (1.00 m3) of aluminum has a mass of 2.70 103 kg, and the same volume of iron has a mass of 7.86 103 kg. Find the radius of a solid aluminum sphere that will balance a solid iron sphere of radius 1.24 cm on an equal-arm balance.
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What is the direction of E for points. find the balls initial speed.
Please state Ohm's Law using words, and in several ways if you can. Reference to graphs may make this easier for you
A 9-g bullet is fired from a rifle. It takes 3.30 10-3 s for the bullet to travel the length of the barrel, find the average net force exerted on the bullet
An iron bar of mass, 0.82 kg, slides down a frictionless incline 0.29 m high, What is the speed of the combined masses after collision
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