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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?
Calculate the speed of block at the instant the dielectric leaves the capacitor assuming it starts at rest and that the voltage across capacitor after the dielectric is removed is measured to be 200 V.
Find out the angle the string makes with the vertical.what is the maximum voltage that can be applied across the whole network.
A 1.0 kohm resistor is connected in series with a 10 mH inductor, a 30 V battery, and an open switch. at time t=0, the switch is suddenly closed. What are the voltage drops Vr and Vl 20.00 us after the switch is closed.
A highway is to be built between two towns, one of which lies 30.0 km south and 83.0 km west of the other. at what angle would this highway be directed
A 954 kg drag race car accelerates from rest to 113 km/h in 0.919 s. What average force is exerted on the car
The entrepreneur who founded the company is convinced that sales will increase next year by 150% and that net operating income will increase by 400%, with no increase in average operating assets. Illustrate what would be the company's ROI?
A large incandescent light bulb used in a spotlight in the 1939 movie "The Wizard of Oz" had an operating temperature of 2500 degrees Kelvin. determine the thermal power from the filament in Joules/second
Some extreme sport enthusiasts have been know to jump off the top of El Capitan, It is very important that the parachute be far away from the cliff when opened. How far is the jumper from the cliff when opening the parachute
A 5.00-liter aluminum cylinder at 5.00°C is filled to the brim with gasoline at the same temperature. If the aluminum and gasoline are warmed to 69.0°C, how much gasoline spills out
A thin, circular disc is made of lead and has a radius of 0.0350 cm at 20.0 °C. find out the change in the area of the circle if the temperature is increased to 625.0 °C. The coefficient of linear thermal expansion for lead is 29.0 x 10-6/C°.
What's the difference between a rotational and a circular motion and Why does vertically falling rain make slanted streaks on the side windows of a moving auto
On a banked race track, the smallest circular path on which cars can move has a radius of 109 m, Find the largest speed at which cars can move on this track without relying on frictio
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