In April 2024
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Find the expectation values of p and p2, for , where p=ℏk,
, using <p>=∫φ*(k)ℏkφ(k)dk, and <p2>=∫φ*(k)ℏ2k2φ(k)dk
If the price elasticity of demand for tractors priced between $4,000 and $6,000 is -0.75 (using the mid-point method), what will be the percentage change in quantity demanded when the price for tractors falls from $6,000 to $4,000?
What is the wavelength of EM radiation that ejects 2.00 -eV electrons from calcium metal, given that the binding energy is 2.71 eV? What type of EM radiation is this?
QUESTION 1
Some workers re-roofing a building are using a slide to get material from the roof to a bin beside the building.
Assume that the slide is frictionless and that the material being slid down starts at the top of the slide at rest.
If the bin is 4.4 m vertically below the top of the slide then at what speed will the material enter the bin? (in m s-1 to 2 s.A)
Calculate the time taken for a car to cover a distance of 100m if the initial speed is 10km/h and it constant acceleration of 1.5m/s
What is the maximum kinetic energy in eV of electrons ejected from sodium metal by 450-NM EM radiation, given that the binding energy is 2.28 eV
Some workers re-roofing a building are using a slide to get material from the roof to a bin beside the building.
Assume that the slide is frictionless and that the material being slid down starts at the top of the slide at rest.
If the bin is 4.4 m vertically below the top of the slide then at what speed will the material enter the bin? (in m s−1 to 2 s.f)
A crane is used to lift some building materials which weigh 112 kg from the ground to the top of a building.
If the building materials are being raised by an electrical winch at a speed of 2.13 m s−1 then at what rate is the winch using electrical power? (in W to 3 s.f)
note: use g = 9.81 m s−2.
Normalize wave function psi where psi(x) = {e^-ax for x>0 e^ax for x<0
For the wavefunction Ψ(x,0)= 1/√a for –a ≤ x ≤ a, find the momentum space wavefunction φ(k) A particle of mass m is trapped in a one dimensional box of width a. The wavefunction is known to be: Ψ(x) = (i/2)(√(2/a))Sin(πx/a) + (√(1/a))Sin(3πx/a) -1/2(√(2/a))Sin(4πx/a)
(a) If the energy is measured, what are the possible results and what is the probability of obtaining each result.
