Quantum Mechanics Answers

A rocket fires two engines simultaneously. One produces a thrust

of 725 N directly forward while the other gives a 513 N thrust at

32.4 o above the forward direction. Find the magnitude and direction (

relative to the forward direction) of the resultant force which these

engines exert on the rocket.

What is the centripetal acceleration of a point on the trim of flywheel 1.20 m in diameter, turning at a rate of 1,200 r/min?

. Consider the Schrödinger equation for a particle in the presence of the potential of the form 𝑉(𝑥) = 𝑈(𝑥) + 𝑖𝑊(𝑥) where 𝑈 and 𝑊 are real functions of 𝑥. What form does the conservation equation take?

Due to collision of an of energy 22 eV with a hydrogen atom, the atom exited to the higher energy state and motion of electron is retarded. Immediately a photon of wavelength 1216 Å is emitted. What is the velocity of the electron after the collision?

P.S. Answer is 2.037 x 10^6 m/s

Solve the Schrödinger equation for a particle in a box with sides at 𝑥 = −𝐿 and 𝑥 = 𝐿. Determine the eigenvalues and the normalized eigenfunctions. 

Consider the function 𝜓(𝜃) of the angular variable 𝜃, restricted to the interval −𝜋 ≤ 𝜃 ≤ 𝜋. If the wave functions satisfy the condition 𝜓(𝜋) = 𝜓(−𝜋), show that the operator 𝐿 = ℏ / 𝑖. 𝑑 / 𝑑𝜃 has a real expectation value.

A ray of light of wavelength 36.5x10^-8 m and intensity of 10^-8 Wm^-2 is incident perpendicularly on a surface. Absorption coefficient of that surface is 0.8 and work function is 1.6eV. Calculate

(a) rate of production of electron from unit area

(b) absorbed energy per square meter

(c) kinetic energy of the produced electrons

Recall the Hadamard gate H

H that transforms from the {|0⟩,|1⟩}

{|0⟩,|1⟩} basis to the {|+⟩,|−⟩}

{|+⟩,|−⟩} basis. In outer product notation, this gate can be written as,