Quantum Mechanics Answers

1. A particle trapped in a one-dimensional box of length L is described by the wave function

  = ax. What is the probability that the particle is lying between L1 and L2?

The distance from earth surface to moon surface is 3.8x10⁵ km. Calculate areal spread and angular spread for a laser of wavelength 632.8 nm and aperture 0.5 mm when it reaches moon.

Ψ (x) = (γ/π)^1/4 exp (-γ^2x^2)/2 

V(x) = ?

 A rock is thrown horizontally from the top of a cliff 88 m high, with a horizontal speed of 25 m/s. For what interval of time is the rock in the air

A cylinder of mass ( q.m) is connected to an ideal spring with k spring constant. It is also connected to a hanging body of mass( m ) with a rope that goes over a pulley. The mass of the smaller cylinder is negligible. Initially the system is stationary such a way that the spring is undeformed and the hangig body is supported. What will be the angular frequency of the central mass of the cylinder after the support is removed?

What will be the amplitude A of the oscillation of the central mass of the cylinder? 

What is blackbody.

Explain macrostates.

Explain microstates.

i)                For a system of n distinguishable particles to be distributed in two similar compartments, the total number of microstates for n particles is _____.

a) 2n, b) (n+1), c) 2ⁿ d) n²

i)                For a system of 3 distinguishable particles distributed in two similar compartments, the total number of microstates corresponding to the condition that no compartment should remain empty are______.

a)     4, b) 6, c) 3, d) 9.