Quantum Mechanics Answers

Suppose rocket traveler Mary has a clock made on Earth. Every year on her birthday she sends a light signal to brother John on Earth. At what rate does John receive the signals during Mary’s outward journey

A car starts from rest and moves with a constant acceleration for 8 sec .the net force is parallel to the displacement. What is the ratio of the increase in kinetic energy of the car over first and next 4sec interval of its motion?

A box having a mass of 80.0kg is dragged across a rough horizontal floor by means of a rope tied on the front of it. The coefficient of friction between the box and the floor is 0.450. If the angle between the rope and the floor is 38.0 degrees, what force must be exerted on the rope to move the box at a constant velocity ? 

A particle trapped in a one-dimensional box of length L is described by the wave function ψ = ax. What is the probability that the particle is lying between L1 and L2?

What is meant by the expectation of a dynamical variable, how is it obtained mathematically?

An electron is confined in a cubical box of each side 1 Å. Calculate the energies of the electron in

the ground state and the first excited state

A particle is moving in a one-dimensional box of width 10 Å. Calculate the probability of finding

the particle within an interval of 2 Å at the centre of the box when it is in the state of least energy

An electron trapped in a one-dimensional box of length L = 1 Å [a typical atomic diameter] is 

described by the normalized wave function

𝛹 = √2

𝐿

sin

𝑛𝜋

𝑥𝐿

 In the ground state, what is the probability that the electron lies between (a) 0.09 

Å and 0.11 Å (b) 0.0 Å 

 and 0.25 Å?

The wave function for a certain particle is 𝛹 = 𝐴cos2𝑥 𝑓𝑜𝑟 − 𝜋

2 < 𝑥 < 𝜋

2

Find the value

of A.

The normalized wave function for a certain particle is 𝛹 = √ 83𝜋

cos2𝑥 𝑓𝑜𝑟 − 𝜋

2 < 𝑥 < 𝜋

2

 Calculate the probability that the particle can be found between x = 0 and x=𝜋

4