EASY
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How to represent probability of finding an electron?

Important Questions on Quantum and Nuclear Physics (HL)

EASY
What do you mean by Copenhagen interpretation?
HARD
Assume that an electron can exist within a nucleus such that its associated waveforms a fundamental mode standing wave with nodes at the edges of the nucleus. Calculate the kinetic energy of the electron.
MEDIUM
Assume that an electron can exist within a nucleus (size 10-15  m) such that its associated waveforms a fundamental mode standing wave with nodes at the edges of the nucleus. Estimate the wavelength of this electron.
EASY
In a decay the uncertainty in the energy is released is 150 Mev. Calculate the lifetime of the decayed particle.
HARD

The graphs represent the wave functions of two electrons. Identify the electron with the least uncertainty in the position.

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MEDIUM

Represent the union of two sets by Venn diagram for each of the following.

X={x | x is a prime number between 80 and 100}

Y={y | y is an odd number between 90 and 100}

EASY

According to the Copenhagen interpretation, system's wave function is a superposition of all possible states.

MEDIUM
Assume that an electron can exist within a nucleus such that its associated waveforms a fundamental mode standing wave with nodes at the edges of the nucleus. And the kinetic energy value is 1.5×10-9 J. Using it comment on whether the electron emitted in beta-minus decay could have existed within the nucleus before the decay.
EASY
What is the condition of diffraction of a wave?
EASY
What is the expression of the uncertainty principle in terms of uncertainty in the energy of state and lifetime of a state?
HARD

The graphs represent the wave functions of two electrons. Identify the electron with the least uncertainty in momentum.

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MEDIUM
Write a short note on Schrodinger's theory.
EASY

The graph shows the wavefunction of a particle. Near which position is the particle most likely to be found?

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EASY
Which of the following is the correct representation of the probability of finding an electron?
EASY
A particle of mass m is confined within a region of linear size L. Which is an order of magnitude estimate of the particle’s kinetic energy?
MEDIUM

Theoretically it is possible in principle to balance a pencil on its tip so that it stands vertically on a horizontal table. Explain why in quantum theory this is impossible in principle. (You can turn this problem into a good theoretical extended if essay you try to estimate the time the pencil will stay up after it has been momentarily balanced!)

MEDIUM
Derive Heisenberg's uncertainty principle by diffraction of electron through a narrow circular aperture.