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IGNOU PHE 11 Modern Physics 2017 2018

IGNOU PHE 11 Modern Physics 2017 2018

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• IGNOU PHE 11 Modern Physics

• IGNOU BDP (Bachelor Degree Programmes) Solved Assignment 2017 2018

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• PHE 11 Modern Physics

• BDP (BACHELOR DEGREE PROGRAMMES) PHE 11

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PHE 11 : Modern Physics
2018

Question 1.

Two events happen simultaneously in the frame S at a distance of 3.0 light years apart. In the frame S′, which is moving with a speed v relative to S, the distance between these events is 3.5 light years. Calculate (i) v and (ii) the time interval between these events in the frame S′

Question 2.

A spaceship is receding from the earth at a speed of 0.3c. A light on the spaceship emits light of wavelength λ = 4500 Å which appears blue to a passenger on the spaceship. What colour would the light appear to a person on earth?

Question 3.

In a circular accelerator a proton is accelerated to an energy of 1012 eV, as measured in the laboratory frame. If the rest energy of the proton is 109 eV, calculate

the speed of the proton as measured in the laboratory frame

ii) the force that must be applied by the magnets in the accelerator to keep the

protons moving at this speed in a circle of radius 1000 m.

Question 4.

The energy of a particle of mass m bound by a special kind of spring is

E = p2/2m + kx4

where k is a positive constant. Use the Heisenberg’s Uncertainty Principle to calculate the minimum possible energy of the particle.

Question 5.

Calculate the de Broglie wavelength of an electron accelerated by a potential of 1000 V. Also calculate the wavelength of the X-rays that would be produced when these electrons strike a solid.

Question 6.

Determine the commutator [Lz , Ly ] .

Question 7.

In a region of space a particle of mass m has a wavefunction:

where a is a positive constant. Calculate:
i) the normalization constant N
ii) the potential energy of the particle if the total energy of the particle is zero.

Question 8.

Calculate (x) and (px) for the ground state harmonic oscillator eigenfunction.

Question 9.

If σ x, σ y and σz are three components of a Pauli spin matrix σ, then show tha

x , σ y ] = 2i σ z ; [σ y , σ z ] = 2iσ x

Question 10.

State the selection rules for allowed transitions in multielectrons atoms

Question 11.

State Moseley’s law. Using this law, obtain the frequency of an X-ray line when an L to K transition takes place in a silver atom. Take σ = 3.

Question 12.

A radioactive substance of 1 g is reduced to 2.1 mg in 5 years by alpha decay. Calculate the half-life of the substance.

Question 13.

Plot a graph between binding energy per nucleon as a function of mass number. Write the main features of the curve.

Question 14.

A spaceship is receding from the earth at a speed of 0.3c. A light on the spaceship emits light of wavelength λ = 4500 Å which appears blue to a passenger on the spaceship. What colour would the light appear to a person on earth?

Question 15.

Consider nuclei with small mass number A such that N = Z = A/2 . Neglecting

pairing term (∈) show that semi-empirical formula is given by

Obtain the value of A and Z for which binding energy per nucleon (BE / A) is maximum. Take β = 17.8, δ = 0.71.

Question 16.

Using the properties: Charge (Q), Lepton number (L), Baryon number (B) show that whether the following processes are allowed or not?

K + p → â„¦¯ + K + + K 0

π+ + p p + p + ¯n

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UNIVERSITY IGNOU BACHELOR DEGREE PROGRAMMES BDP Bachelor Degree Programmes PHE 11 Modern Physics 2017 2018 SOFT COPY Assignment
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