Optionals IAS Mains Physics: Questions 133 - 138 of 307

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Question 133

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Appeared in Year: 2012

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Essay▾

Use the uncertainty principle to estimate the ground state energy of a linear harmonic oscillator.

Explanation

Kinetic energy

And

Then

to get the ground state energy

Take absolute value only

Question 134

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Appeared in Year: 2012

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Explain the variation of magnetization of a type – I and type – II Superconductor as a function of applied magnetic field.

Explanation

Type – I or Soft Superconductors:

  • The Superconductors which strictly follow the Messier effect are called type – I Superconductors. The typical magnetic behaviour of lead, a type – I Superconductor is shown in Fig (1) . Superconductors exhibit perfect diamagnetism below a critical field which, for most cases is of the order of Tesla. As the applie…

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Question 135

Appeared in Year: 2004

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Essay▾

Write down the expression for the relativistic mass of a particle moving with a velocity in terms of its rest mass. Establish from the above expression Einstein՚s mass – energy relation .

Explanation

The expression for relativistic mass of the particle is

Where is the rest mass of the particle.

As we recall from elementary physics, the work done on an object by a constant force of magnitude that acts through the distance , where is in the same direction as , is given by . If no other forces act on the object and the object starts from rest…

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Question 136

Classification of Elementary Particles and Their Interactions
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Appeared in Year: 2004

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What is the difference between neutrino and antineutrino? How is helicity of neutrino determined?

Explanation

The distinction between the neutrino and the antineutrino is a particularly interesting one. The spin of the neutrino is opposite in direction to the direction of its motion, the neutrino spins counterclockwise. The spin of the antineutrino, on the other hand, is in the same direction as its direction of motion, viewed from behind, it spin clockw…

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Question 137

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Appeared in Year: 2004

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Write down the equation of motion for a damped harmonic oscillator assuming the damping force proportional to the velocity of the particle. Obtain the general solution for its displacement as a function of time. Discuss the cases of ‘over damping’ , ‘under damping’ and ‘critical damping’ .

Explanation

Damped Harmonic Oscillator:

A harmonic oscillator in which oscillations are damped on account of resistive forces, as explained, with its amplitude progressively decreasing to zero, is called a damped harmonic oscillator.

Obviously in the case of such an oscillator, in addition to the restoring force - , a resistive or damping force also acts upon …

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Question 138

Appeared in Year: 2012

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Essay▾

Classify diamagnetic, paramagnetic and ferromagnetic materials in terms of their magnetic susceptibility Plot and explain the variation of with temperature for the three materials.

Explanation

Magnetic Susceptibility A magnetic field can be described by either of two vectors The magnetic indication or the magnetic field intensity , which are related in vacuum by

Where is the permeability of free space.

When a material medium is placed in a magnetic field, the material is magnetized. This magnetization is described by the magnetizatio…

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