Optionals IAS Mains Physics: Questions 112 - 118 of 307

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Question 112

Dulong-Petit, Einstein, and Debye's Theories of Specific Heat of Solids

Appeared in Year: 2012

Describe in Detail

Essay▾

The Einstein theory of specific heat of solids gives the expression

Where with as the Einstein temperature.

(ii) Give schematic plot of V/S and common on the validity of expressions in (i) in comparison with experiments.

Explanation

  • A theoretical plot of V/S using given equation for diamond using is shown below. Some experimental points are also shown for comparison. It is seen that the Einstein curve fits the experimental points well over a wide range of temperature except for very low (liquid helium) temperatures where it falls more rapidly than the observed decrease in …

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Question 113

Edit

Appeared in Year: 2004

Describe in Detail

Essay▾

Give the 2 forms of the De Morgan՚s theorem.

Explanation

  • The Boolean equation for is .
Nor Gate
  • The Boolean equation for is .
And Gate

The first equation describes a NOR gate, and the second equation a bubbled AND gate. Since the outputs are equal for the same inputs, we can equate the right-hand members to get

The identity is known as De Morgan՚s first theorem. In words, it says the complement of a sum equ…

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Question 114

Euler's Equation of Motion of a Rigid Body

Appeared in Year: 2016

Describe in Detail

Essay▾

Show that the Young՚s modulus , modulus of rigidity and Poisson՚s ratio are related by the equation .

Explanation

Let the upper face ABEG of a cube of each edge be sheared through an angle under a tangential force applied to it, as shown in Fig (1) , such that displacement AA ‘= BB’ = , with diagonal DB increased to DB ‘and diagonal AC shortened to A’ C. Then clearly, tangential stress applied , say and shear strain produced . Therefore the modulus of rigid…

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Question 115

Appeared in Year: 2004

Describe in Detail

Essay▾

What are the term symbols for atoms with the following (total spin) and (total orbital) quantum numbers, ?

Explanation

The term symbols are denoted by

Since ,

Corresponds to state

Lies between to

to

,

Term symbols are and

Question 116

Appeared in Year: 2004

Describe in Detail

Essay▾

A point charge is held at a distance in front of an infinite grounded conducting plane. What is the electric potential in front of the plane?

Explanation

We suppose that the conducting plane is specified at and the point charge is located at If we imagine a point charge at it is the required image charge for the problem. This is because when we have a pair of equal and opposite point charges, the surface perpendicular to the line joining them and midway between them is a zero potential surface …

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Question 117

Appeared in Year: 2004

Describe in Detail

Essay▾

A hydrogen atom is in the following state: .

What is the probability of finding the system in the state ?

Explanation

Using the orthonormality condition, where we can verify that is normalized.

Since is normalized, the probability of finding system in is given by

Since and

Question 118

Appeared in Year: 2004

Describe in Detail

Essay▾

By drawing v/s curve, distinguish between metal, insulator and semiconductor.

Explanation

To distinguish between metals, insulators and semiconductors on the basis of the band theory, we consider an energy band which is filled with electrons up to a certain value. as shown in Fig (1) .

It is of interest to know the effective number of free electrons present in this band gives information about the conductivity of the band.

In the express…

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