CSIR Physical Sciences: Questions 277 - 280 of 401

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Question number: 277

» Thermodynamic and Statistical Physics » Planck's Distribution Law

Appeared in Year: 2013

MCQ▾

Question

Let u be a random variable uniformly distributed in the interval [0, 1] and V=clnu , where c is a real constant. If V is to be exponentially distributed in the interval [0,) with unit standard deviation, then the value of c should be – (June)

Choices

Choice (4) Response

a.

12

b.

-1

c.

1

d.

ln2

Question number: 278

» Condensed Matter Physics » Bonding of Solids

Appeared in Year: 2014

MCQ▾

Question

The van der Waals’ equation of state for a gas is given by, (P+aV2)(Vb)=RT Where P, V and T represent the pressure, volume and temperature respectively, and a and b are constant parameters. At the critical point, where all the roots of the above cubic equation are degenerate, the volume is given by, (June – 2014)

Choices

Choice (4) Response

a.

a9b

b.

3b

c.

8a27bR

d.

a27b2

Question number: 279

» Thermodynamic and Statistical Physics » Fermi Gases

Appeared in Year: 2014

MCQ▾

Question

The pressure of a nonrelativistic free Fermi gas in three – dimension depends, at T=0 , on the density of fermions n as. (June – 2014)

Choices

Choice (4) Response

a.

n53

b.

n13

c.

n23

d.

n43

Question number: 280

» Atomic & Molecular Physics » Relativistic Corrections for Energy Levels of Hydrogen Atom

Appeared in Year: 2014

MCQ▾

Question

A permanently deformed even – even nucleus with JP=2+ has rotational energy 93 KeV. The energy of next excited state is – (June – 2014)

Choices

Choice (4) Response

a.

372KeV

b.

310KeV

c.

273KeV

d.

186KeV

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