GATE (Graduate Aptitude Test in Engineering) Physics: Questions 341 - 345 of 659

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Question 341

Appeared in Year: 2009

Question

MCQ▾

The probability that an energy level at a temperature is unoccupied by a fermion of chemical potential is given by,

Choices

Choice (4)Response

a.

b.

c.

d.

Question 342

Appeared in Year: 2009

Question

MCQ▾

A cylindrical rod of length and radius , made of an inhomogeneous dielectric, is placed with its axis along the direction with one end at the origin as shown below

A Cylinder Rod of Length L

If the rod carries a polarization, , the volume bound charge inside the dielectric is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 343

Appeared in Year: 2009

Question

MCQ▾

Consider the following expression for the mass of a nucleus with protons and nucleus:

. Here is function of .

and are constants of suitable dimensions. For a fixed , the expression of for the most stable nucleus is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 344

Appeared in Year: 2009

Question

MCQ▾

The Lagrangian of a free particle in spherical polar co – ordinates is given by the quantity that is conserved is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 345

Appeared in Year: 2009

Question

MCQ▾

In a diatomic molecule, the internuclear separations of the ground and first excited electronic state are the same as shown in the figure. If the molecule is initially in the lowest vibrational state of the ground state, then the absorption spectrum will appear as –

The Internuclear Separation

Choices

Choice (4)Response

a.

The Absorption Spectrum (Choice A)

b.

The Absorption Spectrum (Choice B)

c.

The Absorption Spectrum (Choice C)

d.

The Absorption Spectrum (Choice D)

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