GATE (Graduate Aptitude Test in Engineering) Physics: Questions 274 - 278 of 659

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Passage

A plane electromagnetic wave has the magnetic field given by,

where, is the wave number and are the Cartesian unit vector in directions, respectively.

Question 274 (2 of 2 Based on Passage)

Appeared in Year: 2011

Question

MCQ▾

The electric field corresponding to the above wave is given by –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 275

Appeared in Year: 2010

Question

MCQ▾

The value of the integral , where the contour is the unit circle | |= 1 is –

Choices

Choice (4)Response

a.

b.

c.

0

d.

Question 276

Appeared in Year: 2010

Question

MCQ▾

The Bloch theorem states that within a crystal, the wavefunction, of an electron has the from –

Choices

Choice (4)Response

a.

where is an arbitrary function and is a reciprocal lattice vector

b.

where , is a lattice and is a reciprocal lattice vector

c.

where , is a lattice vector and is an arbitrary vector

d.

, where is an arbitrary function and is an arbitrary vector

Question 277

Covariant and Contravariant Tensor

Appeared in Year: 2010

Question

MCQ▾

Consider an anti – symmetric tensor with the indices and running from to . The number of independent components of the tensor is –

Choices

Choice (4)Response

a.

9

b.

3

c.

6

d.

10

Question 278

Appeared in Year: 2010

Question

MCQ▾

Two states of an atom have definite parities. An electric dipole transition between these states is

Choices

Choice (4)Response

a.

Allowed if both the states have even parity

b.

Allowed if both the states have odd parity

c.

Not allowed unless a static electric field is applied

d.

Allowed if the two states have opposite parities

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