GATE (Graduate Aptitude Test in Engineering) Physics: Questions 176 - 182 of 659

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Question 176

Appeared in Year: 2011

Question

MCQ▾

A matrix has elements such that its trace is and its determinant is . The eigenvalues of the matrix are all known to be positive integers. The largest eigenvalue of the matrix is –

Choices

Choice (4)Response

a.

9

b.

12

c.

18

d.

6

Question 177

Appeared in Year: 2013

Write in Short

Short Answer▾

The number of spectral lines allowed in the spectrum for the transition in sodium is ________.

Question 178

Appeared in Year: 2011

Question

MCQ▾

If and are respectively the components of angular momentum operator , the commutator is equal to

Choices

Choice (4)Response

a.

b.

c.

d.

0

Question 179

Appeared in Year: 2011

Question

MCQ▾

The unit vector normal to the surface at the point is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 180

Appeared in Year: 2011

Question

MCQ▾

For a three – dimensional crystal having N primitive unit cells with a basis of atoms, the number of optical branches is –

Choices

Choice (4)Response

a.

b.

3

c.

d.

Question 181

Appeared in Year: 2013

Question

MCQ▾

The isospin and baryon number of the up quark is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 182

Appeared in Year: 2013

Question

MCQ▾

In a normal Zeeman effect experiment, spectral splitting of the line at the wavelength corresponding to the transition od cadmium atoms is to be observed. The spectrometer has a resolution of . The minimum magnetic field needed to observe this is –

Choices

Choice (4)Response

a.

b.

c.

d.

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