GATE (Graduate Aptitude Test in Engineering) Physics (PE): Questions 246 - 250 of 1823

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Question 246

Appeared in Year: 2013

Question MCQ▾

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

Choices

Choice (4)Response

a.

-1

b.

1

c.

d.

Edit

Question 247

Appeared in Year: 2014

Question MCQ▾

The van der Waals equation of state for a gas is given by, Where P, V and T represent the pressure, volume and temperature respectively, and and 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.

b.

c.

d.

Edit

Question 248

Appeared in Year: 2014

Question MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 249

Appeared in Year: 2014

Question MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 250

Appeared in Year: 2013

Question MCQ▾

The expectation value of the x – component of the orbital angular momentum in the state,

(Where are the eigenfunction in usual notation) , is – (December -2013)

Choices

Choice (4)Response

a.

b.

c.

d.

0

Edit