GATE Physics: Questions 23 - 27 of 622

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Question number: 23

» Mathematical Physics » Elements of Complex Analysis » Residue Theorem and Applications

Appeared in Year: 2015

MCQ▾

Question

Consider a complex function f(z)=1z(z+12)cos(zπ) . Which one of the following statements is correct?

Choices

Choice (4) Response

a.

f(z) has infinite number of second order poles

b.

f(z) has a second order pole at z=12

c.

f(z) has all simple poles

d.

f(z) has simple poles at z=0 and z=12

Question number: 24

» Thermodynamics and Statistical Physics » Probability Ensembles

Appeared in Year: 2014

MCQ▾

Question

Consider a system of 3 fermions, which can occupy any of the 4 available energy states with equal probability. The entropy of the system is –

Choices

Choice (4) Response

a.

3kBln4

b.

kBln2

c.

2kBln2

d.

2kBln4

Question number: 25

» Electronics » Active Filters and Oscillators

Appeared in Year: 2014

MCQ▾

Question

A low pass filter is formed by a resistance R and a capacitance C. At the cut – off angular frequency ωc=1RC , the voltage gain and the phase of the output voltage relative to the input voltage respectively, are –

Choices

Choice (4) Response

a.

0.5and90°

b.

0.71and45°

c.

0.72and45°

d.

0.5and90°

Question number: 26

» Electronics » Counters

Appeared in Year: 2014

Short Answer Question▾

Write in Short

The minimum number of flip – flops required to construct a mod – 75 counter is ________.

Question number: 27

» Thermodynamics and Statistical Physics » Degenerate Fermi Gas

Appeared in Year: 2015

MCQ▾

Question

The entropy of a gas containing N particles enclosed in a volume V is given by,

S=NkBln(aVE32N52)

Where, E is the total energy, a is a constant and kB is the Boltzmann constant. The chemical potential μ of the system at a temperature T is given by,

Choices

Choice (4) Response

a.

μ=kBT[ln(aVE32N32)32]

b.

μ=kBT[ln(aVE32N32)52]

c.

μ=kBT[ln(aVE32N52)32]

d.

μ=kBT[ln(aVE32N52)52]

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