CSIR Physical Sciences: Questions 87 - 90 of 401

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Question number: 87

» Mathematical Methods of Physics » Binomial, Poisson and Normal Distributions

Appeared in Year: 2014

MCQ▾

Question

Two independent random variables m and n, which can take the integer values 0, 1,2,, , follow the Poisson distribution, with distinct mean values μ and v respectively. Then, (December)

Choices

Choice (4) Response

a.

The probability distribution of the random variable l=m+n is a binomial distribution.

b.

The variance of the random variable l=m+n is equal to μ+v .

c.

The probability distribution of the random variable r=mn is also a Poisson distribution.

d.

The mean value of the random variable r=mn is equal to 0.

Question number: 88

» Mathematical Methods of Physics » Elementary Probability Theory

Appeared in Year: 2012

MCQ▾

Question

An unbiased dice is thrown three times successively. The probability that the numbers of dots on the uppermost surface add up to 16 is – (December)

Choices

Choice (4) Response

a.

136

b.

116

c.

1108

d.

1216

Question number: 89

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2012

MCQ▾

Question

The magnetic field corresponding to the vector potential A=12F×r+10r3r where F is a constant vector, is – (June)

Choices

Choice (4) Response

a.

F

b.

F

c.

F+30r4r

d.

F30r4r

Question number: 90

» Electronics and Experimental Methods » Operational Amplifiers

Appeared in Year: 2014

MCQ▾

Question

Consider the amplifier circuit comprising of two

An amplifier circuit composed of two op – amps

An Amplifier Circuit Composed of Two Op – Amps

In figure am amplifier circuit is shown, which is made up of two op – amps A1 and A2.

If the input ac signal has an impedance of 50kΩ , which of the following statements is true? (December)

Choices

Choice (4) Response

a.

A1 is required in the circuit if the output has to follow the phase of the input signal.

b.

A1 is required in the circuit because the source impedance is much greater than r

c.

A1 is required in the circuit because the source impedance is much less than R

d.

A1 can be eliminated from the circuit without affecting the overall gain

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