Mathematical Methods of Physics (CSIR Physical Sciences): Questions 60 - 65 of 67

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Question number: 60

» Mathematical Methods of Physics » Poles, Residues & Evaluation of Integrals

Appeared in Year: 2011

MCQ▾

Question

The value of the real integral is – (December)

Choices

Choice (4) Response

a.

b.

c.

0

d.

Passage

Consider the matrix

(June)

Question number: 61 (1 of 1 Based on Passage) Show Passage

» Mathematical Methods of Physics » Matrices

Appeared in Year: 2011

MCQ▾

Question

The eigenvalues of M are –

Choices

Choice (4) Response

a.

1, 1, 3

b.

c.

d.

Passage

A resistance is measured by passing current through it and measuring the resulting voltage drop. If the voltmeter and the ammeter have uncertainties of and , respectively, then – (June)

Question number: 62 (1 of 2 Based on Passage) Show Passage

» Mathematical Methods of Physics » Dimensional Analysis

Appeared in Year: 2011

MCQ▾

Question

The uncertainty in the computed value of the power dissipated in resistance is:

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 63 (2 of 2 Based on Passage) Show Passage

» Mathematical Methods of Physics » Dimensional Analysis

Appeared in Year: 2011

MCQ▾

Question

The uncertainty in the value of resistance is:

Choices

Choice (4) Response

a.

b.

c.

d.

Passage

In the absence of an applied torque a rigid body with three distances principal moments of inertia given by is rotating freely about a fixed point inside the body. The Euler equations for the components of its angular velocity are

(June)

Question number: 64 (1 of 1 Based on Passage) Show Passage

» Mathematical Methods of Physics » Eigenvalues and Eigenvectors

Appeared in Year: 2011

MCQ▾

Question

The equilibrium points in space are –

Choices

Choice (4) Response

a.

b.

c.

d.

Passage

Consider the matrix (June)

Question number: 65 (1 of 1 Based on Passage) Show Passage

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2011

MCQ▾

Question

The exponential of M simplifies to (I is the identity matrix)

Choices

Choice (4) Response

a.

b.

c.

d.

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