Mathematical Methods of Physics (CSIR Physical Sciences): Questions 63 - 67 of 67

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 401 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

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 3% and 4% , respectively, then – (June)

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.

5.0%

b.

12.0%

c.

3.5%

d.

7.0%

Passage

In the absence of an applied torque a rigid body with three distances principal moments of inertia given by I1,I2andI3 is rotating freely about a fixed point inside the body. The Euler equations for the components of its angular velocity (ω1,ω2,ω3) are

ω˙1=I2I1I1ω2ω3,ω˙2=(I3I1)I2ω1ω3,ω˙3=I1I2I3ω1ω2 (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 (ω1,ω2,ω3) space are –

Choices

Choice (4) Response

a.

(1,1, 0),(1, 0,1)and(0,1, 1)

b.

(1, 1,0),(1, 0,1)and(0, 1,1)

c.

(1, 0,0),(0, 1,0)and(0, 0,1)

d.

(1, 1,1),(1,1,1)and(0, 0,0)

Passage

Consider the matrix M=(111111111) (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 3×3 identity matrix)

Choices

Choice (4) Response

a.

eM=I+33M

b.

eM=I+M+M22!

c.

eM=I+(e313)M

d.

eM=(e1)M

Question number: 66

» Mathematical Methods of Physics » Dimensional Analysis

MCQ▾

Question

Using dimensional analysis, Plank defined a characteristic temperature TP from powers of the gravitational constant G , Planck’s constant h , Boltzmann constant KB and the speed of light C in vacuum. The expression for TP is proportional to – (June)

Choices

Choice (4) Response

a.

hc5kB2G

b.

hc3kB2G

c.

Ghc4kB2

d.

hkB2Gc3

Question number: 67

» Mathematical Methods of Physics » Analytic Functions

Appeared in Year: 2016

MCQ▾

Question

The dependence of current I on the voltage V of a certain device is given by,

I=I0(1VV0)2

Where I0 and V0 are constant. In an experiment the current I is measured as the voltage V applied across the device is increased. The parameters V0 and I0 can be graphically determined as, (June)

Choices

Choice (4) Response

a.

The slope and the y intercept of the IV2 graph

b.

The negative of the ratio of the y intercept and the slope, and the y intercept of the IV2 graph

c.

The slope and the y intercept of the IV graph

d.

The negative of ratio of y intercept and slope, and y intercept of the IV graph

f Page
Sign In