CSIR Physical Sciences: Questions 333 - 337 of 389

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Question number: 333

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2011

MCQ▾

Question

The first few terms in the Taylor series expansion of the function f(x)=sinx around x=π4 are - (December)

Choices

Choice (4) Response
a.

12[1+(xπ4)+12!(xπ4)2+13!(xπ4)3+]

b.

12[1+(xπ4)12!(xπ4)213!(xπ4)3+]

c.

12[1x+x22!x33!]

d.

[(xπ4)13!(xπ4)3]

Passage

A narrow beam of X – rays with wavelength 1.5 is reflected from an ionic crystal with an fcc lattice structure with a density of 3.32gcm3 . The molecular weight is 108AMU (1AMU=1.66×1024g) . (June)

Question number: 334 (1 of 2 Based on Passage) Show Passage

» Condensed Matter Physics » Diffraction and the Structure Factor

Appeared in Year: 2011

MCQ▾

Question

The sine of the angle corresponding to (111) reflection is:

Choices

Choice (4) Response
a.

38

b.

14

c.

18

d.

34

Question number: 335 (2 of 2 Based on Passage) Show Passage

» Condensed Matter Physics » Diffraction and the Structure Factor

Appeared in Year: 2011

MCQ▾

Question

The lattice constant is –

Choices

Choice (4) Response
a.

6.00

b.

2.56

c.

4.56

d.

4.00

Question number: 336

» Quantum Mechanics » Variational Method

MCQ▾

Question

Let 0 and 1 denote the normalized eigenstate corresponding to the ground and first excited state of a one dimensional harmonic oscillator. The uncertainty Δp in the state 12( 0+ 1) is:

Choices

Choice (4) Response
a.

Δp=mω

b.

Δp=mω2

c.

Δp=2mω

d.

Δp=mω2

Question number: 337

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2011

MCQ▾

Question

A constant electric current I in an infinitely long straight wire is suddenly switched on at t=0 . The vector potential at a perpendicular distance r from the wire is given by A=k^μ0I2πln[1r(ct+c2t2r2)] . The electric field at a distance r(<ct) is –

(December)

Choices

Choice (4) Response
a.

cμ0I2πc2t2r212(i^j^)

b.

μ0I2πt12(i^j^)

c.

0

d.

cμ0I2πc2t2r2k^

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