CSIR Physical Sciences: Questions 259 - 260 of 401

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Question number: 259

» Condensed Matter Physics » Free Electron Theory

Appeared in Year: 2014

MCQ▾

Question

Consider an electron in a b. c. c. lattice with lattice constant a . A single particle wavefunction that satisfies the Bloch theorem will have the form f(r)exp(ikr) , with f(r) being – (June – 2014)

Choices

Choice (4) Response

a.

1+cos[2πa(x+y)]+cos[2πa(y+z)]+cos[2πa(z+x)]

b.

1+cos[πa(x+yz)]+cos[πa(x+y+z)]+cos[πa(xy+z)]

c.

1+cos[2πa(x+yz)]+cos[2πa(x+y+z)]+cos[2πa(xy+z)]

d.

1+cos[πa(x+y)]+cos[πa(y+z)]+cos[πa(z+x)]

Question number: 260

» Electromagnetic Theory » Electrostatics: Gauss's Law and Its Applications

Appeared in Year: 2013

MCQ▾

Question

A point charge q is placed symmetrically at a distance d from two perpendicularly placed grounded conducting infinite plates as shown in the figure. The net force on the charge (in units of 14πε0 ) is –

A point charge placed between two perpendicular plates

A Point Charge Placed Between Two Perpendicular Plates

In figure a point charge q is placed symmetrically at a distance d from two perpendicularly placed grounded conducting infinite plates.

(December – 2013)

Choices

Choice (4) Response

a.

3q28d2 away from the corner

b.

q28d2(221) away from the corner

c.

q222d2 towards the corner

d.

q28d2(221) towards the corner

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