GATE Physics: Questions 273 - 277 of 622

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Question number: 273

» Solid State Physics » Semiconductors and Insulators

Appeared in Year: 2010

MCQ▾

Question

The Hall coefficient, RH, of sodium depends on –

Choices

Choice (4) Response

a.

The charge carrier density only

b.

The effective charge carrier mass and carrier density

c.

The charge carrier density and relaxation time

d.

The effective charge carrier mass

Passage

A plane electromagnetic wave has the magnetic field given by,

B(x,y,z,t)=B0sin[(x+y)k2+ωt]k^;

where, k is the wave number and i^,j^andk^ are the Cartesian unit vector in x,yandz directions, respectively.

Question number: 274 (1 of 2 Based on Passage) Show Passage

» Electromagnetic Theory » Electromagnetic Waves and Their Reflection

Appeared in Year: 2011

MCQ▾

Question

The electric field E(x,y,z,t) corresponding to the above wave is given by –

Choices

Choice (4) Response

a.

cB0sin[(x+y)k2+ωt]i^

b.

cB0sin[(x+y)k2+ωt]j^

c.

cB0sin[(x+y)k2+ωt](i^j^)2

d.

cB0sin[(x+y)k2+ωt](i^+j^)2

Question number: 275 (2 of 2 Based on Passage) Show Passage

» Electromagnetic Theory » Poynting Vector

Appeared in Year: 2011

MCQ▾

Question

The average Poynting vector is given by,

Choices

Choice (4) Response

a.

cB022μ0(i^+j^)2

b.

cB022μ0(i^+j^)2

c.

cB022μ0(i^j^)2

d.

cB022μ0(i^j^)2

Question number: 276

» Mathematical Physics » Elements of Complex Analysis » Singularities

Appeared in Year: 2010

MCQ▾

Question

The value of the integral cezsin(z)z2dz , where the contour C is the unit circle z2=1 is –

Choices

Choice (4) Response

a.

4πi

b.

2πi

c.

πi

d.

0

Question number: 277

» Solid State Physics » Defects in Crystals

Appeared in Year: 2010

MCQ▾

Question

The Bloch theorem states that within a crystal, the wavefunction, ψ(r) of an electron has the from –

Choices

Choice (4) Response

a.

ψ(r)=u(r)eikr where u(r)=u(r+Λ) , Λ is a lattice vector and k is an arbitrary vector

b.

ψ(r)=u(r)eikr , where u(r) is an arbitrary function and k is an arbitrary vector

c.

ψ(r)=u(r)eiGr where u(r) is an arbitrary function and G is a reciprocal lattice vector

d.

ψ(r)=u(r)eiGr where u(r)=u(r+Λ) , Λ is a lattice and G is a reciprocal lattice vector

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