GATE Physics: Questions 274 - 277 of 290

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 290 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 200.00 or

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

Sign In