GATE Physics: Questions 120 - 124 of 622

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Question number: 120

» Classical Mechanics » Relativistic Kinematics

Appeared in Year: 2012

MCQ▾

Question

A rod of proper length L0 oriented parallel to the X- axis moves with speed 2C3 along the Y – axis in the S – frame, where C is the speed of light in free space. The observer is also moving along the X – axis with speed C2 with respect to the S – frame. The length of the rod as measured by the observer is

Choices

Choice (4) Response

a.

0.48L0

b.

0.87L0

c.

0.35L0

d.

0.97L0

Question number: 121

» Mathematical Physics » Elements of Complex Analysis » Cauchy-Riemann Conditions

Appeared in Year: 2012

MCQ▾

Question

The number of independent component of the symmetric Aij with indices i,j=1, 2,3 is –

Choices

Choice (4) Response

a.

6

b.

3

c.

1

d.

9

Passage

The dispersion relation for a one – dimensional monatomic crystal with lattice spacing a, which interacts via nearest neighbor harmonic potential is given by, ω=A sinka2 , where A is a constant of appropriate unit.

Question number: 122 (1 of 2 Based on Passage) Show Passage

» Solid State Physics » Elements of Crystallography

Appeared in Year: 2012

MCQ▾

Question

The force constant between the nearest neighbors of the lattice is –

(M is the mass of the atom)

Choices

Choice (4) Response

a.

2MA2

b.

MA22

c.

MA24

d.

MA2

Question number: 123 (2 of 2 Based on Passage) Show Passage

» Solid State Physics » Elements of Crystallography

Appeared in Year: 2012

MCQ▾

Question

The group velocity at the boundary of the first Brillouin zone is –

Choices

Choice (4) Response

a.

12Aa22

b.

1

c.

Aa22

d.

0

Question number: 124

» Electromagnetic Theory » Solutions of Electrostatic and Magnetostatic Problems

Appeared in Year: 2012

MCQ▾

Question

Given F=r×B , where B=B0(i^+j^+k^) is a constant vector and r is the position vector. The value of CFdr , where C is a circle of unit radius centered at origin is,

Choices

Choice (4) Response

a.

1

b.

2πB0

c.

2πB0

d.

0

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