GATE (Graduate Aptitude Test in Engineering) Physics: Questions 80 - 83 of 659

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 659 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

Question number: 80

» Electromagnetic Theory » Biot - Savart's and Ampere's Laws

Appeared in Year: 2015

MCQ▾

Question

A charge is distributed uniformly over a sphere, with a positive charge at its centre in . Also in , a charge is distributed uniformly over an ellipsoid with a positive charge at its centre. With respect to the origin of the coordinate system, which one of the following statements is correct?

Charge distribution over sphere and ellipsoid

Charge Distribution Over Sphere and Ellipsoid

In figure – i uniform charge distribution over a sphere and in figure – ii uniform charge distribution over an ellipsoid.

Choices

Choice (4) Response

a.

The dipole moment is non – zero in both figure (i) and figure (ii)

b.

The dipole moment is non – zero in figure (i) but zero in figure (ii)

c.

The dipole moment is zero in figure (i) but non – zero in figure (ii)

d.

The dipole moment is zero in both figure (i) and figure (ii)

Question number: 81

» Electromagnetic Theory » Energy and Momentum of Electromagnetic Waves

Appeared in Year: 2014

Short Answer Question▾

Write in Short

The intensity of a laser in free space is . The corresponding amplitude of the electric field of the laser is .

Question number: 82

» Mathematical Physics » Vector Calculus

Appeared in Year: 2014

Short Answer Question▾

Write in Short

If the vector potential

satisfies the Coulomb gauge, the value of the constant is ________.

Question number: 83

» Quantum Mechanics » Angular Momentum and Spin

Appeared in Year: 2015

Short Answer Question▾

Write in Short

Let the Hamiltonian for two spin particles of equal masses , momenta and and position and be

where and denote the corresponding Pauli matrices, and . If the ground state has net spin zero, then the energy (in ) is ________.

f Page
Sign In