GATE (Graduate Aptitude Test in Engineering) Physics: Questions 109 - 112 of 659

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Question number: 109

» Solid State Physics » Mobility and Effective Mass

Appeared in Year: 2016

Short Answer Question▾

Write in Short

The energy vs wave vector relationship near the bottom of a band for a solid can be approximation as , where the lattice constant . The values of and are and , respectively. At the bottom of the conduction band, the ratio of the effective mass of the electron to the mass of fee electron is . (Give your answer up to two decimal placed)

(Take mass of free electron )

Question number: 110

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2016

MCQ▾

Question

The direction of for a scalar field at the point is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 111

» Mathematical Physics » Linear Vector Space » Orthogonality and Completeness

Appeared in Year: 2012

MCQ▾

Question

Identify the correct statement for the vectors and

Choices

Choice (4) Response

a.

The vectors and linearly dependent

b.

The vectors and are orthogonal

c.

The vectors and are normalized

d.

The vectors and are linearly independent

Question number: 112

» Mathematical Physics » Elements of Complex Analysis » Residue Theorem and Applications

Appeared in Year: 2012

MCQ▾

Question

The value of the integral , using the contour of circle with unit radius is –

Choices

Choice (4) Response

a.

b.

c.

d.

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