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

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## Question number: 109

Appeared in Year: 2016

### 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

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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