GATE Physics: Questions 109 - 111 of 323

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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 (Ek) relationship near the bottom of a band for a solid can be approximation as E=A(ka)2+B(ka)4 , where the lattice constant a=2.1 . The values of A and B are 6.3×1019J and 3.2×1020J , 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 =1.05×1034Js, mass of free electron =9.1×1031kg )

Question number: 110

» Electromagnetic Theory » Scalar and Vector Potentials

Appeared in Year: 2016

MCQ▾

Question

The direction of f for a scalar field f(x,y,z)=12x2xy+12z2 at the point P(1, 1,2) is –

Choices

Choice (4) Response

a.

j^2k^5

b.

j^2k^5

c.

j^+2k^5

d.

j^+2k^5

Question number: 111

» Mathematical Physics » Linear Vector Space » Orthogonality and Completeness

Appeared in Year: 2012

MCQ▾

Question

Identify the correct statement for the vectors a=3i^+2j^ and b=i^+2j^

Choices

Choice (4) Response

a.

The vectors a and b linearly dependent

b.

The vectors a and b are orthogonal

c.

The vectors a and b are normalized

d.

The vectors a and b are linearly independent

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