GATE Physics: Questions 59 - 62 of 622

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Question number: 59

» Quantum Mechanics » Postulates of Quantum Mechanics

Appeared in Year: 2015

Short Answer Question▾

Write in Short

Consider a system of eight non – interacting, identical quantum particle of spin Equation in a one dimensional box of length L. The minimum excitation energy of the system, in units of Equation is ________

Question number: 60

» Mathematical Physics » Linear Differential Equations

Appeared in Year: 2015

MCQ▾

Question

A function Equation satisfies the ordinary differential equation Equation , where Equation Consider the four statements P, Q, R, S as given below.

P: Equation and Equation are linearly independent solution for all values of Equation

Q: Equation and Equation are linearly independent solution for all values of Equation

R: Equation and 1 are linearly independent solution for Equation

S: Equation and Equation are linearly independent solution for all values of Equation

The correct option for the combination of valid statements is –

Choices

Choice (4) Response

a.

P, R and S

b.

Q and R

c.

P and R

d.

R and S

Question number: 61

» Classical Mechanics » Rigid Body Motion

Appeared in Year: 2015

Short Answer Question▾

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In a rigid – rotator of mass M, if the energy of the first excited state is 1 MeV, then the fourth excited state energy (in MeV) is ________

Question number: 62

» Thermodynamics and Statistical Physics » Degenerate Fermi Gas

Appeared in Year: 2015

Short Answer Question▾

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Given that the Fermi energy of gold is Equation , the number density of electrons is ________ Equation (up to one decimal place)

(Mass of electron Equation )

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