GATE Physics: Questions 59  62 of 622
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Question number: 59
» Quantum Mechanics » Postulates of Quantum Mechanics
Appeared in Year: 2015
Write in Short
Consider a system of eight non – interacting, identical quantum particle of spin in a one dimensional box of length L. The minimum excitation energy of the system, in units of is ________
Question number: 60
» Mathematical Physics » Linear Differential Equations
Appeared in Year: 2015
Question
A function satisfies the ordinary differential equation , where Consider the four statements P, Q, R, S as given below.
P: and are linearly independent solution for all values of
Q: and are linearly independent solution for all values of
R: and 1 are linearly independent solution for
S: and are linearly independent solution for all values of
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
Write in Short
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
Write in Short
Given that the Fermi energy of gold is , the number density of electrons is ________ (up to one decimal place)
(Mass of electron )