CSIR Physical Sciences: Questions 37 - 39 of 389

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Question number: 37

» Quantum Mechanics » Dirac Notation for State Vectors

Appeared in Year: 2014

MCQ▾

Question

Let ψ1 and ψ2 denoted the normalized eigenstate of a particle with energy eigenvalue E1 and E2 respectively, with E2>E1 . At time t=0 the particle is prepared in a state ψ(t=0)=12(ψ1+ψ2) . The shortest time T at which ψ(t=T) will be orthogonal to ψ(t=0) is – (December)

Choices

Choice (4) Response

a.

π4(E2E1)

b.

2πE2E1

c.

π2(E2E1)

d.

πE2E1

Question number: 38

» Electromagnetic Theory » Electrostatics: Gauss's Law and Its Applications

Appeared in Year: 2012

MCQ▾

Question

Three charges are located on the circumference of a circle of radius R as shown in the figure below. The two charges Q subtend an angle 900 at the centre of the circle. The charge q is symmetrically placed with respect to the charges Q. If the electric field at the centre of the circle zero, what is the magnitude of Q? (December)

Three charges located on a circle

Three Charges Located on a Circle

In figure three charges are located on the circumference of a circle of radius R. The two charges Q subtend an angle 900 at the centre of the circle. The charge q is symmetrically placed with respect to the charges Q.

Choices

Choice (4) Response

a.

2q

b.

4q

c.

q2

d.

2q

Question number: 39

» Classical Mechanics » Lagrangian and Hamiltonian Formalism and Equations of Motion

Appeared in Year: 2014

MCQ▾

Question

A particle of mass m and coordinate q has the Lagrangian L=12mq˙2λ2qq˙2 ; where λ is a constant. The Hamiltonian for the system is given by, (June)

Choices

Choice (4) Response

a.

p22m+λqp22(mλq)2

b.

p22(mλq)

c.

p22m+λqp22m2

d.

pq˙2

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