CSIR Physical Sciences: Questions 25 - 27 of 401

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Question number: 25

» Quantum Mechanics » Spin-Statistics Connection

Appeared in Year: 2013

MCQ▾

Question

In a basis in which the z – component Sz of the spin is diagonal, an electron is in a spin state,

ψ=(1+i623)

The probability that a measurement of Sz will yield the value 2 and 2 are, respectively,

Choices

Choice (4) Response

a.

13and23

b.

14and34

c.

23and13

d.

12and12

Question number: 26

» Classical Mechanics » Periodic Motion » Normal Modes

Appeared in Year: 2013

MCQ▾

Question

The acceleration due to gravity g is determined by measuring the time period T and the length L of a simple pendulum. If the uncertainties in the measurements of T and L are ΔT and ΔL respectively, the fractional error Δgg in measuring g is best approximated by, (June)

Choices

Choice (4) Response

a.

ΔL L+ 2ΔT T

b.

ΔL 2L+ ΔT 2T

c.

ΔL L+ ΔT T

d.

(ΔLL)2+(2ΔTT)2

Question number: 27

» Electromagnetic Theory » Gauge Invariance

Appeared in Year: 2013

MCQ▾

Question

The components of a vector potential Aμ(A0,A1,A2,A3) are given by,

Aμ=k(xyz,yzt,zxt,xyt)

Where k is a constant. The three component of the electric field are – (June)

Choices

Choice (4) Response

a.

(0,0,0)

b.

k(xt,yt,zt)

c.

k(yz,zx,xy)

d.

k(x,y,z)

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