1000 Solved Problems in Modern Physics

616 Appendix: Problem Index

Maximum and minimum muon energy from the decay sequence

K→π→μ

6.14

Mass of a particle decaying into three pions of known energies

and emission angles

6.15

6.2.2 Length, Time, Velocity

Contraction of a rod traveling with known velocity 6.16

Speed of a rod shrunk by known length 6.17

Shrinking of earth’s diameter 6.18

Speed of muons from lifetime measurement 6.19

Lifetime of muons of known velocity from observed

lifetime

6.20

Average distance of muons before decaying in lab system and

muon system

6.21

Velocity with which a person must travel from the centre to the edge

of our galaxy so that the trip may last 40 years

6.22

A pion produced in earth’s atmosphere 1 km above sea level travels

vertically down with speed of 0.99cand decays. To locate the

decay point

6.23

Relative velocity of two particles approaching each other with

velocity 0.5ceach

6.24

Observed length of an evacuated tube when the observer travels

with the speed of that of 100 MeV electron

6.25

Speed of a spacecraft when the mass of a 100 kg man in the

spacecraft is registered as 101 kg from earth

6.26

When a spaceship moving with speed of 0.5cpasses near Mars a

radio signal is sent from Mars which is received on earth 1,125 s

later. Time taken by spaceship to reach earth according to observers

on earth and spaceship crew

6.27, 28

A spaceship is moving away from earth with speed 0.6c. A radio

signal is sent from the earth when the ship is 5× 108 km from earth.

To find the time for the signal to reach the ship according to earth’s

observers and ship’s crew

6.29, 30

Mean lifetime of pion of known energy from track length up to

decay point

6.31

Intensity of neutrino flux at the end of flight path of pions. GivenE,

I 0 ,Landτπ

6.32

Distance traveled by pion of KE=mπc^2 6.33

Technique for obtaining a neutrino beam free from contamination

of pions and muons

6.34

Mean lifetime of pions of known energy and initial intensity from

counting rates in three counters

6.35

Velocity with which an observer must move such that the velocities

of two objects appear to have equal and opposite velocities

6.36

Lifetime measurement from observations of counting rate of a beam

of particles of given velocity recorded in two counters in tandem

6.37