1000 Solved Problems in Modern Physics

Appendix: Problem Index 627

9.2.9 Emulsions

Range-energy graph for^2 H and^3 He 9.66

9.2.10 Motion of Charged Particles in Magnetic Field

p= 0 .3Br 9.67

An energetic proton heading toward earth’s centre just

misses it

9.68

Null deflection in crossedEandB 9.69

Mass of particle fromEandr 9.70

Deflection of a particle in magnetic field 9.71

An electron recrossingx-axis in electric field 9.72

Radius of curvature of helical path 9.73

A proton circling around magnetic equator 9.74

Power delivered to earth by cosmic rays 9.75

Mass spectroscopy of kaons 9.76

9.2.11 Betatron

Electron energy 9.77

Number of revolutions,Emaxand<E> 9.78

9.2.12 Cyclotron

KE in terms ofrandB 9.79

Field strength and acceleration time 9.80

ΔBfor cyclotron resonance 9.81

Resonance condition forP,D,α 9.82

Range of frequency modulation in synchrocyclotron 9.83

Calculation ofBandrfor givenEmaxandf 9.84

Drop ofBfor cyclotron resonance when alphas are accelerated

instead of deuterons

9.85

Tmaximparted to electron from proton collision 9.86

To calculate final frequency from given initial frequency andEmax

for protons

9.87

9.2.13 Synchrotron

Rof protons for givenBandE 9.88, 89

Percentage depth of modulation 9.90

Energy loss in electron synchrotron 9.91

Derivation ofR=m 0 c(n^2 + 2 n)^1 /^2 /qB,n=T/m 0 c^2 9.92

Proton energy when B rises to known value 9.93

Acceleration of D and^3 He when protons are replaced 9.94

GivenB,V,φsandTmaxfor protons, to findr,tto calculateΔf

(initial), frequency modulation range

9.95

Feasibility of 500 GeV electron synchrotron 9.96

KE of proton in known orbit making 1 revolution/μs9.97

For an electron synchrotron to find initial RF, total time and

distance traveled

9.98