#importing modules
import math
from __future__ import division
#Variable declaration
e=1.6*10**-19; #charge(coulomb)
Ek=0.5*10**6; #kinetic energy(eV)
m0=9.11*10**-31; #mass(kg)
c=3*10**8; #velocity of light(m/s)
r=0.1; #radius(m)
#Calculation
x=(Ek*e/(m0*c**2))+1;
y=1-(1/x)**2;
v=c*math.sqrt(y); #velocity of beta article(m/s)
m=m0/math.sqrt(1-(v/c)**2); #mass of beta particle(kg)
B=m*v/(e*r); #flux density(weber/m**2)
#Result
print "velocity of beta article is",round(v/c,4),"c"
print "mass of beta particle is",round(m/m0,2),"m0"
print "flux density is",round(B,6),"weber/m**2"
print "answer in the book varies due to rounding off errors"
#importing modules
import math
from __future__ import division
#Variable declaration
A=226; #atomic weight
Ra=226.02540; #mass of Ra
Rn=222.017571; #mass of Rn
He=4.002603; #mass of He
m=931.5;
#Calculation
Q=(Ra-Rn-He)*m;
kalpha=(A-4)*Q/A; #kinetic energy of alpha particle(MeV)
#Result
print "kinetic energy of alpha particle is",round(kalpha,3),"MeV"
#importing modules
import math
from __future__ import division
#Variable declaration
Ne=22.99465; #mass of Ne
Na=22.989768; #mass of Na
m=931.5;
#Calculation
Q=(Ne-Na)*m; #maximum kinetic energy of electrons(MeV)
#Result
print "maximum kinetic energy of electrons is",round(Q,3),"MeV"
print "answer given in the book is wrong"
#importing modules
import math
from __future__ import division
#Variable declaration
K=39.963999; #mass of K
Ca=39.962591; #mass of Ca
Ar=39.962384; #mass of Ar
me=0.000549; #mass of electron
m=931.5;
#Calculation
Q1=(K-Ar-(2*me))*m; #Q value of 1st decay(MeV)
Q2=(K-Ar)*m; #Q value of 2nd decay(MeV)
#Result
print "Q value of 1st decay is",round(Q1,3),"MeV"
print "Q value of 2nd decay is",round(Q2,3),"MeV"