A deuteron particle (the nucleus of an isotope of hydrogen consisting of one proton and one neutron and having a mass of 3.34×10−27 kg ) moving horizontally enters a uniform, vertical, 0.620 T magnetic field and follows a circular arc of radius 58.5 cm .
A.) How fast was this deuteron moving just before it entered the magnetic field ? V1 = _________ m/s
B.) How fast was this deuteron moving just after it came out of the field? V2= _________ m/s
C.) What would be the radius of the arc followed by a proton that entered the field with the same velocity as the deuteron? R = ______ cm
According to the concept of the moving charges in magnetic field
F=Bqv
mv^2/r=BqV
mv=Bqr
V=Bqr/m
Given that
mass m=3.34*10^-27kg
magnetic field B=0.62 T
radius r=0.58.5 cm
now we find the speed
speed V=1.6*10^-19*0.62*0.585/3.34*10^-27
=0.174*10^8 m/s
now we find the speed deuteron leaving out to the field
According to the concept of lerontez force magnetic field and speed is always perpendicular to each other
so the velocity does not change only direction is changes
now we find the radius of the arc
radius r=mv/Bq=1.67*10^-27*0.174*10^8/1.6*10^-19*0.62=0.293 m=29.3 cm
Get Answers For Free
Most questions answered within 1 hours.