(a) Singly charged uranium-238 ions are accelerated through a potential differen
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Question
(a) Singly charged uranium-238 ions are accelerated through a potential difference of 2.50 kV and enter a uniform magnetic field of 1.60 T directed perpendicular to their velocities. Determine the radius of their circular path.? cm
(b) Repeat for uranium-235 ions.
? cm
(c) How does the ratio of these path radii depend on the accelerating voltage ?V and on the magnitude of the magnetic field strength B?
-It is proportional to ?V / B.
-It is inversely proportional to ?V / B.
-It is proportional to ?V B.
-It is inversely proportional to ?V B.
-It is independent of ?V and B.
Explanation / Answer
a) kinietic energy gained = qV =2.5KeV, m=238a.m.u
velocity v=(2mk = 5.64*10^-22
r= mv/qB = 8.75*10^-28
b)for U-235
r mv
vm,rmm
r = 8.75*10^-28*(235/238)1.5=8.59*10^-28
c) since r= mv/qB
r mv , for constant B
r1/r2 = m1v1/m2v2 since vm and k is same for both
= (m1/m2)3/2
-It is independent of V and B.
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