#266 Singly charged uranium-238 ions are accelerated

Singly charged uranium-238 ions are accelerated - Physics

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Free Chegg Question

Singly charged uranium-238 ions are accelerated through a potential difference of 2.26 kV and enter a uniform magnetic field of magnitude 1.98 T directed perpendicular to their velocities. (a) Determine the radius of their circular path. (Give your answer to three significant figures.) ............ cm (b) Repeat this calculation for uranium-235 ions. (Give your answer to three significant figures.) ............ cm (c) How does the ratio of these path radii depend on the accelerating voltage? (d) How does the ratio of these path radii depend on the magnitude of the magnetic field? 

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Free Chegg Answer

radius = mv/qB
a) Mass= 238 amu
q= 1.6e-19
B=1.98 T
also
0.5mv^2= 2260
v = sqrt( 2260*2/m)
Put all to get answer
b) all remain same expec M = 235 amu
c) ratio is independent of accelerating voltage
d) ratio is Independent of B