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Question

Please show final answer with steps ..

Please show final answer with steps ..

Positively charged Uranium isolopes leave a vetocuy selector with electric field 1 00X105 V/m and perpendicular magnetic field 0.S0T. Find their velocity. Exiting the velocity selector at this speed. Uranium 235 nuclei (mass 3.925 X 10 25 kg) move through a 0 50 T magnetic fWld with a radius r=0.01066 m. What is the net charge on each nucleus? (hint *23S* is the sum of protons and neutrons, so this should be less than *235e). (10 pis) What Is the ratio oI the radii of the path oi U-235 to U-238(mass 3.975 X 10-25 kg)7

Explanation / Answer

A. electric fiedl amd nagnetic fiedl are realetd by E = Bv

as Eq = qvB

so v = E/B = 1*10^5/0.5

v = 2*10^5 m/s

b.

apply centripetal force = magnetic force

i.e mv^2/r = qvB,

where m = mass o the charged particle

v = velocity,   r = radius ,

q = charge = 1.6*10^-19 C

B = magnetic field

so now , r = mv/qB

so q = mv/Br

q = 3.925 *10-25 * 2*10^5/(0.5*0.01066)

q = 147.2 *10^-19 C   or 1.472*10^-17 C

c. sincwe q = mv/Br

m/r = constant

m1/m2 = r1/r2

r1/r2 = 3.925/3.975

r1/r2 = 0.987

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