cwww.webassign Responses/last?dep 16440669 kg m2/s 3. 3 points YF13 27 P021 My N

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cwww.webassign Responses/last?dep 16440669 kg m2/s 3. 3 points YF13 27 P021 My Notes Ask Your A deuteron (the nucleus of an isotope of hydrogen) has a mass of 3.34 x 10-27 kg and a charge of +e. The deuteron travels in a circular path with a radius of 6.26 mm in a magnetic field with magnitude 1.20 T (a) Find the speed of the deuteron m/s (b) Find the time required for it to make one half of a revolution. (c) Through what potential difference would the deuteron have to be accelerated to acquire this speed? My Notes Ask Your Teacher 4 points YF1327.P030 A part ticle with initial velocity vo (5.99 x 103 m/s) J enters a region of uniform electric and magnetic fields. The magnetic field in the region is OType here to search

Explanation / Answer

a) magnetic force = centripetal force

qVB = mV^2 / R

v = qBR / m

= 1.6*10^-19*1.2 *0.00626 / 3.34*10^-27

= 3.6*10^5 m/s

b) time taken = pi*r / v

= pi*0.00626 / 3.6*10^5

= 5.46*10^-8 s

c) potential difference = change in KE / charge

= 0.5mv^2 /q

= 0.5*3.34*10^-27*(3.6*10^5)^2 / 1.6*10^-19

= 1352.7 V

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