5) Alpha particles (charge-2e, mass-668 × 10 27 ke, e final orbit radius of O 1

Question

5) Alpha particles (charge-2e, mass-668 × 10 27 ke, e final orbit radius of O 1 60 × 10-19 C) are accelerated in a cyclotron to a tinal orbit radius of 0.90m. The magnetic field in the cyclotron is 0.30T. The period of the circular motion of the alpha particles is closest to A) 0.44 us. B) 0.67 us. C) 0.87 us. D) 1.1 pas. E) 1.3 us. 6) A straight wire that is 0.60 m long is carrying a current of 2.0 A. It is placed in a uniform magnetic field of strength 0.30 T. If the wire experiences a force of 0.18 N, what angle does the wire make with respect to the ic field? B) 30° C) 35 D) 60 E) 90 7) A horizontal wire carries a current straight toward you. From your point of view, the magnetic field at a point directly below the wire points

Explanation / Answer

solving first question from the page

Q5

for alpha particle

mv^2/r=qvB

we got

v=rqB/m

time period=(2*pi*r)/v=2*pi*r/(rqB/m)=2*pi*m/qB=0.44*10^(-6)=0.44 us

Q6

force=ilBsin(x)

we got

sin(x)=force/ilB=0.5

x=30 degree

Q7

using right hand rule

field will be to the right

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