Please read the questions carefully and answer ALL PARTS AND SHOW ALL YOUR WORK,

Question

Please read the questions carefully and answer ALL PARTS AND SHOW ALL YOUR WORK, this is a study guide and I really need to use this to study and learn the concepts. Thank you in advance!

There is almost no helium in ordinary air, so helium sprayed near a leak in a vacuum system will enter the system and quickly show up in the output of a vacuum pump connected to such a system. You are designing a leak detector that uses a mass spectrometer to detect "He ions (charge +e 1.6x10-19 C, mass m = 6.65x10-27 kg). The ions emerge from the velocity selector with a speed of 10s m/s. They are curved in a semicircular path by a magnetic field B and are detected at a distance 10.16 cm from the exit of velocity selector Calculate B' 1. -14

Explanation / Answer

Radius

R=10.16/2 =5.08 Cm

Here centripetal force is balanced by magnetic force

FC=FB

mV2/R =qVB

=>B=mV/qR =(6.65*10-27)*(105)/(1.6*10-19)(0.0508)

B=0.0818 T

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