There is almost no helium in ordinary air, so helium sprayed near a leak in a va

Question

There is almost no helium in ordinary air, so helium sprayed near a leak in a vaccum system will enter the system will enter the system and quickly show up in the output of a vaccum pump connected to such a system. you are designing a leak detector that uses a mass spectrometer to detect He4 ion (charge +e =1.6x10^-19 c, mass m=6.65x10^-27 kg). The ion emerge from the velocity a magnetic field B and are detected at a distance 10.16cm from the exit of velocity selector. Calculate Magnetic field of strength.

Explanation / Answer

Solution) We have radius r=(mv/Bq) (1)

r=(1/2)(10.16×10^(-2))=5.08×10^(-2)m

From (1) Magnetic field B=(mv/qr)

B=((6.65×10^(-27)×(v))/(1.6×10^(-19)×5.08×10^(-2))

B=0.8181×10^(-6)v T

Please substitute v so you get desired value . The value of velocity v is not given

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