A mass spectrometer is designed to separate singly-ionized protein fragments of

Question

A mass spectrometer is designed to separate singly-ionized protein fragments of charge q=e. The fragments enter a B=0.80 T uniform magnetic field at a speed v = 1.0 x 105 m/s, see the Figure. For fragment of mass 153 times the mass of the proton, the distance between the points of entry and exit in the magnetic field after half a turn is closest to?

a. 0.40 m

b. none of these

c. 0.22 mm

d. 0.20 m

e. 0.30m

A mass spectrometer is designed to separate singly-ionized protein fragments of charge q=e. The fragments enter a B=0.80 T uniform magnetic field at a speed v = 1.0 x 105 m/s, see the Figure. For fragment of mass 153 times the mass of the proton, the distance between the points of entry and exit in the magnetic field after half a turn is closest to? a. 0.40 m b. none of these c. 0.22 mm d. 0.20 m e. 0.30m

Explanation / Answer

Radius of the turn is R = (m*v)/(q*B) = (153*1.67*10^-27*1*10^5)/(1.6*10^-19*0.8) = 0.199

but the required answer is 2R = 2*0.199 = 0.398 m

closest to A) 0.4 m

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