13.-1 points WalkerWA4 22.P012 My Notes Ask Your Teacher The figure below shows

Question

13.-1 points WalkerWA4 22.P012 My Notes Ask Your Teacher The figure below shows the schematic for a mass spectrometer which consists of a velocity selector and a deflection chamber. The magnitude of the magnetic field in both the velocity selector and the deflection chamber is 0.0610 T, and the electric field between the plates of the velocity selector is 5600 V/m. If a singly charged ion with a mass of 1.17 × 10-26 kg travels through the velocity selector and into the deflection chamber, determine the radius of its trajectory in the deflection chamber.

Explanation / Answer

In velocity selection chamber

net force on ion = 0

Fnet = 0

Fb - Fe = 0

Fb = magnetic force = q*v*B*sintheta

theta = 90

Fe = electric force = E*q

q*v*B - E*q = 0

v = E/B

speed v = 5600/0.061 = 9.18*10^4 m/s

In deflection chanber

Fnet = Fb = m*v^2/r

q*v*B = m*v^2/r

r = m*v/(qB)

r = radius of circular path

r = 1.17*10^-26*9.18*10^4/(1.6*10^-19*0.061)

radius r = 0.11 m <<<<---------------ANSWER

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