A singly ionized 24 Mg ion (mass 3.983 10 -26 kg) is accelerated through a 2.2 k

Question

A singly ionized 24Mg ion (mass 3.983 10-26 kg) is accelerated through a 2.2 kV potential difference and deflected in a magnetic field of 530 G in a mass spectrometer.

(a) Find the radius of curvature of the orbit for the ion.

_____________cm

(b) What is the difference in radius for 26Mg and 24Mg ions? (Assume that their mass ratio is 26/24.)

__________________cm

A singly ionized 24Mg ion (mass 3.983 10-26 kg) is accelerated through a 2.2 kV potential difference and deflected in a magnetic field of 530 G in a mass spectrometer. Find the radius of curvature of the orbit for the ion. _____________cm What is the difference in radius for 26Mg and 24Mg ions? (Assume that their mass ratio is 26/24.) __________________cm

Explanation / Answer

r= mV/qB

but 1/2*m*v^2=qV

so v^2=2qV/m

thus

r= m*root(2qV/m)/qB

r= root(2mV/q)/B

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