2. (a) In a mass spectrometer two ions with identical charge and speed are accel

Question

2. (a) In a mass spectrometer two ions with identical charge and speed are accelerated into two different semicircular arcs. Ion A’s arc has a radius of 25.0 cm and ion B’s arc’s radius is 50.0 cm. What can you say about their relative masses? (i)mA=mB(ii)mA=2mB
(iii)mA=1/2mB (iv) you can’t say anything given just this data.

(b) In a mass spectrometer, a singly charged ion having a particular velocity is selected by using a magnetic field of 0.10 T perpendicular to an electric field of This same magnetic field is then used to deflect the ion, which moves in a circular path with a radius of 1.2 cm. What is the mass of the ion?

Explanation / Answer

R =MV/qB

here, V,q,B remain same, thus R is directly proporional to M

Ra/Rb=1/2

==>Ma/Mb =1/2....option (iii)

m= qBR/V

=qB2R/E

=1.6x10-19x0.1x0.1x0.012/E

=1.92X10-23/E

you did not provide the magnitude of electriv field... so this is the final expression, put the value of E and get the answer

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