In a mass spectrometer, a singly charged ion having a particular velocity is sel

Question

In a mass spectrometer, a singly charged ion having a particular velocity is selected by using a magnetic field of 0.1 T perpendicular to an electric field of 1000 V/m. A magnetic field of same magnitude is the used to deflect the ions, which move in a circular path radius 1.2 cm.

a) What is the speed of the ions?

b) What is the mass of each ion?

3. In a mass spectrometer, a singly charged ion having a particular velocity is selected by using a magnetic field of 0.1 T perpendicular to an electric field of 1000 V/m. A magnetic field of same magnitude is then used to deflect the ions, which move in a circular path of radius 1.2 cm 3 13 (a) What is the speed of the ions? (b) What is the mass of each ion?

Explanation / Answer

equate the centripetal force on the ion to the magnetic force that causes it to move circular path

F = mv2/r

where F = Bqv it is Magnetic force

Bqv = mv2/r

q=e

m=eBr/v

we dont know the v

But we know the force acting on ion due to both magnetic and electric fields are equal

eE=evB

v=E/B

v=1000/0.1

v=10km/s

b)

from above equatiion we can find the mass

m=eBr/v

m=(1.6 X 10-9 X0.1 X 0.12)/10Km/s

m=0.00192 X 10-11kg

m=1.92 X 10-9kg

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