A mass spectrometer is a device that sorts atoms by their mass. The atoms are fi

Question

A mass spectrometer is a device that sorts atoms by their mass. The atoms are first ionized by stripping off one electron. Then they are sent through a velocity selector (see previous problem) that selects ions with only a specific speed v. These are then sent into a region of space with a known magnetic field B directed perpendicular to v. The ions follow circular paths of different radii, and wind up at different locations on a photographic plate. Say we give n^+_2 ions, O^+_2 ions, and NO^+ ions the same speed of 30.0 km/s and set the magnetic field strength in the spectrometer to B = 0.03 T. How far from the entry point would the spot on the photographic plate be for each of these ions? Assume that N atoms have mass 14.0 u and O atoms have mass 16.0 u.

Explanation / Answer

Answer:-

Given Data:

Nmass = 14 u

Omass = 16.0 u

B = 0.03T

V = 30 km/s = 30000 m/s

Consider Q = 1.6 x10-19 C

First convert the mass from u to Kg

Nmass = 14 *1.7 x10-27 = 23.8x10-27 Kg

Omass = 16x1.7x10-27 =27.2x10-27 Kg

now we will use below formula to calculate the distance of photographic plate.

r = mxV/BQ

rN = 23.8x10-27*30000 / 0.03 *1.6 x10-19

=0.14 m

rN = 27.2x10-27*30000 / 0.03 *1.6 x10-19

= 0.17m

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