Question

Two ions with masses of 4.39×10−27 kg move out of the slit of a mass spectrometer and into a region where the magnetic field is 0.301 T. Each has a speed of 7.92 × 105 m/s, but one ion is singly charged and the other is doubly charged. Find the radius of the circular path followed by the singly charged ion in the field. Answer in units of cm.

Answer 1

7.2 cm

Step-by-step explanation:

magnetic field, B = 0.301 T

speed, v = 7.92 x 10^5 m/s

mass, m = 4.39 x 10^-27 kg

q = 1.6 x 10^-19 C

The radius of singly changed ion is given by

`r = (mv)/(Bq)`

where, m is the mass of ion, v be the speed of ion, B is the magnetic field and q be the charge

`r = (4.39* 10^(-27)* 7.92 * 10^(5))/(0.301* 1.6* 10^(-19))`

r = 0.072 m

r = 7.2 cm