Answer:
[tex]m = 1.16 \times 10^{-26}\ Kg[/tex]
Explanation:
Given,
Magnetic field, B = 0.5 T
Electric field, E = 1.2 x 10⁵ V/m
strength of the magnetic field that separates the ions, Bo=0.750 T
Radius, r = 2.32 cm
Relation of charge to mass ratio is given by
[tex]\dfrac{q}{m}=\dfrac{E}{BB_0R}[/tex]
[tex]m=\dfrac{qBB_0R}{E}[/tex]
Substituting all the values
[tex]m=\dfrac{1.6\times 10^{-19}\times 0.5\times 0.75\times 02.0232}{1.2\times 10^5}[/tex]
[tex]m = 1.16 \times 10^{-26}\ Kg[/tex]
Mass of Li ions is equal to [tex]m = 1.16 \times 10^{-26}\ Kg[/tex]
