iii) An electron with charge e enters a uniform.
magnetic field B with a velocity v. The
velocity is perpendicular to the magnetic
field. The force on the charge e is given
by
F = Bev Obtain the dimensions of B.
[Ans: [L'MºT?I-']]
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Given : field B
Velocity = v
Charge= e
Solution:
F= Bve
For finding B = F/ve
First we will find dimension
Force = [L ^1 M^1 T^-2]
Velocity = [L^1 M^0 T^-1]
Charge = [L^0 M^0 T^1 I^1]
B = F/ve
[L ^1 M^1 T^-2] ÷ [L^1 M^0 T^-1] [L^0 M^0 T^1 I^1]
= [L ^1 M^1 T^-2] × [L^-1 M^0 T^1] × [L^0 M^0 T^-1 I^-1]
= [L^0 M^1 T^-2 I^-1]
I hope it will help you
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