Question

is
The dimensional formula of -
mula of B2
Hogy is where
magnetic field, a charge, V electric potential and Ho
permeability]
(1) [M L T ] (2) [ML-Tº
(3) [Mº L3 Tºy (4) [
ML TO​

Answer 1

we have to find the dimension of β²/μ₀qv.

where

• β is magnetic field
• μ₀ is permeability of medium
• q is charge
• v is electric potential.

solution : dimension of magnetic field, β = [MT¯²A¯¹]

dimension of permeability of medium, μ₀ = [MLT¯²A¯²]

dimension of charge, q= [AT]

dimension of potential, v = [ML²T¯³A¯¹]

now, dimension of β²/μ₀qv = [MT¯²A¯¹]²/[MLT¯²A¯²][AT][ML²T¯³A¯¹]

= [M²T¯⁴A¯²]/[M²L³T¯⁴A¯²]

= [M⁰L¯³T⁰]

Therefore the dimension of β²/μ₀qv is [M⁰L¯³T⁰]