A physical quantity S→ is defined as S→=(E→×B→)/μ0, where E→ is electric field, B→ is magnetic field and μ0 is the permeability of free space. The dimensions of S→ are the same as the dimensions of which of the following quantity (ies)
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a
EnergyCharge×Current
b
ForceLength×Time
c
EnergyVolume
d
PowerArea
answer is B.
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Detailed Solution
S→=E→×B→μ0=[S]=[E][B]μ0=[CB][B]μ0=B2μ0[C]B2μ0 has dimensions of energy density ∴ [S]=[ energy [speed]][ volume ]=(ML2T−2)LT-1L3=MT−3