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Q.

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
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