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

 Force  Length × Time 

b

 Energy  Volume 

c

 Power  Area 

d

 Energy  Ch arg e × Current 

answer is B, D.

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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 ]=ML2T2L3LT1=MT3

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