Which of the following physical quantities has the dimensions M−1L−3T3A2?
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a
resistance
b
resistivity
c
electrical conductivity
d
electromotive force
answer is C.
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Detailed Solution
Relation between Current density and electric field is given asJ=σEBy principle of homogeneity,[σ]=JE…… (i) Now, by E=Fq[E]=Fq=M1L1T−2AT……(ii)=M1L1T−3A−1Current density is the current per unit area, so[J]=AL2=L−2A……. (iii) By (i), (ii) and (iii), we get[σ]=M−1L−3T3A2