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Q.

Out of the following options, which one has the dimension of electrical resistance ε0is the permittivity of vacuum and μ0 is the permeability of vacuum)?

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a

μ0ε0

b

μ0ε0

c

ε0μ0

d

ε0μ0

answer is B.

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Detailed Solution

[εo]=M−1L−3T4A2μ0=M1L2T−2A−2[R]=ML2T-3A−2[R]=ε0aμ0bML2T−3A−2=M−aL−3aT4aA2aMbL2bT−2bA−2bequating power of A, L,T and M2a−2b=−2a−b=−14a−2b=−32a−2b=−22a=−1a=−12,b=12⇒[R]=μ0ε0
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