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Q.

Match the following and select the correct alternatives from the codes given below

 Column I Column II
(p)Unit of magnetic induction(B) (u)M1L1T-2A-2
(q)Dimensions of B(v)M1L0T-2A-1
rUnit of μ0(permeability)(x) newton/ampere-meter
(s)Dimensiions of μ0(y)newton/(Ampere)2
(t)Dimensions of magnetic moment(z)M0L2T0A1

codes

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a

p-y, q-v, r-x, s-z, t-u

b

p-y, q-z, r-x, s-u, t-v

c

p-x, q-u, r-y, s-z, t-v

d

p-x, q-v, r-y, s-u, t-z

answer is C.

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Detailed Solution

F = BIL            or   B = FIL

  Units of B is Newton/Amp-meter

Dimension of B is ML0T-2A-1

B= μ0ni       or  μ0 = Bni = BiLN

unit of μ0 = Newton/(Amp)2

Dimension of μ0 = MLT-2A-2

Magnetic moment = iA

So, dimension of magnetic moment is M0L2T0A1

Hence 3 is correct alternative.

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