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Question

The dimensions of magnetic flux are?

A
[MLT2A2]
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B
[ML2T2A2]
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C
[ML2T1A2]
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D
[ML2T2A1]
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Solution

The correct option is A [ML2T2A1]
The force experienced by a moving charge in a magnetic field is given bu F=q(v×B)

Here, B is the magnetic field or magnetic flux density.

Thus, dimensions of magnetic flux, ϕ=[B]×[Area]=[F][A][q][v]

We know the dimension of the following as,

[F]=[MLT2]

[A]=[L2]

[q]=[AT]

[v]=[LT1]

Thus,

ϕ=[MLT2][L2][AT][LT1]=[ML2T2A1]

Option D

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