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Question

The dimensional formula for magnetic flux is:

A
(ML2T2A1)
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B
(ML3T2A2)
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C
(M0L2T2A2)
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D
(ML2T1A2)
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Solution

The correct option is A (ML2T2A1)
The magnetic flux if given by
ϕ=BAcosθ
If cosθ=1
The maximum magnetic flux, ϕ=BA. . . . . .(1)
where, B= magnetic field
A=area
The dimensional formula for magnetic field,
F=qvB
where, v= velocity
q= charge,
B= magnetic field
[B]=M1L1T2[A1T1][L1T1]
[B]=[M1L0T2A1]
for area, [A]=[M0L2T0]
The dimensional formula for magnetic flux,
[ϕ]=[M1L0T2A1].[M0L2T0]
[ϕ]=[M1L2T2A1]
The correct option is A.

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