Physics

The dimensional formula for magnetic flux is:


ANSWER

$$(ML^2T^{-2}A^{-1})$$


SOLUTION
The magnetic flux if given by
$$\phi=BAcos\theta$$
If $$cos\theta=1$$
The maximum magnetic flux, $$\phi=BA$$. . . . . .(1)
where, $$B=$$ magnetic field
$$A=area$$ 
The dimensional formula for magnetic field,
$$F=qvB$$
where, $$v=$$ velocity
$$q=$$ charge,
$$B=$$ magnetic field
$$[B]=\dfrac{M^1 L^1T^{-2}}{[A^1 T^1][L^1T^{-1}]}$$
$$[B]=[M^1L^0T^{-2}A^{-1}]$$
for area, $$[A]=[M^0 L^2 T^0]$$
The dimensional formula for magnetic flux,
$$[\phi]=[M^1L^0 T^{-2}A^{-1}].[M^0L^2T^0]$$
$$[\phi]=[M^1L^2T^{-2}A^{-1}]$$
The correct option is A.
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Single Correct Medium Published on 18th 08, 2020
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