Q90 / 120 · VITEEE 2013 · Physics

The dimensional formula of magnetic flux is

  • A
    $\left[\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-1} \mathrm{~A}^{-2}\right]$
  • Correct answer
    B
    $\left[\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]$
  • C
    $\left[\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-1} \mathrm{~A}^{-1}\right]$
  • D
    $\left[\mathrm{M}^{1} \mathrm{~L}^{0} \mathrm{~T}^{-2} \mathrm{~A}^{-1}\right]$

Solution

Magnetic flux, $\phi=\mathbf{B} \cdot \mathbf{A}=\frac{\mathrm{F}}{\mathrm{I} \lambda} \mathbf{A}$ $=\frac{\left[M^{1} L^{+1} T^{-2}\right] L^{2}}{[A . L]}=\left[M^{1} L^{2} T^{-2} A^{-1}\right]$

Hence, the correct answer is option: 'B'.

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