The dimensional formula for wavelength is equivalent to (Where $E$ is the electric field, $B$ is the magnetic field, $L$ is Induction and $C$ is Capacitance ) :

\frac{E \sqrt{L C}}{B}

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\frac{E}{B \sqrt{L C}}

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\frac{B \sqrt{L C}}{E}

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\frac{B}{E \sqrt{L C}}

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Solution

The correct option is C $\frac{E \sqrt{L C}}{B}$
Dimensional Formula of
L is $M L^{2} T^{- 2} A^{- 2}$
C is $M^{- 1} L^{- 2} T^{4} A^{2}$
E is $M L T^{- 3} A^{- 1}$
B is $M T^{- 2} A^{- 1}$
LC is $T^{2}$
$\sqrt{L C}$ is $T$
$\frac{B}{E}$ is $L^{- 1} T$
Hence , Dimension of wavelength is equivalent to $\frac{E \sqrt{L C}}{B}$

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