If energy, planck's constant and speed of light are choosen as fundamental quantities, then dimensional formula of area will be

h^{2} c^{2} E^{2}

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h^{2} c^{2} E^{- 1}

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h^{2} c^{2} E^{- 2}

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h^{2} c^{- 2} E^{- 2}

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Solution

The correct option is C $h^{2} c^{2} E^{- 2}$
We know that,
$E = \frac{h c}{λ}$
$λ = \frac{h c}{E} = [h c E^{- 1}]$

$A r e a = (l e n g t h)^{2} \Rightarrow λ^{2} = h^{2} c^{2} E^{- 2}$

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