Planck constant has the dimension of :

M^{- 1} L^{2} T^{- 1}

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M L^{- 2} T^{- 1}

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M L^{2} T^{- 1}

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C M L^{3} T^{- 1}

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Solution

The correct option is C $M L^{2} T^{- 1}$
The energy of one photon is $E = \frac{h c}{λ} = \frac{6.6 \times 10^{- 34} \times 3 \times 10^{8}}{400 \times 10^{- 9}} = 4.95 \times 10^{- 19}$
The number of photons required is $\frac{3.1 \times 10^{- 18} J}{4.95 \times 10^{- 19}} = 6.3 ≃ 7$
Planck constant has the dimension of $M L^{2} T^{- 1}$ .
Its value is equal to $6.6 \times 10^{- 34} J s$

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	Column I (Units)		Column II (Dimensional formulae)
(A)	Pa s	(p)	$[M^{0} L^{2} T^{- 2} K^{- 1}]$
(B)	N m K $^{- 1}$	(q)	$[M L T^{- 3} K^{- 1}]$
(C)	J kg $^{- 1}$ K $^{- 1}$	(r)	$[M L^{- 1} T^{- 1}]$
(D)	W m $^{- 1}$ K $^{- 1}$	(s)	$[M L^{2} T^{- 2} K^{- 1}]$

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