You visited us 1 times! Enjoying our articles? Unlock Full Access!

Planck's Quantum Hypothesis

Planck consta...

Question

Planck constant has the dimension of :

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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 $6.6 \times 10^{- 34} J s$

Suggest Corrections

Similar questions

(a \times b)

E = \frac{b - x^{2}}{a t}

E

x

t

X

= \sqrt{(\frac{X}{density})}

X

	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)	$[M L^{2} T^{- 2} K^{- 1}]$

Join BYJU'S Learning Program