First slide

Electromagnetic radiation and spectra

Question

Calculate the energy in joule corresponding to light of wavelength 45 nm. (Planck's constant, h = 6.63 × $10^{- 34}$ Js , speed of light,
c = 3 ×10⁸ ms^-1)

Moderate

A

$6.67 \times 10^{15}$
B

$6.67 \times 10^{11}$
C

$4.42 \times 10^{- 15}$
D

$4.42 \times 10^{- 18}$

Solution

$E = \frac{hc}{λ} [Given, λ = 45 nm = 45 \times 10^{- 9} m]$
On putting the given values in the equation, we get
$E = \frac{6.63 \times 10^{- 34} \times 3 \times 10^{8}}{45 \times 10^{- 9}} = 4.42 \times 10^{- 18} J$

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