Question

Calculate the frequency and energy of a photon that has a wavelength of 1075.0nm.

Answer 1

We have

wavelength $\lambda$ = 1075.0 nm = 1075 $\times$ 10^-9 m

We know the formula

frequency (v) = Speed of light (c) / wavelength

where speed of light = 3.00 $\times$ 10⁸ m/s

So by solving with given values we get

frequency (v) = 3.00 $\times$ 10⁸ m/s / 1075 $\times$ 10^-9 m = 2.78 $\times$ 10¹⁴ Hz

Now for energy we have formula

Energy (E) = hc/ $\lambda$

Where h = Plancks constant = 6.626 $\times$ 10^{- 34} J.s

So we get

Energy = 6.626 $\times$ 10^{- 34} J.s $\times$  3.00 $\times$ 10⁸ m/s / 1075 $\times$ 10^-9 m

= 1.85 $\times$ 10^{- 19} J