Question

What is the wavelength (in nm) of light having a frequency of 6.6 × 1013 hz? what is the frequency (in hz) of light having a wavelength of 6.06 × 102 nm?

Answer 1

Note that
v = fλ
where
v = velocity
f = frequency
λ = wavelength

Part (a).
v = 3 x10⁸ m/s, the velocity of light
f = 6.6 x 10¹³ Hz, given
Therefore
λ = (3 x 10⁸ m/s)/(6.6 x 10¹³ 1/s)
= 4.5455 x 10⁻⁶ m
= (4.5455 x 10⁻⁶)*(10⁹) nm
= 4545.5 nm

Part (b)
λ = 6.06 x 10² nm = (6.06 x 10²)*10⁻⁹ m = 6.06 x 10⁻⁷ m
v = 3 x 10⁸ m/s, the velocity of light
Therefore
f = (3 x 10⁸ m/s)/(6.06 x 10⁻⁷ m)
= 4.9505 x 10¹⁴ Hz

Answers:
(a) 4545.5 nm
(b) 4.95 x 10¹⁴ Hz