Question

What is the frequency of light having a wavelength of 4.50 x 10 cm
(a) 2.84 x 10-12 s!
(b) 2.10 x 104 s!
(c) 4.29 x 1014 s!
(d) 1.06 x 1022 s!
(e) 6.67 x 1015 s!​

Answer 1

(e) 6.67 x 10¹⁵ s! is the frequency of light having a wavelength of 4.50 x 10⁻⁶ cm.

Step-by-step Explanation:

The relationship between frequency and wavelength is: ν= λ/c

where, ν= frequency

λ= wavelength

c= speed of light ( $3 * 10^{8}$ m/s)

Substituting the given values into the equation, we have,

ν= λ/c

ν $= \frac{3 * 10^8}{4.50 * 10^{-6} }$

ν $= 0.66 * 10^{14}$

ν $= 6.67 * 10^{13}$ cm/s

ν $= 6.67 * 10^{15}$ m/s

Therefore, light having a wavelength of $4.50 * 10^{-6}$ cm has a frequency of $6.67 * 10^{15}$ s!