Question

1. a.) Calculate the wavelength of light which has a frequency of 5.25 x 10 14 Hz.

b.) Express in nm.

Answer 1

5.71 × 10² nm

Step-by-step explanation:

The product of wavelength and frequency of a wave gives the speed of the wave.

Therefore;

Velocity of wave = Wavelength × Frequency

c = f ×λ

In our case;

Frequency = 5.25 × 10^14 Hz

Speed of light = 2.998 × 10^8m/s

But;

λ = c ÷ f

= 2.998 × 10^8m/s ÷ 5.25 × 10^14 Hz

= 5.71 × 10^-7 m

But; 1 M = 10^9 nm

Therefore;

wavelength = 5.71 × 10^-7 × 10^9

= 5.71 × 10² nm

The wavelength of light wave 5.71 × 10² nm