Question

1. A beam of light has a frequency of 6.41 x 1014 Hz. What is the wavelength of the light in meters?
C = 3.0 x 108 m/s; h = 6.626 x 10-34 ;s

Answer 1

The answer for the following problem is mentioned below.

• Therefore the wavelength of the light is 0.468 × 10^-6 meters

Explanation:

Energy:

The capacity to do work

Given:

frequency of the light (ν) = 6.41 × 10^14 Hz

Also given;

c = 3×10^8 m/s

h = 6.626 × 10^-34 J/s

Where,

h represents the Planck's constant

the value of h is 6.626 × 10^-34 J/s

c represents the speed of the light in the vacuum

We know;

E = h × ν

E  represents the energy of the light.

E = 6.626 × 10^-34 × 6.41 × 10^14

E = 42.47 × 10^ -20 J

Given:

energy (E) = 42.47 × 10^-20 J (i.e.) from the above calculation

c = 3×10^8 m/s

h = 6.626×10^-34 J/s

We know;

E =(h×c)÷λ

λ = $\frac{E}{h*c}$

λ =$\frac{6.626*10^{-34} *3*10^{8} }{42.47*10^{-20} }$

λ = 0.468 × 10^-6 m

Therefore the wavelength of the light is 0.468 × 10^-6 meters