Question

3. Find the wavelength if the energy of light is 3.36x10 to the -17th power J.

a. write Formula
b. show Work
& Answer in m
d. Convert m to nm
e. Conversion Factor:
f. Work
6. Answer in nm:​

Answer 1

1.52 × 10⁻¹⁶ nm

Step-by-step explanation:

We are given,

Energy = 3.36 × 10⁻¹⁷ Joules

We are required to find the wavelength of light

We are going to use,

The formula, E = hλ/c

Where E is the energy, λ is the wavelength, h is the plank's constant and c is the speed of light.

h = 6.626 × 10^-34 J-s

c = 2.998 × 10^8 m/s

Working

From the formula;

`Wavelength=(Ec)/(h)`

= (3.36 × 10⁻¹⁷ J)(2.998 × 10^8 m/s) ÷ 6.626 × 10^-34 J-s

= 1.52 × 10⁻²⁵ meters

Therefore, the wavelength in m is 1.52 × 10⁻²⁵ m

Conversion

We need to convert m to nm

Conversion factor is 10⁹

Therefore;

1.52 × 10⁻²⁵ m to nm

will be; 1.52 × 10⁻²⁵ m × 10⁹

= 1.52 × 10⁻¹⁶ nm

Thus, the wavelength in nm is 1.52 × 10⁻¹⁶ nm