Question

A particular shade of green light has a wavelength of 5 x 10-7 meters. How many waves of this green light strike you each second, i. E. , what

is its frequency in hertz?

Answer 1

`\huge\boxed{\sf \tilde{\\u} = 2 * 10^6 \ waves}`

`\huge\boxed{\sf f =6 * 10^(14) \ Hz}`

Step-by-step explanation:

Given data:

Wavelength = λ = 5 × 10⁻⁷ m

Required:

1) Wave number =
`\tilde{\\u}` = ?

2) Frequency = f = ?

Formula:

1)
`\tilde{\\u}` = 1 / λ

2) f = c / λ

Where c is speed of light, 3 × 10⁸ m/s.

Solution:

Wave number:

`\tilde{\\u}` = 1 / (5 × 10⁻⁷)

`\tilde{\\u}` = 0.2 × 10⁷

`\tilde{\\u}` = 2 × 10⁶ waves

Frequency:

f = 3 × 10⁸ / 5 × 10⁻⁷

f = 0.6 × 10¹⁵

f = 6 × 10¹⁴ Hz

`\rule[225]{225}{2}`