Question

xrays are used to diagnose diseases of internal body organs. What is the frequency of an X ray with a wavelentgh of 1.15*10^-10

Answer 1

2.61 × 10¹⁸ Hz

Step-by-step explanation:

We can find the frequency of an X-ray using the following expression.

c = λ × ν

where,

c is the speed of light

λ is the wavelength of the X-ray

ν is the frequency of the X-ray

c = λ × ν

ν = c / λ = (3.00 × 10⁸ m/s) / (1.15 × 10⁻¹⁰ m) = 2.61 × 10¹⁸ s⁻¹ = 2.61 × 10¹⁸ Hz

The frequency of the X-ray is 2.61 × 10¹⁸ Hz.

Answer 2

2.31 EHz

Explanation:

The formula relating the frequency (f) and wavelength (λ) is

fλ = c Divide both sides by λ

f = c/λ

c = 2.998 × 10⁸ m·s⁻¹

λ = 1.15 × 10⁻¹⁰ m Calculate f.

f = 2.998 × 10⁸/1.15 × 10⁻¹⁰

f = 2.61 × 10¹⁸ s⁻¹ = 2.61 EHz