Question

Cosmic rays are high energy radiation from outer space. What is the frequency of a cosmic ray that has a wavelength of 2.67x10¹³ m when it reaches Earth? ? (The speed of light is 3.00 x 10⁵ m/8)

a.8.90 x 10⁻²² s⁻¹
b.3.75 x 10¹² s⁻¹
c.8.01 x 10⁻⁵ s⁻¹
d.1.12 x 10²⁵ s⁻¹

Answer 1

The frequency of the cosmic ray with a wavelength of 2.67x10¹³ m is 1.12 × 10¹²⁵ s⁻¹.

Step-by-step explanation:

The frequency of a cosmic ray can be found by using the relationship between speed, frequency, and wavelength for electromagnetic radiation. The equation c = λ
u indicates that the speed of light (c) is equal to the product of the wavelength (λ) and the frequency (ν). With the given wavelength of 2.67x10¹³ m, we can rearrange the equation to solve for frequency: ν = c / λ.

The speed of light is commonly accepted as 3.00 × 10⁸ m/s, so substituting the given values, we find:

ν = (3.00 × 10⁸ m/s) / (2.67 × 10¹³ m) = 1.12 × 10¹²⁵ s⁻¹.

Therefore, the frequency of the cosmic ray is 1.12 × 10¹²⁵ s⁻¹.