Understanding the Relationship

The relationship between the wavelength (λ), frequency (ν), and the speed of light (c) is given by:

c = λν

Where:

* c = speed of light (approximately 3 x 10⁸ m/s)

* λ = wavelength (in meters)

* ν = frequency (in Hertz, Hz)

Calculation

1. Rearrange the equation to solve for wavelength:

λ = c / ν

2. Plug in the values:

λ = (3 x 10⁸ m/s) / (2.73 x 10²⁰ Hz)

3. Calculate the wavelength:

λ ≈ 1.10 x 10⁻¹² meters

Converting to a More Convenient Unit

Since the wavelength is very small, it's often expressed in picometers (pm):

* 1 picometer (pm) = 10⁻¹² meters

Therefore, the wavelength of the gamma ray is approximately 1.10 pm.