Question

Determine the wavelength, in meters, of a wave that has a frequency of 1.25 x 1020 Hz.

And what type of wave/ray is it?

Answer 1

Frequency of wave is given 1.25 × 10²⁰ Hz

We have been asked to determine the wavelength of that wave ( in metres) .

We Know the speed of light in air/vacuum is

c = 3 × 10⁸ m/s

❍
`\\{\underline{\boxed{\green{\bf{f = (c)/( \lambda) }}}}}`

Put the value we obtain

`\sf \implies \: 1.25 * {10}^(20) = \frac{3 * {10}^(8) }{ \lambda} \\ \\ \sf \implies \lambda \: = \frac{3 * {10}^(8) }{1.25 * {10}^(20) } \\ \\ \sf \implies \lambda = \frac{3}{1.25 * {10}^(12) } \\ \\ \sf\implies \lambda = 2.4 * {10}^( - 12) m`

So, the wavelength of the wave is 2.4 × 10⁻¹² m

It would be Gamma Ray .