Question

What is the frequency of gamma rays that have a wavelength of $ 6.00\times {{10}^{-12}}~m? $

Answer 1

Hint: Gamma rays have the highest energy of any wave and are created by the universe's hottest and most energetic things. Radio waves, infrared radiation, ultraviolet radiation, X-rays, and microwaves are all examples of electromagnetic radiation. Astronomers study gamma-ray bursts because they can be used to cure cancer.
 $ c=\upsilon \lambda $
where c stands for the speed of light (c in a vacuum, less in other mediums), $ \upsilon $ stands for frequency, and $ \lambda $ is the wavelength.

Complete answer:
The number of times a recurring event occurs per unit of time is known as frequency. It's also referred to as temporal frequency to distinguish it from spatial frequency, and ordinary frequency to distinguish it from angular frequency. The unit of frequency is hertz (Hz), which equals one occurrence per second. The period is the reciprocal of the frequency since it represents the length of one cycle in a recurring occurrence.
From the lowest-frequency radio waves to the highest-frequency gamma rays, all of these waves are basically the same and are referred to as electromagnetic radiation. They all move at the same speed in a vacuum (light speed), giving them wavelengths that are inversely proportionate to their frequencies.
Without looking at the figures, we can see that this expression is consistent DIMENSIONALLY, i.e. we obtain units for frequency of
And thus $ \nu=\dfrac{c}{\lambda} $ .
 $ \nu=\dfrac{m \cdot s^{-1}}{\not n}=s^{-1} $ ,
So now we put in the numbers,
 $ c=3\times {{10}^{8}}\cdot m\cdot {{s}^{-1}} $
 $ \upsilon =\dfrac{3\times {{10}^{8}}\cdot {m}\cdot {{s}^{-1}}}{6\times {{10}^{-12}}\cdot {m}}=5.0\times {{10}^{19}}\cdot {{\text{s}}^{-1}}. $
 $ \Rightarrow \upsilon =5.0\times {{10}^{19}}\cdot {{\text{s}}^{-1}}. $

Note:
Radioactive decay and secondary radiation from air interactions with cosmic ray particles are the main natural sources of gamma rays originating on Earth. Other uncommon natural sources of gamma rays, such as terrestrial gamma-ray bursts, create gamma rays as a result of electron activity on the nucleus. Fission, such as that which happens in nuclear reactors, and high-energy physics experiments, such as neutral pion decay and nuclear fusion, are two notable artificial sources of gamma rays.