Question

Gamma-ray bursters are objects in the universe that emit pulses of gamma rays with high energies. The frequency of the most energetic bursts has been measured at around 3.0 × 1021 Hz. The speed of light is 3 × 108 m/s. What is the wavelength of these gamma rays? Answer in units of m

Answer 1

Wavelength and frequency are related and they are indirectly related The higher the frequency of a light, the shorter the wavelength would be. The constant of proportionality of this relation is the speed of light. We calculate as follows:
wavelength = speed of light / frequency
wavelength = 3x10^8 / 3.0x10^21
wavelength = 1x10^-13 m

Answer 2

The distance between two successive troughs or crests is known as the wavelength. The wavelength of these gamma rays will be $1\times (10)^-13$ m.

How do you define wavelength?

The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.

The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.

The length of a wave is measured in its propagation direction. The wavelength is measured in meters, centimeters, nanometres, and other units since it is a distance measurement.

The relationship between the wave's wavelength, frequency, and speed is given as

wavelength = speed of light / frequency

$\rm{\lambda = \frac{c}{v}$

$\rm{\lambda$ is the wave's wavelength.

v denotes the wave's speed.

f is the wave's frequency.

$\rm{\lambda = \frac{3\times10^8}{3.0\times10^{21}}$

$\rm{\lambda =1\times 10^{-13}$m

Hence the wavelength of these gamma rays will be $1\times (10)^-13$ m.

To learn more about the wavelength refer to the link;

https://brainly.com/question/7143261