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 × 10
21
Hz.
The speed of light is 3 × 10
8 m/s.
What is the wavelength of these gamma
rays?
4.2 x 10^13 is wrong
wavelength = (speed of light)/(frequency)
= 3*10^8/3.0*10^21 = 10^-13 m
To find the wavelength of the gamma rays, we can use the formula:
wavelength = speed of light / frequency
Given:
Speed of light (c) = 3 × 10^8 m/s
Frequency (f) = 3.0 × 10^21 Hz
Substituting these values into the formula, we have:
wavelength = (3 × 10^8 m/s) / (3.0 × 10^21 Hz)
To simplify the calculation, we can express the speed of light in scientific notation:
wavelength = (3.0 × 10^8 m/s) / (3.0 × 10^21 Hz)
Now, let's simplify the equation by dividing the numbers with the same base (10):
wavelength = (3.0 / 3.0) × (10^8 / 10^21) m
The numerator, (3.0 / 3.0), is equal to 1, and the denominator, (10^8 / 10^21), can be written as 10^(8-21), which is 10^(-13):
wavelength = 1 × 10^(-13) m
Converting the wavelength to a decimal form, we get:
wavelength = 0.0000000000001 m
So, the wavelength of these gamma rays is approximately 0.0000000000001 meters.