Question

at some other time in our universe the cosmic microwave background was or will be observed to be at a redshift of 100. what will the temperature of the microwave background be at the time? a. 1 k b. 30 k c. 100 k d. 100,000 k e. 300,000 k

Answer 1

The temperature of the cosmic microwave background at a redshift of 100 is approximately 275.525 K.

Step-by-step explanation:

The temperature of the cosmic microwave background (CMB) at a redshift of 100 can be calculated using the relation between redshift and temperature. The CMB is known to have a temperature of 2.725 K as measured from the fireball remnant of the universe. The relationship between redshift and temperature is given by:

Temperature at redshift z = (1 + z) * Temperature at present

Substituting the values, we get:

Temperature at redshift 100 = (1 + 100) * 2.725 K = 101 * 2.725 K = 275.525 K

Therefore, at a redshift of 100, the temperature of the microwave background will be approximately 275.525 K.