By what factor does the peak frequency change if the celsius temperature of an object is doubled from 20.0 ∘c to 40.0 ∘c?

it increases by a factor 1.07

Explanation:

The peak wavelength of an object is given by Wien's displacement law:

(1)

where

b is the Wien's displacement constant

T is the temperature (in Kelvins) of the object

given the relationship between frequency and wavelength of an electromagnetic wave:

where c is the speed of light, we can rewrite (1) as

So the peak frequency is directly proportional to the temperature in Kelvin.

In this problem, the temperature of the object changes from

to

so the peak frequency changes by a factor

0.11 m/s and 0.28 m/s should be correct