The masses of three particles are shown - Scottish Highers Physics - Question 11 - 2022

The mass of the proton is given as:

$$ext{Mass}_{proton} = 1.673 imes 10^{-27} ext{ kg}$$

To find how many orders of magnitude greater the mass of the Higgs boson is compared to the mass of the proton, we will calculate the ratio:

ext{Ratio} = rac{ ext{Mass}_{Higgs}}{ ext{Mass}_{proton}} = rac{2.22 imes 10^{-25}}{1.673 imes 10^{-27}}

Calculating this gives:

$$ext{Ratio} ext{ ≈ } 132.85$$

The orders of magnitude can be determined by taking the base 10 logarithm of the ratio:

$$ext{Orders of Magnitude} = ext{log}_{10}(132.85) ext{ ≈ } 2.12$$

Thus, the mass of the Higgs boson is approximately 2 orders of magnitude greater than the mass of the proton.

Based on the calculated orders of magnitude, the closest answer from the options provided is:

B) 2