Question

1. which of the following would be an equation scientists could use to detect the presence of dark matter in a collision at the large hadron collider? a. dark matter + total energy and momentum of a collision = 100 b. total energy + total momentum = dark matter c. total energy and momentum of a collision - energy and momentum contained in the particles that collided = dark matter d. dark matter - energy missing from a collision = energy contained in the particles that collided

Explanation:

Step1: Understand dark - matter detection principle

Dark matter is detected by looking at the "missing" energy and momentum in a collision. The total energy and momentum of a collision should be conserved. If there is a difference between the total expected energy and momentum and the energy and momentum accounted for by the visible particles in the collision, that difference is attributed to dark matter.

Step2: Analyze each option

• Option a: There is no such simple sum - to - 100 relationship for detecting dark matter.
• Option b: Total energy and momentum are not equal to dark matter. Dark matter is the "missing" part.
• Option c: This is correct. By subtracting the energy and momentum of the colliding particles from the total energy and momentum of the collision, we can find the energy and momentum associated with dark matter.
• Option d: The relationship is incorrect. It should be that the energy missing from a collision is related to dark - matter energy, not the other way around as stated.

Answer:

c. Total energy and momentum of a collision – energy and momentum contained in the particles that collided = dark matter