A Proton in a Cyclotron Has a Velocity of 2

question 23

Multiple Choice

A proton in a cyclotron has a velocity of 2 * 10⁸ m/s, which is nearly the speed of light. The uncertainty in the velocity is 1%. What is the minimum uncertainty in the position of the proton in meters? The proton mass is 2 *10^-27 kg.

• A) 3 *10^-11 m
• B) 1 * 10^-22 m
• C) 1 *10^-18 m
• D) 3 *10^-41 m
• E) 1 *10^-17 m

---

Definitions:

Dual Representation Hypothesis

Proposal that children under age 3 have difficulty grasping spatial relationships because of the need to keep more than one mental representation in mind at the same time.

Scale Errors

A developmental phenomenon in which young children attempt to perform actions on miniature objects as if they were full-size, indicating a misunderstanding of size and scale.

Piaget's Theory

A theory of cognitive development that describes how children construct a mental model of the world.

Habituation

A psychological learning process wherein there is a decrease in response to a stimulus after being repeatedly exposed to it.