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Which of the following properties of a p...

Which of the following properties of a proton can change while it moves freely in a magnetic field? (There may be more than one correct answer).
(a) mass
(b) speed
(c) velocity
(d) momentum

A

mass

B

speed

C

velocity

D

momentum

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question about which properties of a proton can change while it moves freely in a magnetic field, we can analyze each option provided: 1. **Understanding the Motion of a Proton in a Magnetic Field**: - When a charged particle, such as a proton, moves through a magnetic field, it experiences a magnetic force that is perpendicular to both the direction of the magnetic field and the velocity of the particle. This force causes the particle to change its direction of motion. 2. **Analyzing Each Property**: - **(a) Mass**: The mass of a proton is a fundamental property and does not change regardless of its motion or the presence of a magnetic field. - **Conclusion**: Mass does not change. - **(b) Speed**: The speed of the proton is the magnitude of its velocity. Since the magnetic force acts perpendicular to the direction of motion, it does not do work on the proton. Therefore, the speed remains constant. - **Conclusion**: Speed does not change. - **(c) Velocity**: Velocity is a vector quantity that includes both speed and direction. Since the magnetic force changes the direction of the proton's motion, the velocity of the proton will change even though its speed remains constant. - **Conclusion**: Velocity changes. - **(d) Momentum**: Momentum is defined as the product of mass and velocity (p = mv). Since the mass of the proton remains constant and its velocity is changing (due to the change in direction), the momentum of the proton will also change. - **Conclusion**: Momentum changes. 3. **Final Answer**: - The properties of the proton that can change while it moves freely in a magnetic field are: - **(c) Velocity** - **(d) Momentum** ### Summary of the Solution: - The correct options are **(c) Velocity** and **(d) Momentum**.
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