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Pseudo vector is...

Pseudo vector is

A

linear momentum

B

Angular momentum

C

Force

D

All the above

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options is a pseudo vector, we need to analyze each option based on the definition of pseudo vectors. ### Step-by-Step Solution: 1. **Understanding Pseudo Vectors**: - Pseudo vectors are vectors that remain unchanged under certain transformations, specifically: - They do not change when the coordinate system is rotated. - They do not change when a mirror image is taken. 2. **Analyzing Linear Momentum**: - Linear momentum (denoted as **p**) is defined as the product of mass and velocity: **p = m * v**. - If we rotate the reference frame, the components of the velocity vector **v** will change. Thus, linear momentum will also change. - **Conclusion**: Linear momentum is **not** a pseudo vector. 3. **Analyzing Angular Momentum**: - Angular momentum (denoted as **L**) is given by the formula: **L = r × p** (where **r** is the position vector and **p** is the linear momentum). - The direction of the angular momentum vector is determined by the right-hand rule and is perpendicular to the plane formed by **r** and **v**. - When the reference frame is rotated, the angular momentum vector remains unchanged in direction and magnitude. - Additionally, if we take a mirror image of the angular momentum vector, it still points in the same direction (inside the screen). - **Conclusion**: Angular momentum is a pseudo vector. 4. **Analyzing Force**: - Force (denoted as **F**) is defined by Newton's second law: **F = m * a** (where **a** is acceleration). - Similar to linear momentum, if the reference frame is rotated, the components of the force vector will change. - Therefore, force does not satisfy the conditions of a pseudo vector. - **Conclusion**: Force is **not** a pseudo vector. 5. **Final Evaluation**: - The only option that qualifies as a pseudo vector is angular momentum. - Therefore, the correct answer is **angular momentum**. ### Final Answer: **Angular Momentum** is a pseudo vector.
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