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When an electron moves in a circular pat...

When an electron moves in a circular path around a stationary nucleus charge at the center

A

the acceleration of the electron changes

B

the velocity of the electon change

C

electric field due to the nucleus at the electron changes

D

none of these

Text Solution

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The correct Answer is:
To solve the problem of an electron moving in a circular path around a stationary nucleus, we need to analyze the behavior of the electron in terms of acceleration, velocity, and electric field. Let's break it down step by step. ### Step 1: Understand the Motion of the Electron When an electron moves in a circular path around a nucleus, it is undergoing uniform circular motion. In such motion, the direction of the velocity vector changes continuously, even if the speed (magnitude of velocity) remains constant. **Hint:** Remember that in circular motion, the direction of velocity is always changing, which affects acceleration. ### Step 2: Analyze the Acceleration In circular motion, the acceleration is directed towards the center of the circle (centripetal acceleration). Although the speed of the electron may remain constant, the direction of this acceleration changes as the electron moves along the circular path. **Hint:** Consider how centripetal acceleration behaves in circular motion. ### Step 3: Analyze the Velocity The velocity of the electron is a vector quantity that has both magnitude and direction. While the speed may remain constant, the direction of the velocity vector changes continuously as the electron orbits the nucleus. **Hint:** Think about how velocity is defined and how it changes with direction. ### Step 4: Analyze the Electric Field The electric field due to the nucleus at the position of the electron is also affected by the position of the electron. As the electron moves in its circular path, its distance from the nucleus changes, which can lead to a change in the electric field experienced by the electron. **Hint:** Recall how electric fields are influenced by the distance from the charge that creates them. ### Step 5: Conclusion Based on the analysis: - The acceleration of the electron changes (Option A). - The velocity of the electron changes (Option B). - The electric field due to the nucleus at the position of the electron changes (Option C). Thus, all options (A, B, and C) are correct. ### Final Answer All options are correct: A, B, and C. ---

To solve the problem of an electron moving in a circular path around a stationary nucleus, we need to analyze the behavior of the electron in terms of acceleration, velocity, and electric field. Let's break it down step by step. ### Step 1: Understand the Motion of the Electron When an electron moves in a circular path around a nucleus, it is undergoing uniform circular motion. In such motion, the direction of the velocity vector changes continuously, even if the speed (magnitude of velocity) remains constant. **Hint:** Remember that in circular motion, the direction of velocity is always changing, which affects acceleration. ### Step 2: Analyze the Acceleration ...
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