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Assertion: An independnt negative charge...

Assertion: An independnt negative charge moves itself from point A to point B. then, potential at A should be less than potential at B.
Reason: While moving from A to B kinetic energy of electron will increase

A

If both Assertion and Reason are true but Reason is the correct explanation of Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

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The correct Answer is:
To solve the question, we will analyze both the assertion and the reason step by step. ### Step 1: Understanding the Assertion The assertion states that an independent negative charge moves from point A to point B, and thus the potential at A should be less than the potential at B. **Explanation**: - A negative charge (like an electron) moves from a region of lower electric potential to a region of higher electric potential. This is because negative charges are attracted to higher potentials (which are associated with positive charges). - Therefore, if a negative charge is moving from A to B, it implies that the electric potential at point A (V_A) is less than the electric potential at point B (V_B). ### Step 2: Understanding the Reason The reason given states that while moving from A to B, the kinetic energy of the electron will increase. **Explanation**: - As the negative charge moves from a lower potential to a higher potential, its potential energy decreases. Since the total mechanical energy is conserved (assuming no non-conservative forces are acting), the decrease in potential energy results in an increase in kinetic energy. - Mathematically, this can be expressed as: \[ \Delta KE = -\Delta PE \] where \(\Delta KE\) is the change in kinetic energy and \(\Delta PE\) is the change in potential energy. ### Step 3: Conclusion on Assertion and Reason Both the assertion and the reason are true: - The assertion is correct because a negative charge moves from a lower potential to a higher potential. - The reason is also true since the kinetic energy of the charge increases as it moves from A to B due to the conservation of mechanical energy. However, the reason provided does not serve as a correct explanation for the assertion. The assertion is based on the nature of electric potential and charge movement, while the reason discusses the change in kinetic energy without directly explaining why the charge moves from lower to higher potential. ### Final Answer Both assertion and reason are true, but the reason is not a correct explanation for the assertion.

To solve the question, we will analyze both the assertion and the reason step by step. ### Step 1: Understanding the Assertion The assertion states that an independent negative charge moves from point A to point B, and thus the potential at A should be less than the potential at B. **Explanation**: - A negative charge (like an electron) moves from a region of lower electric potential to a region of higher electric potential. This is because negative charges are attracted to higher potentials (which are associated with positive charges). - Therefore, if a negative charge is moving from A to B, it implies that the electric potential at point A (V_A) is less than the electric potential at point B (V_B). ...
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