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In the following question a statement of...

In the following question a statement of assertion (A) is followed by a statement of reason (R )
A : work done by the field of a nucleus in a complete orbit of the electron is zero even if the orbit is elliptical .
R : Electrostatic force is conservative in nature.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion , then mark (1).

B

If both Assertion & Reason are true but the reason is not correct explanation of the assertion then mark (2)

C

If Assertion is true statement but Reason is false, then mark (3)

D

If both Assertion and Reason are false statements , then mark (4).

Text Solution

AI Generated Solution

The correct Answer is:
To solve the assertion and reason question, we need to analyze both statements carefully. ### Step 1: Understand the Assertion The assertion states that "the work done by the field of a nucleus in a complete orbit of the electron is zero even if the orbit is elliptical." - In electrostatics, when a charged particle (like an electron) moves in the electric field created by another charged particle (like a nucleus), the work done can be calculated using the formula: \[ W = \int \vec{F} \cdot d\vec{s} \] - For a complete orbit, if the path is closed (which it is, whether circular or elliptical), the net displacement of the electron is zero. ### Step 2: Understand the Reason The reason states that "Electrostatic force is conservative in nature." - A conservative force is one where the work done in moving a particle between two points is independent of the path taken. - For conservative forces, the work done over a complete cycle is zero. This is a fundamental property of conservative forces, including electrostatic forces. ### Step 3: Conclusion Since the electrostatic force is conservative, the work done by the field of the nucleus on the electron over a complete orbit (whether circular or elliptical) is indeed zero. Thus, both the assertion and the reason are true, and the reason correctly explains the assertion. ### Final Answer Both the assertion (A) and the reason (R) are true, and R is the correct explanation of A.
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