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A : The work done by a force during roun...

A : The work done by a force during round trip is always zero.
R : The average value of force in round trip is zero.

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 the 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 falsė statements, then mark (4).

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion (A) and the reason (R) provided in the statement. ### Step 1: Understand the Assertion (A) The assertion states that "The work done by a force during a round trip is always zero." - When a force acts on an object, the work done (W) is calculated using the formula: \[ W = F \cdot s = F \cdot d \cdot \cos(\theta) \] where \(F\) is the force, \(s\) is the displacement, and \(\theta\) is the angle between the force and the displacement vector. - In a round trip, the object returns to its original position. Therefore, the total displacement is zero. - Since displacement is zero, the work done during the round trip can be expressed as: \[ W = F \cdot 0 = 0 \] Thus, the assertion (A) is **true**. ### Step 2: Understand the Reason (R) The reason states that "The average value of force in a round trip is zero." - The average force is defined as the total force applied divided by the total time or the total displacement over the time taken. - In a round trip, while the net displacement is zero, the forces applied during the trip may not necessarily average out to zero. For example, if a constant force is applied in one direction, the average force will still be that constant value, even if the object returns to the starting point. - Therefore, the average value of force can be non-zero, depending on the nature of the forces applied during the trip. Thus, the reason (R) is **false**. ### Conclusion - The assertion (A) is true. - The reason (R) is false. ### Final Answer The correct option is: Assertion is true, Reason is false. ---
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