NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Motion in Two Dimensions
NEET · Physics · Motion in Two Dimensions
Given below are two statements: one is labelled as Assertion (A)...
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): When a coin is placed on a rotating record player, it is more likely to slip off if it is placed closer to the edge than near the center.
Reason (R): The required centripetal force for a particle moving in a circle of constant radius is directly proportional to the square of its angular velocity.
In the light of the above statements, choose the most appropriate answer from the options given below:
Assertion (A): When a coin is placed on a rotating record player, it is more likely to slip off if it is placed closer to the edge than near the center.
Reason (R): The required centripetal force for a particle moving in a circle of constant radius is directly proportional to the square of its angular velocity.
In the light of the above statements, choose the most appropriate answer from the options given below:
Options
- ABoth Assertion and Reason are true and Reason is the correct explanation of Assertion
- BBoth Assertion and Reason are true but Reason is not the correct explanation of Assertion
- CAssertion is true but Reason is false
- DAssertion is false but Reason is true
Correct answer
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
Step-by-step solution
For a coin placed on a rotating record player, the angular velocity is the same for all points.
The required centripetal force to prevent slipping is . As the distance from the center increases (closer to the edge), the required centripetal force increases. Since the maximum static friction is constant, the coin is more likely to slip at a larger radius. Thus, the Assertion is true.
The Reason states that for a constant radius, . This is a true statement based on . However, it does not explain the Assertion, which is based on the variation of with radius at a constant .
Therefore, both Assertion and Reason are true, but the Reason is not the correct explanation of the Assertion.
Answer: Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
The required centripetal force to prevent slipping is . As the distance from the center increases (closer to the edge), the required centripetal force increases. Since the maximum static friction is constant, the coin is more likely to slip at a larger radius. Thus, the Assertion is true.
The Reason states that for a constant radius, . This is a true statement based on . However, it does not explain the Assertion, which is based on the variation of with radius at a constant .
Therefore, both Assertion and Reason are true, but the Reason is not the correct explanation of the Assertion.
Answer: Both Assertion and Reason are true but Reason is not the correct explanation of Assertion