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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:

Options

  1. ABoth Assertion and Reason are true and Reason is the correct explanation of Assertion
  2. BBoth Assertion and Reason are true but Reason is not the correct explanation of Assertion
  3. CAssertion is true but Reason is false
  4. 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 ω\omega is the same for all points.

The required centripetal force to prevent slipping is Fc=mrω2F_c = m r \omega^2. As the distance rr from the center increases (closer to the edge), the required centripetal force increases. Since the maximum static friction fs=μmgf_s = \mu m g 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, Fc∝ω2F_c \propto \omega^2. This is a true statement based on Fc=mrω2F_c = m r \omega^2. However, it does not explain the Assertion, which is based on the variation of FcF_c with radius rr at a constant ω\omega.

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
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