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Question

Assertion: A reference frame attached to earth is an inertial frame of reference.

Reason: The reference frame which has zero acceleration is called a non-inertial frame of reference.


A

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

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B

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

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C

If Assertion is true but Reason is false.

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D

If the Assertion and Reason both are false.

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E

If Assertion is false but Reason is true.

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Solution

The correct option is D

If the Assertion and Reason both are false.


The explanation for the Assertion statement:

  1. An inertial reference frame is either at rest or moves with a constant velocity which means it has zero acceleration. Newton’s law will hold true in these frames.
  2. Earth has two types of movement, one is, that it rotates on its own axis. Another is earth revolves around sun in its orbit, while revolving it has centripetal force.
  3. The net force will never be zero, which implies it is accelerated.
  4. Any reference frame attached to earth will also accelerate as there will always be some net force on it.
  5. Any frame which has acceleration is the non-inertial frame.
  6. So, A reference frame attached to earth is a non-inertial frame of reference.

The explanation for Reason statement:

  1. The non-inertial frame is a frame that is accelerated with respect to the assumed inertial frame of reference. Newton’s law will not hold true in these frames.
  2. The reference frame which has zero acceleration is called an inertial frame of reference.
  3. Thus, a reference frame attached to earth is a non-inertial frame of reference.
  4. Therefore, the assertion, as well as the reason, is false.

Hence, option D is correct.


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