Assertion (A): Two identical trains move in opposite senses in equatorial plane with same speeds relative to…

Assertion (A): Two identical trains move in opposite senses in equatorial plane with same speeds relative to the earth's surface. They have equal magnitude of normal reaction.
Reason (R): The trains have different centripetal accelerations due to different speeds.

  1. Both A and R are true and R is a correct explanation for A

  2. Both A and R are true but R is not a correct explanation for A

  3. A is true, R is false

  4. A is false, R. is false

Solution

The train which is moving along the direction of rotation of earth that is west to east, will require less centripetal force compared to train moving in opposite direction.

Since the centripetal force is more on the train which move along the direction of rotation of earth therefore the normal reaction acting on the train will be more.

The centripetal force is the function of relative angular velocity of earth and train, therefore the train will have different acceleration because of relative angular velocity between train and earth not due to different speed.

Asked in: AP EAMCET 2021 (19 Aug Shift 1)

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