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NEETPhysicsMotion in One Dimension

Assertion : Particle A is moving eastwards and particle B northwards with same speed. Then, velocity of A with respect to (B ) is in south-east direction. Reason : Relative velocity between them is zero as their speeds are same.

Options

  1. AIf both Assertion and Reason are correct and Reason is the correct explanation of Assertion
  2. BIf both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
  3. CIf Assertion is true but Reason is false
  4. DIf Assertion is false but Reason is true

Correct answer

C. If Assertion is true but Reason is false

Step-by-step solution

Assertion is true: Let velocity of (A ) be ( v _A=v i ) (eastwards) and velocity of (B ) be ( v _B=v j ) (northwards), where (v ) is the speed. The velocity of (A ) with respect to (B ) is ( v _A B= v _A- v _B=v i ) -vj . This vector has a positive x -component and a negative y -component, which corresponds to the south-east direction. Reason is false: Relative velocity is zero only if both the magnitude and direction of the velocities are the same. Here, only the magnitudes (speeds) are the same, but their directi

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