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Assertion : Displacement of a body may ...

Assertion : Displacement of a body may be zero, when distance travelled by it is not zero.
Reason : The displacement is the longer distance between initial and final position

A

If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.

B

If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.

C

If Assertion is Trie but the Reason is False.

D

If both Assertion `&` Reason are false

Text Solution

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The correct Answer is:
A
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Assertion: Displacement of a body may be zero when distance travelled by it is not zero. Reason: The displacement is the longest distance between initial and final position.

If the displacement of a particle is zero, then distance covered by it

If the displacement of a particle is zero, then distance covered by it

If distance coverd by a particle is zero , what can be its displacement ?

If the displacement of a body is zero is the distance covered by it necessarily zero ? Explain with suitable illustration.

If the displacement of a body is zero is the distance covered by it necessarily zero ? Explain with suitable illustration.

When a particle is undergoing motion, the diplacement of the particle has a magnitude that is equal to or smaller than the total distance travelled by the particle. In many cases the displacement of the particle may actually be zero, while the distance travelled by it is non-zero. Both these quantities, however depend on the frame of reference in which motion of the particle is being observed. Consider a particle which is projected in the earth's gravitational field, close to its surface, with a speed of 100sqrt(2) m//s , at an angle of 45^(@) with the horizontal in the eastward direction. Ignore air resistance and assume that the acceleration due to gravity is 10 m//s^(2) . There exists a frame (D) in which the distance travelled by the particle is minimum. This minimum distance is equal to :-

Statement I: The displacement of a body may be zero, though its distance can be finite. Statement II: If the bodt moves such that finally it arrives at the initial point, then displacement is zero while distance is finite.

Which of the following statements is incorrect? a) Displacement is independent of the choice of origin of the axis. b) Displacement may or may not be equal to the distance travelled. c) When a particle returns to its starting point, its displacement is not zero. d) Displacement does not tell the nature of the actual motion of a particle between the points.

If the distance covered is zero, the displacement:-

ALLEN-MOTION IN A PALNE-EXERCISE-3
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  14. Assertion: In successive time intervals if the average velocities of a...

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  17. Assertion: The distance and displacment both are equal when the partic...

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  18. Statement I: Graph (1) represent one dimensional motion of a particle....

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  19. Assertion: In general |Displacement| le distance. Reason: The instan...

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  20. Assertion : In a free fall, the initial velocity of a body may or may ...

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