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Assertion: Displacement of a body may be...

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.

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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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 :-

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) . The motion of the particle is observed in two different frames: one in the ground frame (A) and another frame (B), in which the horizontal component of the displacement is always zero. Two observers locates in these frames ill agree on :-

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) . " A third observer (C) close to the surface of the reports that particle is initially travelling at a speed of 100sqrt(2) m//s making on angle of 45^(@) with the horizontal, but its horizontal motion is northward". The third observer is moving in :-

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) . Consider an observer in frame D (of the previous question), who observes a body of mass 10 kg acelerating in the upward direction at 30 m//s^(2) (w.r.t. himself). The net force acting on this body, as observed from the ground is :-

If the distance covered is zero, the displacement:-

ALLEN -MOTION IN A PALNE-EXERCISE-3
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  2. Assertion: Displacement of a body may be zero when distance travelled ...

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  3. Assertion: The magnitude of average velocity of the object over an int...

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  4. Assertion: An object can have constant speed but variable velocity. ...

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  5. Statement-I : The speed of a body can be negative. Statement-II : If...

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  6. Statement-I : A positive acceleration can be associated with a 'slowin...

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  7. Assertion: A negative acceleration of a body can be associated with a ...

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  8. When a body is subjected to a uniform acceleration, it always moves in...

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  9. The ratios of the distances traversed, in successive intervals of time...

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  11. Assertion: The average velocity of a particle is zero in a time interv...

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  12. Assertion : An object may have varying speed without having varying ve...

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  13. Assertion: Average speed of a particle in a given time interval is nev...

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  14. Assertion: In successive time intervals if the average velocities of a...

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  15. Statement-I : In a free fall, the initial velocity of a body may or ma...

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  16. Assertion: If a body is dropped from the top of a twoer of height h an...

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  17. Assertion: An observer is moving due east and wind appears him to blow...

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

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

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

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