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STATEMENT-1: When a particle is thrown o...

STATEMENT-1: When a particle is thrown obliquely form the surfcae of the Earth, ity always moves in a parabolic path, provided the air resistance is negligible.
STATEMENT-2: A projectile motion is a two dimensional motion.

A

Statement-I is true, Statement-II is true, Statement-II is correct explanation for Statement-I

B

Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for Statement-I

C

Statement-I is true, Statement-II is false

D

Statement-I is false, Statement-II is true.

Text Solution

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The correct Answer is:
D
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Statement I: If a ball projected up obliquely from the ground breaks up into several fragments in its path, the centre of the system of all fragments moves in the same parabolic path compared to initial one till all fragments are in air. Statement II: In the situation of Statement 1, at the instant of breaking, the fragments may be thrown in different directions with different speeds.

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 :-

Path traced by a moving particle in space is called trajectory of the particle. Shape of trajectiry is decided by the forces acting on the particle. When a coordinate system is associated with a particle motion, the curve equation in which the particle moves [y=f(x)] is called equation of trajectory. It is just giving us the relation among x and y coordinates of the particle i.e. the locus of particle. To find equation of trajectory of a particle, find first x and y coordinates of the particle as a function of time eliminate the time factor. In above question initial acceleration (i.e. (d^(2)vec(r))/(dt^(2))) of particle is :-

Path traced by a moving particle in space is called trajectory of the particle. Shape of trajectiry is decided by the forces acting on the particle. When a coordinate system is associated with a particle motion, the curve equation in which the particle moves [y=f(x)] is called equation of trajectory. It is just giving us the relation among x and y coordinates of the particle i.e. the locus of particle. To find equation of trajectory of a particle, find first x and y coordinates of the particle as a function of time eliminate the time factor. The position vector of car w.r.t. its starting point is given as vec(r)=at hat(i)- bt^(2) hat(j) where a and b are positive constants. The locus of a particle is:-

Figure shows the x-t plot of one-dimensional motion of a particle. Is it correct to say from the graph that the particle moves in a straight line for l lat 0 and on a parabolic path for t gt 0 ? If not, suggest a suitable physical context for this graph.

Two particles A and B of de-Broglie wavelength lambda_(1) and lambda_(2) combine to form a particle C.The process conserves momentum .Find the de-Broglie wavelength of the particle C.(The motion is one -dimensional).

Distance is a scalar quantity. Displacement is a vector quqntity. The magnitude of displacement is always less than or equal to distance. For a moving body displacement can be zero but distance cannot be zero. Same concept is applicable regarding velocity and speed. Acceleration is the rate of change of velocity. If acceleration is constant, then equations of kinematics are applicable for one dimensional motion under the gravity in which air resistance is considered, then the value of acceleration depends on the density of medium. Each motion is measured with respect of frame of reference. Relative velocity may be greater // smaller to the individual velocities. A particle is moving along the path y=4x^(2) . The distance and displacement from x=1 to x=2 is (nearly) :-

Read each statement below carefully and state , with reasons , if it is true or false : (a) The net acceleration of a particle in circular motion is always along the radius of the circle towards the centre (b) The velocity vector of a particle at point is always along the tangent to the path of the particle at that point (c ) The acceleration vector of a particle in uniform circular motion averaged over one cycle is a nul vector

Distance is a scalar quantity. Displacement is a vector quqntity. The magnitude of displacement is always less than or equal to distance. For a moving body displacement can be zero but distance cannot be zero. Same concept is applicable regarding velocity and speed. Acceleration is the rate of change of velocity. If acceleration is constant, then equations of kinematics are applicable for one dimensional motion under the gravity in which air resistance is considered, then the value of acceleration depends on the density of medium. Each motion is measured with respect of frame of reference. Relative velocity may be greater // smaller to the individual velocities. A particle moves from A to B. Then the ratio of distance to displacement is :-

Distance is a scalar quantity. Displacement is a vector quqntity. The magnitude of displacement is always less than or equal to distance. For a moving body displacement can be zero but distance cannot be zero. Same concept is applicable regarding velocity and speed. Acceleration is the rate of change of velocity. If acceleration is constant, then equations of kinematics are applicable for one dimensional motion under the gravity in which air resistance is considered, then the value of acceleration depends on the density of medium. Each motion is measured with respect of frame of reference. Relative velocity may be greater // smaller to the individual velocities. A person is going 30 m north, 20m east and then 30sqrt(2) m southwest. The net displacement will be

ALLEN -KINEMATICS-Assertion-Reason
  1. Assertion: A projectile is thrown with an initial velocity of (a hati+...

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  2. Statement-I : Path of a projectile is a parabola irrespective of its v...

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  3. Statement-I : When velocity of a particle is zero then acceleration of...

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  4. Statement-I : A particle moves in a straight line with constant accele...

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  5. Statement-I : If two particles, moving with constant velocities are to...

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  6. STATEMENT-1: Two balls are dropped one after the other form a tall tow...

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  7. STATEMENT-1: A man can cross river of width d in minimum time t. On in...

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  8. STATEMENT-1: When a body is dropped and another body is thrown horizon...

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  9. STATEMENT-1: The maixmum range along the inclined plane, when thrown d...

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  10. Assertion: Two particles of different mass, projected with same veloci...

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  11. Assertion: The speed of a body can be negative. Reason: If the body ...

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  12. Assertion: A positive acceleration can be associated with a slowing do...

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  13. Assertion: In a free fall, the initially velocity of a boyd may or may...

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  14. Assertion: Graph(s) represent one dimensional motion of a particle. Wh...

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  15. Assertion: When the body is dropped or thrown horizontally form the sa...

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  16. Statement-I : When the direction of motion of a particle moving in a c...

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  17. Statement-I : A cyclist must adopt a zig-zag path while ascending a st...

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  18. Assertion : Mountain roads rarely go straight up the slope. Reason ...

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  19. STATEMENT-1: When a particle is thrown obliquely form the surfcae of t...

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  20. STATEMENT -1 : For an observer looking out through the window of a fa...

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