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कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान इयत्ता ११

Which of the Following Potential Energy Curves in Fig. Cannot Possibly Describe the Elastic Collision of Two Billiard Balls? Here R is Distance Between Centres of the Balls.

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प्रश्न

Which of the following potential energy curves in Fig. cannot possibly describe the elastic collision of two billiard balls? Here r is distance between centres of the balls.

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उत्तर १

The potential energy of a system of two masses varies inversely as the distance (r) between 1 them i.e., V (r) α 1/r. When the two billiard balls touch each other, P.E. becomes zero i.e., at r = R + R = 2 R; V (r) = 0. Out of the given graphs, curve (v) only satisfies these two conditions. Therefore, all other curves cannot possibly describe the elastic collision of two billiard balls.

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उत्तर २

The potential energy of a system of two masses is inversely proportional to the separation between them. In the given case, the potential energy of the system of the two balls will decrease as they come closer to each other. It will become zero (i.e., V(r) = 0) when the two balls touch each other, i.e., at r= 2R, where R is the radius of each billiard ball. The potential energy curves given in figures (i), (ii), (iii), (iv), and (vi) do not satisfy these two conditions. Hence, they do not describe the elastic collisions between them. 

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संबंधित प्रश्‍न

State if the following statement is true or false. Give a reason for your answer.

In an elastic collision of two bodies, the momentum and energy of each body is conserved.


State if the following statement is true or false. Give a reason for your answer. 

Total energy of a system is always conserved, no matter what internal and external forces on the body are present.


Answer carefully, with reason:

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Solve the following problem.

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  1. While spring is fully compressed all the KE of M1 is stored as PE of spring.
  2. While spring is fully compressed the system momentum is not conserved, though final momentum is equal to initial momentum.
  3. If spring is massless, the final state of the M1 is state of rest.
  4. If the surface on which blocks are moving has friction, then collision cannot be elastic.

In an elastic collision of two billiard balls, which of the following quantities remain conserved during the short time of collision of the balls (i.e., when they are in contact).

  1. Kinetic energy.
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Give reason for your answer in each case.


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A ball of mass m, moving with a speed 2v0, collides inelastically (e > 0) with an identical ball at rest. Show that for a general collision, the angle between the two velocities of scattered balls is less than 90°.


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The dimension of mutual inductance is ______.


What do the objects do "after collision"?


What is a collision?


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