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Three identical balls, ball I, ball II and ball III are placed on a smooth floor on a straight line at a separation of 10 m
between them as shown in the figure. Initially, the balls are stationary. Ball I is given a velocity of 10 m s−1 towards ball II. The collision between ball I and II is inelastic with coefficient of restitution 0.5 but collision between ball II
and III is perfectly elastic. What is the time interval between two consecutive collisions between ball I and II ?
  • a)
    5 s
  • b)
    6 s
  • c)
    4 s
  • d)
    8 s
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Three identical balls, ball I, ball IIand ball IIIare placed on a smoo...
Let the velocity of ball I and ball III after collision be v1 and v2.
v− v= 0.5 x 10  ...(i)
mv+ mv= m x 10   ...(ii)
⇒   v+ v1=10
Solving equations (i) and (ii),
v1=2.5 m s−1 
v2=7.5 m s−1

Ball II after moving 10 m collides with ball III elastically and stops. But ball I moves towards ball II. Time taken between two consecutive collisions,
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Three identical balls, ball I, ball IIand ball IIIare placed on a smooth floor on a straight line at a separation of 10 mbetween them as shown in the figure. Initially, the balls are stationary. Ball Iis given a velocity of 10 m s−1towards ball II. The collision between ball Iand IIis inelastic with coefficient of restitution 0.5but collision between ball IIand IIIis perfectly elastic. What is the time interval between two consecutive collisions between ball I and II ?a)5 sb)6 sc)4 sd)8 sCorrect answer is option 'C'. Can you explain this answer?
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Three identical balls, ball I, ball IIand ball IIIare placed on a smooth floor on a straight line at a separation of 10 mbetween them as shown in the figure. Initially, the balls are stationary. Ball Iis given a velocity of 10 m s−1towards ball II. The collision between ball Iand IIis inelastic with coefficient of restitution 0.5but collision between ball IIand IIIis perfectly elastic. What is the time interval between two consecutive collisions between ball I and II ?a)5 sb)6 sc)4 sd)8 sCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Three identical balls, ball I, ball IIand ball IIIare placed on a smooth floor on a straight line at a separation of 10 mbetween them as shown in the figure. Initially, the balls are stationary. Ball Iis given a velocity of 10 m s−1towards ball II. The collision between ball Iand IIis inelastic with coefficient of restitution 0.5but collision between ball IIand IIIis perfectly elastic. What is the time interval between two consecutive collisions between ball I and II ?a)5 sb)6 sc)4 sd)8 sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three identical balls, ball I, ball IIand ball IIIare placed on a smooth floor on a straight line at a separation of 10 mbetween them as shown in the figure. Initially, the balls are stationary. Ball Iis given a velocity of 10 m s−1towards ball II. The collision between ball Iand IIis inelastic with coefficient of restitution 0.5but collision between ball IIand IIIis perfectly elastic. What is the time interval between two consecutive collisions between ball I and II ?a)5 sb)6 sc)4 sd)8 sCorrect answer is option 'C'. Can you explain this answer?.
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