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A small particle of mass m moving inside a heavy,hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted with a heavy movable flat piston as shown in figure. When the distance of the piston from closed end is L = L0 the particle speed is v = v0. The piston is moved inward at a very low speed V such that , where dL is the infinitesimal displacement of the piston. which of the following statement(s) is/are correct?
  • a)
    The particle’s kinetic energy increases by a factor of 4 when the piston is moved inward from L0 to 1/2L0
  • b)
    After each collision with the piston, the particle speed increases by 2V.
  • c)
    If the piston moves inward by dL, the particle speed increases by 
  • d)
    The rate at which the particle strikes the piston is v/L
Correct answer is option 'A,B'. Can you explain this answer?
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A small particle of mass m moving inside a heavy,hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted with a heavy movable flat piston as shown in figure. When the distance of the piston from closed end is L = L0 the particle speed is v = v0. The piston is moved inward at a very low speed V such that,where dL is the infinitesimal displacement of the piston. which of the following statement(s) is/are correct?a)The particle’s kinetic energy increases by a factor of 4 when the piston is moved inward from L0 to 1/2L0b)After each collision with the piston, the particle speed increases by 2V.c)If the piston moves inward by dL, the particle speed increases byd)The rate at which the particle strikes the piston is v/LCorrect answer is option 'A,B'. Can you explain this answer?
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A small particle of mass m moving inside a heavy,hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted with a heavy movable flat piston as shown in figure. When the distance of the piston from closed end is L = L0 the particle speed is v = v0. The piston is moved inward at a very low speed V such that,where dL is the infinitesimal displacement of the piston. which of the following statement(s) is/are correct?a)The particle’s kinetic energy increases by a factor of 4 when the piston is moved inward from L0 to 1/2L0b)After each collision with the piston, the particle speed increases by 2V.c)If the piston moves inward by dL, the particle speed increases byd)The rate at which the particle strikes the piston is v/LCorrect answer is option 'A,B'. 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 A small particle of mass m moving inside a heavy,hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted with a heavy movable flat piston as shown in figure. When the distance of the piston from closed end is L = L0 the particle speed is v = v0. The piston is moved inward at a very low speed V such that,where dL is the infinitesimal displacement of the piston. which of the following statement(s) is/are correct?a)The particle’s kinetic energy increases by a factor of 4 when the piston is moved inward from L0 to 1/2L0b)After each collision with the piston, the particle speed increases by 2V.c)If the piston moves inward by dL, the particle speed increases byd)The rate at which the particle strikes the piston is v/LCorrect answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A small particle of mass m moving inside a heavy,hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted with a heavy movable flat piston as shown in figure. When the distance of the piston from closed end is L = L0 the particle speed is v = v0. The piston is moved inward at a very low speed V such that,where dL is the infinitesimal displacement of the piston. which of the following statement(s) is/are correct?a)The particle’s kinetic energy increases by a factor of 4 when the piston is moved inward from L0 to 1/2L0b)After each collision with the piston, the particle speed increases by 2V.c)If the piston moves inward by dL, the particle speed increases byd)The rate at which the particle strikes the piston is v/LCorrect answer is option 'A,B'. Can you explain this answer?.
Solutions for A small particle of mass m moving inside a heavy,hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted with a heavy movable flat piston as shown in figure. When the distance of the piston from closed end is L = L0 the particle speed is v = v0. The piston is moved inward at a very low speed V such that,where dL is the infinitesimal displacement of the piston. which of the following statement(s) is/are correct?a)The particle’s kinetic energy increases by a factor of 4 when the piston is moved inward from L0 to 1/2L0b)After each collision with the piston, the particle speed increases by 2V.c)If the piston moves inward by dL, the particle speed increases byd)The rate at which the particle strikes the piston is v/LCorrect answer is option 'A,B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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