Question Description
Paragraph for Questions 16to 18When a particle of mass m moves on the x-axis in a potentialof the form V(x) = kx2 it performs simple harmonic motion.The corresponding time period is proportional to , as canbe seen easily using dimensional analysis. However, themotion of a particle can be periodic even when its potentialenergy increases on both sides of x = 0 in a way differentfrom kx2 and its total energy is such that the particle does notescape to infinity. Consider a particle of mass m moving onthe x-axis. Its potential energy is V(x) = αx4 (α > 0) for |x|near the origin and becomes a constant equal to V0 for|x| ≥ X0 (see figure).Q.If the total energy of the particle is E, it will perform periodic motion only ifa)E < 0b)E > 0c)V0 > E > 0d)E > V0Correct 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 Paragraph for Questions 16to 18When a particle of mass m moves on the x-axis in a potentialof the form V(x) = kx2 it performs simple harmonic motion.The corresponding time period is proportional to , as canbe seen easily using dimensional analysis. However, themotion of a particle can be periodic even when its potentialenergy increases on both sides of x = 0 in a way differentfrom kx2 and its total energy is such that the particle does notescape to infinity. Consider a particle of mass m moving onthe x-axis. Its potential energy is V(x) = αx4 (α > 0) for |x|near the origin and becomes a constant equal to V0 for|x| ≥ X0 (see figure).Q.If the total energy of the particle is E, it will perform periodic motion only ifa)E < 0b)E > 0c)V0 > E > 0d)E > V0Correct 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 Paragraph for Questions 16to 18When a particle of mass m moves on the x-axis in a potentialof the form V(x) = kx2 it performs simple harmonic motion.The corresponding time period is proportional to , as canbe seen easily using dimensional analysis. However, themotion of a particle can be periodic even when its potentialenergy increases on both sides of x = 0 in a way differentfrom kx2 and its total energy is such that the particle does notescape to infinity. Consider a particle of mass m moving onthe x-axis. Its potential energy is V(x) = αx4 (α > 0) for |x|near the origin and becomes a constant equal to V0 for|x| ≥ X0 (see figure).Q.If the total energy of the particle is E, it will perform periodic motion only ifa)E < 0b)E > 0c)V0 > E > 0d)E > V0Correct answer is option 'C'. Can you explain this answer?.

Solutions for Paragraph for Questions 16to 18When a particle of mass m moves on the x-axis in a potentialof the form V(x) = kx2 it performs simple harmonic motion.The corresponding time period is proportional to , as canbe seen easily using dimensional analysis. However, themotion of a particle can be periodic even when its potentialenergy increases on both sides of x = 0 in a way differentfrom kx2 and its total energy is such that the particle does notescape to infinity. Consider a particle of mass m moving onthe x-axis. Its potential energy is V(x) = αx4 (α > 0) for |x|near the origin and becomes a constant equal to V0 for|x| ≥ X0 (see figure).Q.If the total energy of the particle is E, it will perform periodic motion only ifa)E < 0b)E > 0c)V0 > E > 0d)E > V0Correct answer is option 'C'. 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.

Here you can find the meaning of Paragraph for Questions 16to 18When a particle of mass m moves on the x-axis in a potentialof the form V(x) = kx2 it performs simple harmonic motion.The corresponding time period is proportional to , as canbe seen easily using dimensional analysis. However, themotion of a particle can be periodic even when its potentialenergy increases on both sides of x = 0 in a way differentfrom kx2 and its total energy is such that the particle does notescape to infinity. Consider a particle of mass m moving onthe x-axis. Its potential energy is V(x) = αx4 (α > 0) for |x|near the origin and becomes a constant equal to V0 for|x| ≥ X0 (see figure).Q.If the total energy of the particle is E, it will perform periodic motion only ifa)E < 0b)E > 0c)V0 > E > 0d)E > V0Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Paragraph for Questions 16to 18When a particle of mass m moves on the x-axis in a potentialof the form V(x) = kx2 it performs simple harmonic motion.The corresponding time period is proportional to , as canbe seen easily using dimensional analysis. However, themotion of a particle can be periodic even when its potentialenergy increases on both sides of x = 0 in a way differentfrom kx2 and its total energy is such that the particle does notescape to infinity. Consider a particle of mass m moving onthe x-axis. Its potential energy is V(x) = αx4 (α > 0) for |x|near the origin and becomes a constant equal to V0 for|x| ≥ X0 (see figure).Q.If the total energy of the particle is E, it will perform periodic motion only ifa)E < 0b)E > 0c)V0 > E > 0d)E > V0Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Paragraph for Questions 16to 18When a particle of mass m moves on the x-axis in a potentialof the form V(x) = kx2 it performs simple harmonic motion.The corresponding time period is proportional to , as canbe seen easily using dimensional analysis. However, themotion of a particle can be periodic even when its potentialenergy increases on both sides of x = 0 in a way differentfrom kx2 and its total energy is such that the particle does notescape to infinity. Consider a particle of mass m moving onthe x-axis. Its potential energy is V(x) = αx4 (α > 0) for |x|near the origin and becomes a constant equal to V0 for|x| ≥ X0 (see figure).Q.If the total energy of the particle is E, it will perform periodic motion only ifa)E < 0b)E > 0c)V0 > E > 0d)E > V0Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Paragraph for Questions 16to 18When a particle of mass m moves on the x-axis in a potentialof the form V(x) = kx2 it performs simple harmonic motion.The corresponding time period is proportional to , as canbe seen easily using dimensional analysis. However, themotion of a particle can be periodic even when its potentialenergy increases on both sides of x = 0 in a way differentfrom kx2 and its total energy is such that the particle does notescape to infinity. Consider a particle of mass m moving onthe x-axis. Its potential energy is V(x) = αx4 (α > 0) for |x|near the origin and becomes a constant equal to V0 for|x| ≥ X0 (see figure).Q.If the total energy of the particle is E, it will perform periodic motion only ifa)E < 0b)E > 0c)V0 > E > 0d)E > V0Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Paragraph for Questions 16to 18When a particle of mass m moves on the x-axis in a potentialof the form V(x) = kx2 it performs simple harmonic motion.The corresponding time period is proportional to , as canbe seen easily using dimensional analysis. However, themotion of a particle can be periodic even when its potentialenergy increases on both sides of x = 0 in a way differentfrom kx2 and its total energy is such that the particle does notescape to infinity. Consider a particle of mass m moving onthe x-axis. Its potential energy is V(x) = αx4 (α > 0) for |x|near the origin and becomes a constant equal to V0 for|x| ≥ X0 (see figure).Q.If the total energy of the particle is E, it will perform periodic motion only ifa)E < 0b)E > 0c)V0 > E > 0d)E > V0Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.