JEE Exam  >  JEE Questions  >  A particle of mass m is executing oscillation... Start Learning for Free
A particle of mass m is executing oscillations about the origin on the x axis. Its potential energy is V(x) = k | x |3 where k is a positive constant. If the amplitude of oscillation is a, then its time period  T is
  • a)
    proportional to 1/ √a
  • b)
    independent of a
  • c)
    proportional to √a
  • d)
    proportional to a3/2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A particle of mass m is executing oscillations about the origin on the...
U (x) = k | x |3
Now time period may depend on T ∝ (mass)x (amplitude)y (k)z
∴ [M0L0T] = [M]x [L]y [ML–1 T–2]z      
= [Mx + z Ly – z T – 2z]
Equating the powers, we get
– 2z = 1 or  z = – 1/2
y – z = 0  or  y = z = – 1/2
Hence T ∝ (amplitude) –1/2 ∝ a–1/2
View all questions of this test
Explore Courses for JEE exam
A particle of mass m is executing oscillations about the origin on the x axis. Its potential energy is V(x) = k | x |3 where k is a positive constant. If the amplitude of oscillation is a, then its time period T isa)proportional to 1/ √ab)independent of ac)proportional to √ad)proportional to a3/2Correct answer is option 'A'. Can you explain this answer?
Question Description
A particle of mass m is executing oscillations about the origin on the x axis. Its potential energy is V(x) = k | x |3 where k is a positive constant. If the amplitude of oscillation is a, then its time period T isa)proportional to 1/ √ab)independent of ac)proportional to √ad)proportional to a3/2Correct answer is option 'A'. 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 particle of mass m is executing oscillations about the origin on the x axis. Its potential energy is V(x) = k | x |3 where k is a positive constant. If the amplitude of oscillation is a, then its time period T isa)proportional to 1/ √ab)independent of ac)proportional to √ad)proportional to a3/2Correct answer is option 'A'. 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 particle of mass m is executing oscillations about the origin on the x axis. Its potential energy is V(x) = k | x |3 where k is a positive constant. If the amplitude of oscillation is a, then its time period T isa)proportional to 1/ √ab)independent of ac)proportional to √ad)proportional to a3/2Correct answer is option 'A'. Can you explain this answer?.
Solutions for A particle of mass m is executing oscillations about the origin on the x axis. Its potential energy is V(x) = k | x |3 where k is a positive constant. If the amplitude of oscillation is a, then its time period T isa)proportional to 1/ √ab)independent of ac)proportional to √ad)proportional to a3/2Correct answer is option 'A'. 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 A particle of mass m is executing oscillations about the origin on the x axis. Its potential energy is V(x) = k | x |3 where k is a positive constant. If the amplitude of oscillation is a, then its time period T isa)proportional to 1/ √ab)independent of ac)proportional to √ad)proportional to a3/2Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A particle of mass m is executing oscillations about the origin on the x axis. Its potential energy is V(x) = k | x |3 where k is a positive constant. If the amplitude of oscillation is a, then its time period T isa)proportional to 1/ √ab)independent of ac)proportional to √ad)proportional to a3/2Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A particle of mass m is executing oscillations about the origin on the x axis. Its potential energy is V(x) = k | x |3 where k is a positive constant. If the amplitude of oscillation is a, then its time period T isa)proportional to 1/ √ab)independent of ac)proportional to √ad)proportional to a3/2Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A particle of mass m is executing oscillations about the origin on the x axis. Its potential energy is V(x) = k | x |3 where k is a positive constant. If the amplitude of oscillation is a, then its time period T isa)proportional to 1/ √ab)independent of ac)proportional to √ad)proportional to a3/2Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A particle of mass m is executing oscillations about the origin on the x axis. Its potential energy is V(x) = k | x |3 where k is a positive constant. If the amplitude of oscillation is a, then its time period T isa)proportional to 1/ √ab)independent of ac)proportional to √ad)proportional to a3/2Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev