NEET Exam  >  NEET Questions  >   A particle moves such that its acceleration ... Start Learning for Free
A particle moves such that its acceleration ‘a’ is given by a = –bx where x is the displacement from equilibrium position and b is constant. The period of oscillation is
  • a)
    2 π / b
  • b)
    2 π / √b
  • c)
    √2 π / b
  • d)
    2 √π / b
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A particle moves such that its acceleration ‘a’ is given by a = –bx w...
Calculation of Period of Oscillation

Acceleration:

The acceleration of the particle is given by a = -bx.

Period of oscillation:

The period of oscillation T is given by T = 2π/ω, where ω is the angular frequency.

Angular frequency:

The angular frequency ω is given by ω = √(k/m), where k is the spring constant and m is the mass of the particle.

Spring constant:

The spring constant k is given by k = mg/x, where g is the acceleration due to gravity.

Mass:

Since the mass of the particle is not given, we can assume it to be m.

Substituting the values in the equations:

We have a = -bx, k = mg/x, and ω = √(k/m) = √(g/x).

Now, we can substitute the value of k in the equation for ω to get ω = √(g/x) = √(mg/x^2).

Substituting the value of ω in the equation for T, we get T = 2π/ω = 2π/√(mg/x^2) = 2πx/√mg.

Therefore, the period of oscillation T is given by T = 2π/√(mg/x^2) = 2πx/√mg, which is option B.
Free Test
Community Answer
A particle moves such that its acceleration ‘a’ is given by a = –bx w...
=
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
Explore Courses for NEET exam

Top Courses for NEET

A particle moves such that its acceleration ‘a’ is given by a = –bx where x is the displacement from equilibrium position and b is constant. The period of oscillation isa)2 π / bb)2 π / √bc)√2 π / bd)2 √π / bCorrect answer is option 'B'. Can you explain this answer?
Question Description
A particle moves such that its acceleration ‘a’ is given by a = –bx where x is the displacement from equilibrium position and b is constant. The period of oscillation isa)2 π / bb)2 π / √bc)√2 π / bd)2 √π / bCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle moves such that its acceleration ‘a’ is given by a = –bx where x is the displacement from equilibrium position and b is constant. The period of oscillation isa)2 π / bb)2 π / √bc)√2 π / bd)2 √π / bCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves such that its acceleration ‘a’ is given by a = –bx where x is the displacement from equilibrium position and b is constant. The period of oscillation isa)2 π / bb)2 π / √bc)√2 π / bd)2 √π / bCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A particle moves such that its acceleration ‘a’ is given by a = –bx where x is the displacement from equilibrium position and b is constant. The period of oscillation isa)2 π / bb)2 π / √bc)√2 π / bd)2 √π / bCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A particle moves such that its acceleration ‘a’ is given by a = –bx where x is the displacement from equilibrium position and b is constant. The period of oscillation isa)2 π / bb)2 π / √bc)√2 π / bd)2 √π / bCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A particle moves such that its acceleration ‘a’ is given by a = –bx where x is the displacement from equilibrium position and b is constant. The period of oscillation isa)2 π / bb)2 π / √bc)√2 π / bd)2 √π / bCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A particle moves such that its acceleration ‘a’ is given by a = –bx where x is the displacement from equilibrium position and b is constant. The period of oscillation isa)2 π / bb)2 π / √bc)√2 π / bd)2 √π / bCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A particle moves such that its acceleration ‘a’ is given by a = –bx where x is the displacement from equilibrium position and b is constant. The period of oscillation isa)2 π / bb)2 π / √bc)√2 π / bd)2 √π / bCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A particle moves such that its acceleration ‘a’ is given by a = –bx where x is the displacement from equilibrium position and b is constant. The period of oscillation isa)2 π / bb)2 π / √bc)√2 π / bd)2 √π / bCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

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