A particle is executing simple harmonic motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be
Text Solution
Verified by ExpertsThe correct answer is:
B
The formula to calculate the potential energy of the particle executing SHM is given by
...
The formula to calculate the kinetic energy of the same particle is given by
...
Divide equation by equation to obtain the required ratio.
…
Substitute 
for x into equation to calculate the required ratio.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A block of mass 2 kg is attached with two identical springs of spring constant 20 N/m each. The blo…
A mass m attached to free end of a spring executes SHJV t with a period of Is. If the mass is incre…
A particle of mass 250 g executes a simple harmonic motion under a periodic force F = (-25 x) N. Th…
The general displacement of a simple harmonic oscillator is x-Asin t. Let T be its time period. Th…
The velocity of a particle executing SHM varies with displacement (x) as 4v 2 = 50 - x 2 . The time…
In the figure given below, a block of mass M = 490 g placed on a frictionless table is connected wi…