Question
Download Solution PDFThe total energy of a particle executing S.H.M. is proportional to
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculatipon:
The total energy of a particle executing Simple Harmonic Motion (S.H.M.) is given by the equation:
E = K + U
Where E is the total energy, K is the kinetic energy, and U is the potential energy.
For a particle in SHM, the kinetic energy is:
K = (1/2)mv2
And the potential energy is:
U = (1/2)kx2
The total energy (E) remains constant throughout the motion, and it is the sum of the kinetic and potential energies:
E = (1/2)kA2
Where A is the amplitude of the motion, and k is the spring constant.
Thus, the total energy is directly proportional to the square of the amplitude of the motion.
Correct Answer: Option 4 - square of amplitude of motion
Last updated on Jun 17, 2025
-> The AIIMS BSc Nursing (Hons) Result 2025 has been announced.
->The AIIMS BSc Nursing (Hons) Exam was held on 1st June 2025
-> The exam for BSc Nursing (Post Basic) will be held on 21st June 2025.
-> AIIMS BSc Nursing Notification 2025 was released for admission to the 2025 academic session.