The formula of kinetic energy in S.H.M. is, K.E.=21mω2(A2−x2)2, where A is the amplitude of the S.H.M. the formula of potential energy is, P.E.=21mω2x2, so the net energy is defined as, T.E.=P.E.+K.E.=21mω2A2 so the total energy is always constant. Since, energy changes from potential to kinetic and vice-versa the average K.E. in one time period is equal to the average P.E. in one time period.
For a body executing S.H.M. : (a) Potential energy is always equal to its K.E. (b) Average potential and kinetic energy over any given time interval…
JEE Main 2021 — Physics Waves & Oscillations
For a body executing S.H.M. :
(a) Potential energy is always equal to its K.E.
(b) Average potential and kinetic energy over any given time interval are always equal.
(c) Sum of the kinetic and potential energy at any point of time is constant.
(d) Average K.E. in one time period is equal to average potential energy in one time period.
Choose the most appropriate option from the options given below :
Held on 31 Aug 2021 · Verified 6 Jul 2026.
Options
- A
(c) and (d)
- B
only (c)
- C
only (b)
- D
(b) and (c)
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