Question:
If the time period of a particle executing SHM is 8 s, then the time period of the potential energy of this particle is
If the time period of a particle executing SHM is 8 s, then the time period of the potential energy of this particle is
Show Hint
Energy completes two full cycles for every one cycle of displacement in SHM.
Updated On: Apr 28, 2026
- 16 s
- 4 s
- 2 s
- 8 s
- 32 s
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Concept
In SHM, potential energy (and kinetic energy) oscillates at twice the frequency of the displacement.
Step 2: Analysis
Frequency of energy $f_E = 2 \times f_{\text{displacement}}$.
Step 3: Calculation
Time period of energy $T_E = \frac{T_{\text{displacement}}}{2} = \frac{8}{2} = 4\ \text{s}$. Final Answer: (B)
In SHM, potential energy (and kinetic energy) oscillates at twice the frequency of the displacement.
Step 2: Analysis
Frequency of energy $f_E = 2 \times f_{\text{displacement}}$.
Step 3: Calculation
Time period of energy $T_E = \frac{T_{\text{displacement}}}{2} = \frac{8}{2} = 4\ \text{s}$. Final Answer: (B)
Was this answer helpful?
0
0
Top KEAM Physics Questions
- A body oscillates with SHM according to the equation (in SI units), $x = 5 cos \left(2\pi t +\frac{\pi}{4}\right) .$ Its instantaneous displacement at $t = 1$ second is
Kepler's second law (law of areas) of planetary motion leads to law of conservation of
- Two capillary tubes A and B of diameter $1\, mm$ and $2\, mm$ respectively are dipped vertically in a liquid. If the capillary rise in A is 6 cm, then the capillary rise in B is
- In the circuit given in figure, 1 and 2 are ammeters. Just after key K is pressed to complete the circuit, the reading will be
- A plate has a length $ 5\pm 0.1\text{ }cm $ and breadth $ 2\pm 0.01\text{ }cm $ . Then the area of the plate is:
View More Questions
Top KEAM Energy in simple harmonic motion Questions
- A body oscillates with SHM according to the equation (in SI units), $x = 5 cos \left(2\pi t +\frac{\pi}{4}\right) .$ Its instantaneous displacement at $t = 1$ second is
- A particle of 100 g mass is projected vertically up with a kinetic energy of 20 J. The maximum height reached by the particle is (\( g = 10 \) m/s\( ^2 \)) (neglecting air resistance).
- Impending motion is opposed by:
- A particle executes linear simple harmonic motion and its potential energy (P.E.), kinetic energy (K.E.), total energy (T.E.) are measured as functions of displacement \(x\) from the mean position at the origin. Then
Top KEAM Questions
- i.$\quad$ They help in respiration ii.$\quad$ They help in cell wall formation iii.$\quad$ They help in DNA replication iv. $\quad$They increase surface area of plasma membrane Which of the following prokaryotic structures has all the above roles?
- A body oscillates with SHM according to the equation (in SI units), $x = 5 cos \left(2\pi t +\frac{\pi}{4}\right) .$ Its instantaneous displacement at $t = 1$ second is
- The pH of a solution obtained by mixing 60 mL of 0.1 M BaOH solution at 40m of 0.15m HCI solution is
Kepler's second law (law of areas) of planetary motion leads to law of conservation of
- If $\int e^{2x}f' \left(x\right)dx =g \left(x\right)$, then $ \int\left(e^{2x}f\left(x\right) + e^{2x} f' \left(x\right)\right)dx =$
View More Questions