Total energy of a particle having a displacement - x - executing simple harmonic motion isA- proportional to XB- proportional to x 2C- Independent of xD- proportional to X 1 - 2

The correct option is C Independent of xTotal energy of particle executing SHM (E)=12mω^2A^2+U_mean Where U_mean is the (PE) at mean position ∴ It is independe ...

You visited us 4 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Kinetic Energy Formulae

Total energy ...

Question

Total energy of a particle having a displacement $^{'} x^{'}$ executing simple harmonic motion is

proportional to

x

No worries! We‘ve got your back. Try BYJU‘S free classes today!

proportional to

x^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Independent of

x

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

proportional to

x^{1 / 2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C Independent of $x$
Total energy of particle executing SHM $(E) = \frac{1}{2} m ω^{2} A^{2} + U_{m e a n}$
Where $U_{m e a n}$ is the $(P E)$ at mean position
$∴$ It is independent of $x$ .
Hence, option (c) is correct.

Suggest Corrections

Similar questions

Q. The potential energy of a particle executing simple harmonic motion at a distance

x

from the equilibrium position is proportional to

Q. Total energy of a particle having a displacement

^{'} x^{'}

executing simple harmonic motion is

Q. Obtain an expression for the kinetic energy of oscillation and potential energy of a body performing a simple harmonic motion. Show that the total energy of a particle executing simple harmonic motion is proportional to the square of the amplitude and frequency of vibration.

The potential energy of a body is given by $A - B x^{2}$ (where x is the displacement). The magnitude of force acting on the particle is

Q. For a particle executing simple harmonic motion, the acceleration is proportional to
(a) displacement from the mean position
(b) distance from the mean position
(c) distance travelled since t = 0
(d) speed

Join BYJU'S Learning Program

Total energy of a particle having a displacement ′x′ executing simple harmonic motion is

The correct option is C Independent of xTotal energy of particle executing SHM (E)=12mω2A2+Umean Where Umean is the (PE) at mean position ∴ It is independent of x. Hence, option (c) is correct.

Total energy of a particle having a displacement $^{'} x^{'}$ executing simple harmonic motion is

The correct option is C Independent of $x$
Total energy of particle executing SHM $(E) = \frac{1}{2} m ω^{2} A^{2} + U_{m e a n}$
Where $U_{m e a n}$ is the $(P E)$ at mean position
$∴$ It is independent of $x$ .
Hence, option (c) is correct.