MCQ
The total energy of a particle, executing simple harmonic motion is
  • A
    $ \propto x$
  • B
    $ \propto {x^2}$
  • Independent of$x$
  • D
    $ \propto {x^{1/2}}$

Answer

Correct option: C.
Independent of$x$
c
(c)Total energy $ = \frac{1}{2}m{\omega ^2}{a^2}$= constant

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The respective speeds of the molecules are $1, 2, 3, 4$ and $5\, km/sec.$ The ratio of their $r.m.s. $ velocity and the average velocity will be
The engine of a jet aircraft applies a thrust force of $10^5\, N$ during take off and causes the plane to attain a velocity of $1\, km/sec$ in $10\, sec$. The mass of the plane is
For two infinitely long charged parallel sheets, the electric field at $P$ will be
The resistances in $WSB$ circuit shown in the diagram all are different and the current through the galvanometer is zero. If all thermal effects are negligible, the current through the galvanometer will not be zero, when
If half life of an element is $69.3$ hours then how much of its percent will decay in $10^{\text {th }}$ to $11^{\text {th }}$ hours. Initial activity $=50\, \mu Ci$
Consider the following logic circuit.
Image
The output is $\mathrm{Y}=0$ when :
A uniform magnetic field exists in the region given by $\vec{B}=3 \hat{i}+4 \hat{j}+5 \hat{k}$. A rod of length $5 \,m$ placed along $y-$ axis is moved along $x$-axis with constant speed $1 \,ms ^{-1}$. Then induced e.m.f. in the rod is ......... $V$
Image
Two concave refracting surfaces of equal radii of curvature and refractive index 1.5 face each other in air as shown in figure. A point object O is placed midway, between P and B. The separation between the images of O , formed by each refracting surface is :
A galvanometer having a resistance of $20\,\Omega $ and $30\, divisions$ on both sides has figure of merit $0.005\, ampere /division$. The resistance that should be connected in series such that it can be used as a voltmeter upto $15\, volt$ is ........... $\Omega$
Two men are walking along a horizontal straight line in the same direction. The man in front walks at a speed $1.0 m s ^{-1}$ and the man behind walks at a speed $2.0 ms ^{-1}$. A third man is standing at a height $12 m$ above the same horizontal line such that all three men are in a vertical plane. The two walking men are blowing identical whistles which emit a sound of frequency $1430 Hz$. The speed of sound in air is $330 m s ^{-1}$. At the instant, when the moving men are $10 m$ apart, the stationary man is equidistant from them. The frequency of beats in $Hz$, heard by the stationary man at this instant, is. . . . .