A body is executing Simple Harmonic Motion. At a displacement $x$ its potential energy is ${E_1}$ and at a displacement y its potential energy is ${E_2}$. The potential energy $E$ at displacement $(x + y)$ is
  • A$\sqrt E = \sqrt {{E_1}} - \sqrt {{E_2}} $
  • B$\sqrt E = \sqrt {{E_1}} + \sqrt {{E_2}} $
  • C$E = {E_1} - {E_2}$
  • D$E = {E_1} + {E_2}$
Diffcult
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    The displacement of an oscillator is given by $x = a\, \sin \, \omega t + b\, \cos \, \omega t$. where $a, b$ and $\omega$ are constant. Then :-
    View Solution
  • 2
    A bead of mass $m$ is attached to the mid-point of a tant, weightless string of length $l$ and placed on a frictionless horizontal table.Under a small transverse displacement $x$, as shown in above figure. If the tension in the string is $T$, then the frequency of oscillation is
    View Solution
  • 3
    Two particles are in $SHM$ on same straight line with amplitude $A$ and $2A$ and with same angular frequency $\omega .$ It is observed that when first particle is at a distance $A/\sqrt{2}$ from origin and going toward mean position, other particle is at extreme position on other side of mean position. Find phase difference between the two particles
    View Solution
  • 4
    Equations $y = 2A \cos ^2 \omega \,t$ and $y = A (\sin \omega t + \cos \omega t )$ represent the motion of two particles.
    View Solution
  • 5
    A loaded vertical spring executes $S.H.M.$ with a time period of $4\; sec$. The difference between the kinetic energy and potential energy of this system varies with a period of ........$sec$
    View Solution
  • 6
    A cylindrical piston of mass $M$ slides smoothly inside a long cylinder closed at one end, enclosing a certain mass of gas. The cylinder is kept with its axis horizontal. If the piston is disturbed from its equilibrium position, it oscillates simple harmonically. The period of oscillation will be
    View Solution
  • 7
    The amplitude and the periodic time of a $S.H.M.$ are $ 5\,cm$ and $6\,sec$ respectively. At a distance of $2.5\,cm$ away from the mean position, the phase will be
    View Solution
  • 8
    A particle executing simple harmonic motion of amplitude $5\, cm$ has maximum speed of $31.4\, cm/s$. The frequency of its oscillation is ..... $Hz$
    View Solution
  • 9
    A particle is executing $S.H.M.$ If its amplitude is $2 \,m$ and periodic time $2$ seconds, then the maximum velocity of the particle will be
    View Solution
  • 10
    Two identical spring of constant $K$ are connected in series and parallel as shown in figure. A mass $m$ is suspended from them. The ratio of their frequencies of vertical oscillations will be
    View Solution