MCQ
Which graph represents the difference between total energy and potential energy of a particle executing $SHM$ Vs it's distance from mean position?
  • A

  • B

  • C


Answer

Correct option: D.

d
$\text { TE. }-P . E=K E$

$K E .=\frac{1}{2} m \omega^2\left(A^2-x^2\right)$

Which is the equation of downward parabola.

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

A bullet mass $10\, gm$ is fired from a gun of mass $1\,kg$. If the recoil velocity is $5\, m/s$, the velocity of the muzzle is ........ $m/s$
A solid sphere falls with terminal velocity of $10 \,cm/s$ in the earth's gravitational field. If  it is allowed to fall freely in a region outside the gravitational field of the earth, the terminal  velocity, will be :-
If $R$ is the radius of the earth and $g$ the acceleration due to gravity on the earth's surface, the mean density of the earth is
A particle moves along a straight line in such a way that it’s acceleration is increasing at the rate of $2 m/s^3$. It’s initial acceleration and velocity were $0,$ the distance covered by it in $t = 3$ second is  ........ $m$
The 'Kangri' is an earthen pot used to stay warm in Kashmir during the winter months. Assume that the 'Kangri' is spherical and of surface area $7 \times 10^{-2} \,m ^{2}$. It contains $300 g$ of a mixture of coal, wood and leaves with calorific value of $30 \,kJ / g$ (and provides heat with $10 \%$ efficiency). The surface temperature of the 'Kangri' is $60^{\circ} C$ and the room temperature is $0^{\circ} C$. Then, a reasonable estimate for the duration $t$ (in h) that the 'Kangri' heat will last is (take the 'Kangri' to be a black body)
A particle starting from the origin $(0,0)$ moves in a straight line in the $(x, y)$ plane. Its coordinates at a later time are $(\sqrt 3,3)$ . The path of the particle makes with the $x -$ axis an angle of  ....... $^o$
In the figure shown, the two projectiles are fired simultaneously. The minimum distance between them during their flight is  ........ $m$
A progressive wave travelling along the positive $x-$ direction is represented by $y(x, t) = A\,sin\,\left( {kx - \omega t + \phi } \right)$. Its snapshot at $t = 0$ is given in the figure For this wave, the phase $\phi $ is
From the top of a tower two stones, whose masses are in the ratio $1  :2$ are thrown one straight up with an initial speed $u$ and the second straight down with the same speed $u$. Then, neglecting air resistance
A plane progressive wave is represented by the equation $y = 0.1\sin \left( {200\pi t - \frac{{20\pi x}}{{17}}} \right)$ where y is displacement in $m$, $ t$ in second and $x$ is distance from a fixed origin in meter. The frequency, wavelength and speed of the wave respectively are