MCQ
For a simple pendulum, a graph is plotted between its kinetic energy $(KE)$ and potential energy $(PE)$ against its displacement $d$. Which one of the following represents these correctly? (graphs are schematic and not drawn to scale)
  • A

  • B

  • C


Answer

Correct option: D.

d
$\mathrm{K} \cdot \mathrm{E}=\frac{1}{2} k\left(A^{2}-d^{2}\right)$

and $\mathrm{P.E.}=\frac{1}{2} k d^{2}$

At mean position $d=0 .$ At extremes positions $d=\mathrm{A}$

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

Lens used to remove long sightedness (hypermetropia) is
A person can not see the objects clearly placed at a distance more than $40\, cm$. He is advised to use a lens of power
A thin wire of length $2\,m$ is placed perpendicular to the $x-y$ plane. It is moved with velocity $\overrightarrow v  = \left( {2\hat i + 3\hat j + \hat k} \right)\,m/s$ through a region of magnetic induction $\overrightarrow B  = \left( {\hat i + 2\hat j} \right)\,wb/{m^2} .$ The potential difference induced between the ends of the wire is......$volts$
The pressure $P,$ volume $V$ and temperature $T$ of a gas in the jar $A$ and the other gas in the jar $B$ at pressure $2P,$ volume $V/4$ and temperature $2T,$ then the ratio of the number of molecules in the jar $A$ and $B$ will be
At atmospheric pressure, the water boils at $100°C$. If pressure is reduced, it will boil at
In a communication system operating at wavelength $800\,nm,$ only one percent of source frequency is available as signal bandwidth. The number of channels accommodated for transmitting $TV$ signals of band width $6\,MHz$ are (Take velocity  of light $c = 3 \times 10^8\,m/s,\,\,h = 6.6 \times 10^{-34}\,J-s$ )
In the figure given, the electric current flowing through the $5\, k \Omega$ resistor is $'x' mA.$

The value of $x$ to the nearest integer is .........

A spherical condenser has inner and outer spheres of radii $a$ and $b$ respectively. The space between the two is filled with air. The difference between the capacities of two condensers formed when outer sphere is earthed and when inner sphere is earthed will be
A drum of radius $R$ and mass $M$, rolls down without slipping along an inclined plane of angle $\theta $. The frictional force
Given below are two statements :

Statement $(I)$ : The mean free path of gas molecules is inversely proportional to square of molecular diameter.

Statement $(II)$ : Average kinetic energy of gas molecules is directly proportional to absolute temperature of gas.

In the light of the above statements, choose the correct answer from the option given below: