MCQ
The potential energy of a system increases if work is done
  • by the system against a conservative force. 
  • B
    Upon the system by a conservative force. 
  • C
    Upon the system by a nonconservative force.
  • D
    by the system against a nonconservative force

Answer

Correct option: A.
by the system against a conservative force. 
a
Relation between conservative force and potential energy is,

$F _{\text {cons }}=- dU / dx$

$F _{\text {cons }} \cdot dx =- dU$

$- W =-\int F _{\text {cons }} \cdot dx =\Delta U$

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

Due to some force $F_1$ a body oscillates with period $4/5\, sec$ and due to other force $F_2$ oscillates with period $3/5\, sec$. If both forces act simultaneously, the new period will be .... $\sec$
A simple pendulum with a metallic bob has a time period $T$. The bob is now immersed in a non-viscous liquid and oscillated. If the density of the liquid is $1 / 4$ that of metal, the time period of the same pendulum will be ...........
At the top of the trajectory of a projectile, the directions of its velocity and acceleration are
There is some liquid in a closed bottle. The amount of liquid is continuously decreasing. The vapour in the remaining part:
The moment of inertia $I$ of a solid sphere having fixed volume depends upon its volume $V$ as
The capacity of a vessel is $3$ litres. It contains $6 \,gm$ oxygen, $8\, gm$ nitrogen and $5\, gm$ $C{O_2}$ mixture at $27°C.$ If $R = 8.31\, J/mole$ $ \times $ $kelvin,$ then the pressure in the vessel in $N/{m^2}$ will be (approx.)
The time period of a simple pendulum on a freely moving artificial satellite is
$Assertion :$ The root mean square and most probable speeds of the molecules in a gas are the same.
$Reason :$ The Maxwell distribution for the speed of molecules in a gas in symmetrical.
The moment of inertia of a meter scale of mass $0.6\, kg$ about an axis perpendicular to the scale and  located at the $20\, cm$ position on the scale in $kg \,m^2$ is  (Breadth of the scale is negligible
Consider a gas for which diameter of molecules is $\sigma $ , the gas is at a pressure $P$ and temperature $T$ and $N_a =$ avagodro’s number. The mean free path along $x$ axis is