MCQ
Relationship between $P,V,$ and $E$ for a gas is
- A$P = \frac{3}{2}\,EV$
- B$V = \frac{2}{3}\,EP$
- C$PV = \frac{3}{2}\,E$
- ✓$PV = \frac{2}{3}\,E$
✓
Answer
Correct option: D.
$PV = \frac{2}{3}\,E$
d
$P = \frac{2}{3} \times $ (unit volume energy) $ = \frac{2}{3}\frac{E}{V}$
$P = \frac{2}{3} \times $ (unit volume energy) $ = \frac{2}{3}\frac{E}{V}$
$\Rightarrow$ $PV = \frac{2}{3}E$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Four persons $K,\,L,\,M$ and $N$ are initially at the corners of a square of side of length $d$. If every person starts moving, such that $K$ is always headed towards $L,\,L$ towards $M,\,M$ is headed directly towards $N$ and $N$ towards $K$, then the four persons will meet after
→A block of mass $m$ is at rest on an another block of same mass as shown in figure. Lower block is attached to the spring, then the maximum amplitude of motion so that both the block will remain in contact is
→From a circular disc of radius $R$, a square is cut out with a radius as its diagonal. The center of mass of remainder part is at a distance (from the centre)
→The moment of inertia of a uniform thin rod about a perpendicular axis passing through one end is $I_{1}$. The same rod is bent into a ring and its moment of inertia about a diameter is $I _{2}$. If $\frac{ I _{1}}{ I _{2}}$ is $\frac{ x \pi^{2}}{3}$, then the value of $x$ will be ...............
→If all the pulleys are massless and string is ideal, find the reading of spring balance
A car of mass $500\, kg$ is driven with acceleration $1\, m/s^2$ along straight level road against constant external resistance of $1000\, N$. When the velocity is $5\, m/s$ the rate at which the engine is working is .............. $\mathrm{kW}$
→A tuning fork of frequency $340\,Hz$ resonates in the fundamental mode with an air column of length $125\,cm$ in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is________ $cm$
→(Velocity of sound in air is $340\,ms ^{-1}$ )
The shear strain is possible in .............
A massless inextensible string in the form of a loop is placed on a horizontal film of soap solution of surface tension $T$. If film is pierced inside the loop and it convert into a circular loop of diameter $d$, then the tension produced in string is ..........
→A barometer tube reads $75 \,cm$ of $Hg$. If tube is gradually inclined at an angle of $30^{\circ}$ with horizontal, keeping the open end in the mercury container, then find the length of mercury column in the barometer tube ......... $cm$
→