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MCQOPTIONS
This section includes 12583 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.
| 12201. |
The unit of magnetic moment is [MP PET 1996; AMU 2000; MP PMT 1995, 2002] |
| A. | Wb/m |
| B. | \[Wb.{{m}^{2}}\] |
| C. | A.m |
| D. | \[A.{{m}^{2}}\] |
| Answer» E. | |
| 12202. |
A bar magnet when placed at an angle of 30o to the direction of magnetic field induction of 5 ´ 10?2 T, experiences a moment of couple 25 ´ 10?6 N-m. If the length of the magnet is 5 cm its pole strength is [EAMCET (Med.) 2000] |
| A. | 2 ´ 10?2 A-m |
| B. | 5 ´ 10?2 A-m |
| C. | 2 A-m |
| D. | 5 A-m |
| Answer» B. 5 ´ 10?2 A-m | |
| 12203. |
A current loop placed in a magnetic field behaves like a [AFMC 1994] |
| A. | Magnetic dipole |
| B. | Magnetic substance |
| C. | Magnetic pole |
| D. | All are true |
| Answer» B. Magnetic substance | |
| 12204. |
A galvanometer of resistance 5 ohms gives a full scale deflection for a potential difference of 10 mV. To convert the galvanometer into a voltmeter giving a full scale deflection for a potential difference of IV, the size of the resistance that must be attached to the voltmeter is |
| A. | 0.495 ohm |
| B. | 49.5 dim |
| C. | 495 ohm |
| D. | 4950 ohm |
| Answer» D. 4950 ohm | |
| 12205. |
In an ammeter 0.2% of main current passes through the galvanometer. If resistance of galvanometer is Q the resistance of ammeter will be: |
| A. | \[\frac{1}{499}G\] |
| B. | \[\frac{499}{500}G\] |
| C. | \[\frac{1}{500}G\] |
| D. | \[\frac{500}{499}G\] |
| Answer» D. \[\frac{500}{499}G\] | |
| 12206. |
An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current T along the same direction is shown in fig. Magnitude of force per unit a length on the middle wire 'B' is given by |
| A. | \[\frac{2{{\mu }_{0}}{{i}^{2}}}{\pi d}\] |
| B. | \[\frac{\sqrt{2}{{\mu }_{0}}{{i}^{2}}}{\pi d}\] |
| C. | \[\frac{{{\mu }_{0}}{{i}^{2}}}{\sqrt{2}\pi d}\] |
| D. | \[\frac{{{\mu }_{0}}{{i}^{2}}}{2\pi d}\] |
| Answer» D. \[\frac{{{\mu }_{0}}{{i}^{2}}}{2\pi d}\] | |
| 12207. |
The magnetic moment of a circular coil carrying current is |
| A. | directly proportional to the length of the wire in the coil |
| B. | inversely proportional to the length of the wire in the coil |
| C. | directly proportional to the square of the length of the wire in the coil |
| D. | inversely proportional to the square of the length of the wire in the coil |
| Answer» D. inversely proportional to the square of the length of the wire in the coil | |
| 12208. |
Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency f Hz. The magnitude of magnetic induction at the centre of the ring is |
| A. | \[\frac{{{\mu }_{0}}qf}{2R}\] |
| B. | \[\frac{{{\mu }_{0}}q}{2f\,R}\] |
| C. | \[\frac{{{\mu }_{0}}q}{2\pi f\,R}\] |
| D. | \[\frac{{{\mu }_{0}}qf}{2\pi \,R}\] |
| Answer» B. \[\frac{{{\mu }_{0}}q}{2f\,R}\] | |
| 12209. |
Two similar coils of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and 2I, respectively The resultant magnetic field induction at the centre will be: |
| A. | \[\frac{\sqrt{5}{{\mu }_{0}}I}{2R}\] |
| B. | \[\frac{3{{\mu }_{0}}I}{2R}\] |
| C. | \[\frac{{{\mu }_{0}}I}{2R}\] |
| D. | \[\frac{{{\mu }_{0}}I}{R}\] |
| Answer» B. \[\frac{3{{\mu }_{0}}I}{2R}\] | |
| 12210. |
Consider a hypothetic spherical body. The body is cut into two parts about the diameter. One of hemispherical portion has mass distribution m whie the other portion has identical charge distribution q. The body is rotated about the axis with constant speed o. Then, the ratio of magnetic moment to angular momentum is |
| A. | \[\frac{q}{2m}\] |
| B. | \[>\frac{q}{2m}\] |
| C. | \[<\frac{q}{2m}\] |
| D. | cannot be calculated |
| Answer» B. \[>\frac{q}{2m}\] | |
| 12211. |
In a mass spectrometer used for measuring the masses of ions, the ions are initially accelerated by an electric potential V and then made to describe semicircular path of radius R using a magnetic field B. If V and B are kept constant, the \[ratio\,\left( \frac{ch\operatorname{arge}\,on\,the\,ion}{mass\,of\,the\,ion} \right)\] will be proportional to |
| A. | \[1/{{R}^{2}}\] |
| B. | \[{{R}^{2}}\] |
| C. | R |
| D. | \[1/R\] |
| Answer» B. \[{{R}^{2}}\] | |
| 12212. |
A charged particle of mass m and charge q travels on a circular path of radius r that is perpendicular to a magnetic field B. The time taken by the particle to complete one revolution is |
| A. | \[\frac{2\pi {{q}^{2}}B}{m}\] |
| B. | \[\frac{2\pi mq}{B}\] |
| C. | \[\frac{2\pi m}{qB}\] |
| D. | \[\frac{2\pi qB}{m}\] |
| Answer» D. \[\frac{2\pi qB}{m}\] | |
| 12213. |
Mixed \[H{{e}^{+}}\] and \[{{O}^{2+}}\]ions (mass of \[H{{e}^{+}}=4\,\,amu\] and that of \[{{O}^{2+}}=16\,\,amu)\] beam passes a region of constant perpendicular magnetic field. If kinetic energy of all the ions is same then [Orissa JEE 2002] |
| A. | \[H{{e}^{+}}\] ions will be deflected more than those of \[{{O}^{2+}}\] |
| B. | \[H{{e}^{+}}\]ions will be deflected less than those of \[{{O}^{2+}}\] |
| C. | All the ions will be deflected equally |
| D. | No ions will be deflected |
| Answer» D. No ions will be deflected | |
| 12214. |
An electron (charge q coulomb) enters a magnetic field of H \[weber/{{m}^{2}}\] with a velocity of \[v\,m/s\] in the same direction as that of the field the force on the electron is [MP PET 2000] |
| A. | Hqv Newton?s in the direction of the magnetic field |
| B. | Hqv dynes in the direction of the magnetic field |
| C. | Hqv Newton?s at right angles to the direction of the magnetic field |
| D. | Zero |
| Answer» E. | |
| 12215. |
A charged particle moving in a magnetic field experiences a resultant force [MP PMT 1994] |
| A. | In the direction of field |
| B. | In the direction opposite to that field |
| C. | In the direction perpendicular to both the field and its velocity |
| D. | None of the above |
| Answer» D. None of the above | |
| 12216. |
A particle with \[{{10}^{-11}}\,coulomb\] of charge and \[{{10}^{-7}}\,kg\] mass is moving with a velocity of \[{{10}^{8}}\,m/s\] along the y-axis. A uniform static magnetic field \[B=0.5\,Tesla\] is acting along the x-direction. The force on the particle is [MP PMT 1997] |
| A. | \[5\times {{10}^{-11}}\,N\] along \[\hat{i}\] |
| B. | \[5\times {{10}^{3}}\] N along \[\hat{k}\] |
| C. | \[5\times {{10}^{-11}}\,N\] along \[-\hat{j}\] |
| D. | \[5\times {{10}^{-4}}\,N\] along \[-\hat{k}\] |
| Answer» E. | |
| 12217. |
An electron is moving in the north direction. It experiences a force in vertically upward direction. The magnetic field at the position of the electron is in the direction of [MP PET 2003] |
| A. | East |
| B. | West |
| C. | North |
| D. | South |
| Answer» B. West | |
| 12218. |
A beam of well collimated cathode rays travelling with a speed of \[5\times {{10}^{6}}\,m{{s}^{-1}}\] enter a region of mutually perpendicular electric and magnetic fields and emerge undeviated from this region. If \[|B|\,=0.02\,T\], the magnitude of the electric field is [Haryana CEE 1996] |
| A. | \[{{10}^{5}}\,V{{m}^{-1}}\] |
| B. | \[2.5\times {{10}^{8}}\,V{{m}^{-1}}\] |
| C. | \[1.25\times {{10}^{10}}\,V{{m}^{-1}}\] |
| D. | \[2\times {{10}^{3}}\,V{{m}^{-1}}\] |
| Answer» B. \[2.5\times {{10}^{8}}\,V{{m}^{-1}}\] | |
| 12219. |
A proton and a deutron both having the same kinetic energy, enter perpendicularly into a uniform magnetic field B. For motion of proton and deutron on circular path of radius \[{{R}_{p}}\] and \[{{R}_{d}}\] respectively, the correct statement is [MP PET 1995] |
| A. | \[{{R}_{d}}=\sqrt{2}\,{{R}_{p}}\] |
| B. | \[{{R}_{d}}={{R}_{p}}/\sqrt{2}\] |
| C. | \[{{R}_{d}}={{R}_{p}}\] |
| D. | \[{{R}_{d}}=2{{R}_{p}}\] |
| Answer» B. \[{{R}_{d}}={{R}_{p}}/\sqrt{2}\] | |
| 12220. |
Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describes circular path of radius \[{{R}_{1}}\] and \[{{R}_{2}}\] respectively. The ratio of mass of X to that of Y is [IIT-JEE 1988; CBSE PMT1995; MP PMT 2001] |
| A. | \[{{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{1/2}}\] |
| B. | \[\frac{{{R}_{2}}}{{{R}_{1}}}\] |
| C. | \[{{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{2}}\] |
| D. | \[\frac{{{R}_{1}}}{{{R}_{2}}}\] |
| Answer» D. \[\frac{{{R}_{1}}}{{{R}_{2}}}\] | |
| 12221. |
Lorentz force can be calculated by using the formula [MP PET 1994, 2002, 03; CBSE PMT 2002] |
| A. | \[\overrightarrow{F}=q\,(\overrightarrow{E}+\overrightarrow{v}\times \overrightarrow{B})\] |
| B. | \[\overrightarrow{F}=q\,(\overrightarrow{E}-\overrightarrow{v}\times \overrightarrow{B})\] |
| C. | \[\overrightarrow{F}=q\,(\overrightarrow{E}+\overrightarrow{v}\cdot \overrightarrow{B})\] |
| D. | \[\overrightarrow{F}=q\,(\overrightarrow{E}\times \overrightarrow{B}+\overrightarrow{v})\] |
| Answer» B. \[\overrightarrow{F}=q\,(\overrightarrow{E}-\overrightarrow{v}\times \overrightarrow{B})\] | |
| 12222. |
A strong magnetic field is applied on a stationary electron, then [BIT 1989; MP PMT 1995; CPMT 1999] |
| A. | The electron moves in the direction of the field |
| B. | The electron moves in an opposite direction |
| C. | The electron remains stationary |
| D. | The electron starts spinning |
| Answer» D. The electron starts spinning | |
| 12223. |
A proton (mass \[=1.67\times {{10}^{-27}}\,kg\] and charge \[=1.6\times {{10}^{-19}}\,C)\] enters perpendicular to a magnetic field of intensity 2 \[weber/{{m}^{2}}\] with a velocity \[3.4\times {{10}^{7}}\,m/\sec \]. The acceleration of the proton should be [DPMT 1999] |
| A. | \[6.5\times {{10}^{15}}\,m/{{\sec }^{2}}\] |
| B. | \[6.5\times {{10}^{13}}\,m/{{\sec }^{2}}\] |
| C. | \[6.5\times {{10}^{11}}\,m/{{\sec }^{2}}\] |
| D. | \[6.5\times {{10}^{9}}\,m/{{\sec }^{2}}\] |
| Answer» B. \[6.5\times {{10}^{13}}\,m/{{\sec }^{2}}\] | |
| 12224. |
A charged particle moves with velocity v in a uniform magnetic field \[\overrightarrow{B}\]. The magnetic force experienced by the particle is [CBSE PMT 1990] |
| A. | Always zero |
| B. | Never zero |
| C. | Zero, if \[\overrightarrow{B}\] and \[\overrightarrow{v\,}\] are perpendicular |
| D. | Zero, if \[\overrightarrow{B}\] and \[\overrightarrow{v\,}\] are parallel |
| Answer» E. | |
| 12225. |
An electric field of 1500 V / m and a magnetic field of 0.40 weber / meter2 act on a moving electron. The minimum uniform speed along a straight line the electron could have is [KCET 2005] |
| A. | 1.6 ´ 1015 m / s |
| B. | 6 ´ 10-16 m / s |
| C. | 3.75 ´ 103 m / s |
| D. | 3.75 ´ 102 m / s |
| Answer» D. 3.75 ´ 102 m / s | |
| 12226. |
In case Hall effect for a strip having charge Q and area of cross-section A, the Lorentz force is [DCE 2004] |
| A. | Directly proportional to Q |
| B. | Inversely proportional to Q |
| C. | Inversely proportional to A |
| D. | Directly proportional to A |
| Answer» B. Inversely proportional to Q | |
| 12227. |
An electron is projected along the axis of a circular conductor carrying some current. Electron will experience force [DCE 2002] |
| A. | Along the axis |
| B. | Perpendicular to the axis |
| C. | At an angle of 4o with axis |
| D. | No force experienced |
| Answer» E. | |
| 12228. |
The cyclotron frequency of an electron grating in a magnetic field of 1 T is approximately [AIIMS 2004] |
| A. | 28 MHz |
| B. | 280 MHz |
| C. | 2.8 GHz |
| D. | 28 GHz |
| Answer» E. | |
| 12229. |
Figure shows an equilateral triangle ABC of side \[l\]carrying currents as shown, and placed in a uniform magnetic field B perpendicular to the plane of triangle. The magnitude of magnetic force on the triangle is |
| A. | \[ilb\] |
| B. | \[2ilb\] |
| C. | \[3\,ilb\] |
| D. | Zero |
| Answer» B. \[2ilb\] | |
| 12230. |
Three long, straight and parallel wires are arranged as shown in figure. The force experienced by 10 cm length of wire Q is |
| A. | \[1.4\times {{10}^{-4}}N\]towards the right |
| B. | \[1.4\times {{10}^{-4}}N\]towards the left |
| C. | \[2.6\times {{10}^{-4}}N\]towards the right |
| D. | \[2.6\times {{10}^{-4}}N\]towards the left |
| Answer» B. \[1.4\times {{10}^{-4}}N\]towards the left | |
| 12231. |
The materials suitable for making electromagnets should have |
| A. | High retentivity and high coercivity |
| B. | Low retentivity and low coercivity |
| C. | High retentivity and low coercivity |
| D. | Low retentivity and high coercivity. |
| Answer» D. Low retentivity and high coercivity. | |
| 12232. |
A 100 turns coil shown in figure carries a current of 2 amp in a magnetic field \[B=0.2\,Wb/{{m}^{2}}\]. The torque acting on the coil is [MP PET 1997] |
| A. | 0.32 Nm tending to rotate the side AD out of the page |
| B. | 0.32 Nm tending to rotate the side AD into the page |
| C. | 0.0032 Nm tending to rotate the side AD out of the page |
| D. | 0.0032 Nm tending to rotate the side AD into the page |
| Answer» B. 0.32 Nm tending to rotate the side AD into the page | |
| 12233. |
A particle of mass m and charge q moves with a constant velocity v along the positive x direction. It enters a region containing a uniform magnetic field B directed along the negative z direction, extending from x = a to x = b. The minimum value of v required so that the particle can just enter the region \[x>b\] is [IIT-JEE (Screening) 2002] |
| A. | \[qb\,B/m\] |
| B. | \[q(b-a)B/m\] |
| C. | \[qa\,B/m\] |
| D. | \[q(b+a)B/2m\] |
| Answer» C. \[qa\,B/m\] | |
| 12234. |
Current i is carried in a wire of length L. If the wire is turned into a circular coil, the maximum magnitude of torque in a given magnetic field B will be [Pb. PET 2004] |
| A. | \[\frac{Li{{B}^{2}}}{2}\] |
| B. | \[\frac{L{{i}^{2}}B}{2}\] |
| C. | \[\frac{{{L}^{2}}iB}{4\pi }\] |
| D. | \[\frac{L{{i}^{2}}B}{4\pi }\] |
| Answer» D. \[\frac{L{{i}^{2}}B}{4\pi }\] | |
| 12235. |
The expression for magnetic induction inside a solenoid of length L carrying a current I and having N number of turns is [MP PMT/PET 1998] |
| A. | \[\frac{{{\mu }_{0}}}{4\pi }\frac{N}{LI}\] |
| B. | \[{{\mu }_{0}}NI\] |
| C. | \[\frac{{{\mu }_{0}}}{4\pi }NLI\] |
| D. | \[{{\mu }_{0}}\frac{N}{L}I\] |
| Answer» E. | |
| 12236. |
A wire in the form of a circular loop of one turn carrying a current produces a magnetic field B at the centre. If the same wire is looped into a coil of two turns and carries the same current, the new value of magnetic induction at the centre is [CBSE 2002; KCET 2003] |
| A. | \[5B\] |
| B. | \[3B\] |
| C. | \[2B\] |
| D. | \[4B\] |
| Answer» E. | |
| 12237. |
Tesla is the unit of [AIIMS 1999] |
| A. | Electric flux |
| B. | Magnetic flux |
| C. | Electric field |
| D. | Magnetic field |
| Answer» E. | |
| 12238. |
PQRS is a square loop made of uniform conducting wire the current enters the loop at P and leaves at S. Then the magnetic field will be [KCET 2000] |
| A. | Maximum at the centre of the loop |
| B. | Zero at the centre of loop |
| C. | Zero at all points inside the loop |
| D. | Zero at all points outside of the loop |
| Answer» C. Zero at all points inside the loop | |
| 12239. |
A small cylindrical soft iron piece is kept in a galvanometer so that [MP PMT 2001] |
| A. | A radial uniform magnetic field is produced |
| B. | A uniform magnetic field is produced |
| C. | There is a steady deflection of the coil |
| D. | All of these |
| Answer» E. | |
| 12240. |
The magnetic field \[d\overrightarrow{B}\] due to a small current element \[d\overrightarrow{l\,}\] at a distance \[\overrightarrow{r\,}\] and element carrying current i is, or Vector form of Biot-savart's law is [CBSE PMT 1996; MP PET 2002; MP PMT 2000] |
| A. | \[d\overrightarrow{B}=\frac{{{\mu }_{0}}}{4\pi }i\,\left( \frac{d\overrightarrow{l\,}\times \overrightarrow{r\,}}{r} \right)\] |
| B. | \[d\overrightarrow{B}=\frac{{{\mu }_{0}}}{4\pi }{{i}^{2}}\,\left( \frac{d\overrightarrow{l\,}\times \overrightarrow{r\,}}{r} \right)\] |
| C. | \[d\overrightarrow{B}=\frac{{{\mu }_{0}}}{4\pi }{{i}^{2}}\,\left( \frac{d\overrightarrow{l\,}\times \overrightarrow{r\,}}{{{r}^{2}}} \right)\] |
| D. | \[d\overrightarrow{B}=\frac{{{\mu }_{0}}}{4\pi }i\,\left( \frac{d\overrightarrow{l\,}\times \overrightarrow{r\,}}{{{r}^{3}}} \right)\] |
| Answer» E. | |
| 12241. |
A box contains N molecules of a perfect gas at temperature \[{{T}_{1}}\] and pressure \[{{P}_{1}}\]. The number of molecules in the box is doubled keeping the total kinetic energy of the gas same as before. If the new pressure is \[{{P}_{2}}\] and temperature \[{{T}_{2}},\] then |
| A. | \[{{P}_{2}}=P,\,\,{{T}_{2}}={{T}_{1}}\] |
| B. | \[{{P}_{2}}={{P}_{1}},\,{{T}_{2}}=\frac{{{T}_{1}}}{2}\] |
| C. | \[{{P}_{2}}=2{{P}_{1}},\,{{T}_{2}}={{T}_{1}}\] |
| D. | \[{{P}_{2}}=2{{P}_{1}},\,{{T}_{2}}=\frac{{{T}_{1}}}{2}\] |
| Answer» C. \[{{P}_{2}}=2{{P}_{1}},\,{{T}_{2}}={{T}_{1}}\] | |
| 12242. |
A container has \[{{n}_{1}}\] moles of a monoatomic gas and \[{{n}_{2}}\] moles of a diatomic gas. The molar specific heat capacity at constant volume \[({{C}_{v}})\] of the mixture is found to be 2R. Then the ratio \[{{n}_{1}}/{{n}_{2}}\] is |
| A. | 44319 |
| B. | 44260 |
| C. | 1 |
| D. | none of these |
| Answer» D. none of these | |
| 12243. |
A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats \[\gamma \]. It is moving with speed v and is suddenly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by |
| A. | \[\frac{(\gamma -1)}{2(\gamma +1)R}M{{v}^{2}}K\] |
| B. | \[\frac{(\gamma -1)}{2\gamma }M{{v}^{2}}K\] |
| C. | \[\frac{\gamma M{{v}^{2}}}{2R}K\] |
| D. | \[\frac{(\gamma -1)}{2R}M{{v}^{2}}K\] |
| Answer» E. | |
| 12244. |
Certain perfect gas is found to obey \[P{{V}^{3/2}}=\] constant during adiabatic process. If such a gas at initial temperature T is adiabatically compressed to half the initial volume, its final temperature will be |
| A. | \[\sqrt{2}\,\cdot T\] |
| B. | 2T |
| C. | \[2\sqrt{2}\,\cdot T\] |
| D. | 4T |
| Answer» B. 2T | |
| 12245. |
From the following statements, concerning ideal gas at any given temperature T, select the correct one(s) |
| A. | The coefficient of volume expansion at constant pressure is same for all ideal gases |
| B. | In a gaseous mixture, the average translational kinetic energy of the molecules of each component is same |
| C. | The mean free path of molecules increases with the decrease in pressure |
| D. | The average translational kinetic energy per molecule of oxygen gas is 3KT (K being Boltzmann constant) |
| Answer» B. In a gaseous mixture, the average translational kinetic energy of the molecules of each component is same | |
| 12246. |
40 calories of heat is needed to raise the temperature of 1 mol of an ideal monoatomic gas from \[20{}^\circ C\] to \[30{}^\circ C\] at a constant pressure. The amount of heat required to raise its temperature over the same interval at a constant volume (R = 2 cal/mol/K) is |
| A. | 20 cal |
| B. | 40 cal |
| C. | 60 cal |
| D. | 80 cal |
| Answer» B. 40 cal | |
| 12247. |
A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300 K. The ratio of the average rotational kinetic energy per \[{{O}_{2}}\] molecule to that per \[{{N}_{2}}\] molecule is |
| A. | 0.0423611111111111 |
| B. | 0.0430555555555556 |
| C. | 0.0840277777777778 |
| D. | Depends on the moments of inertia of the two molecules |
| Answer» B. 0.0430555555555556 | |
| 12248. |
An adiabatic vessel contains \[{{n}_{1}}=3\] moles of a diatomic gas. The moment of inertia of each molecule is \[I=2.56\times {{10}^{-46}}\,kg\,\,{{m}^{2}}\] and root mean angular velocity is\[{{\omega }_{0}}=5\times {{10}^{12}}\,rad/s\]. The temperature of the gas in the vessel is |
| A. | 250 K |
| B. | 500 K |
| C. | 1000 K |
| D. | 1500 K |
| Answer» B. 500 K | |
| 12249. |
A vessel containing 1 mol of \[{{O}_{2}}\] gas (molar mass 32) at a temperature T. The pressure of the gas is P. An identical vessel containing 1 mol of \[He\] gas (molar mass 4) at temperature 2T has a pressure of |
| A. | P/8 |
| B. | 2P |
| C. | 3P |
| D. | 8P |
| Answer» C. 3P | |
| 12250. |
Two thermally insulated vessels 1 and 2 are filled with air at temperature \[{{T}_{1}},\,{{T}_{2}};\] volumes \[{{V}_{1}},\,{{V}_{2}}\] and pressures \[{{P}_{1}},\,{{P}_{2}},\] respectively. If the value joining the two vessels is opened, the temperature inside the vessel at equilibrium will be |
| A. | \[{{T}_{1}}={{T}_{2}}\] |
| B. | \[({{T}_{1}}+{{T}_{2}})/2\] |
| C. | \[\frac{{{T}_{1}}{{T}_{2}}({{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}})}{{{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}}{{T}_{1}}}\] |
| D. | \[\frac{{{T}_{1}}{{T}_{2}}({{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}})}{{{P}_{1}}{{V}_{1}}{{T}_{1}}+{{P}_{2}}{{V}_{2}}{{T}_{2}}}\] |
| Answer» D. \[\frac{{{T}_{1}}{{T}_{2}}({{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}})}{{{P}_{1}}{{V}_{1}}{{T}_{1}}+{{P}_{2}}{{V}_{2}}{{T}_{2}}}\] | |