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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.
| 2301. |
Sand is being dropped on a conveyor belt at the rate of\[\text{M kg/s}\]. The force (in N) necessary to keep the belt moving with a constant velocity of \[\text{v m/s}\] will be: |
| A. | \[\text{Mv}\] |
| B. | \[\text{2 Mv}\] |
| C. | \[\frac{\text{Mv}\,}{2}\] |
| D. | \[\frac{\text{Mv}\,}{3}\] |
| Answer» B. \[\text{2 Mv}\] | |
| 2302. |
A stone is dropped from a height h. It hits the ground with a certain momentum P. If the same stone is dropped from a height 100% more than the previous height, the momentum when it hits the ground will change by: |
| A. | 0.68 |
| B. | 0.41 |
| C. | 2 |
| D. | 1 |
| Answer» C. 2 | |
| 2303. |
A particle moves in the X-Y plane under the influence of force such that its linear momentum is\[\vec{p}(t)=-A[\hat{i}\cos (kt)-\hat{j}\sin (kt)]\], where A and k are constants. The angle between the force and the momentum is |
| A. | \[0{}^\circ \] |
| B. | \[30{}^\circ \] |
| C. | \[45{}^\circ \] |
| D. | \[90{}^\circ \] |
| Answer» E. | |
| 2304. |
A shopper pushes a shopping cart of a store with a constant force of 75 N [forward]. The shopping cart exerts a force of 75 N [backward] on the shopper |
| A. | only if the velocity of the cart is constant. |
| B. | only if there is no friction between the cart and the floor. |
| C. | only if the velocity of the cart is increasing. |
| D. | system to be the shopper and cart. |
| Answer» E. | |
| 2305. |
The force required to stop a car of mass 800 kg, moving at a speed of \[20\text{ }m{{s}^{-1}}\] over a distance of 25m in 2.5 sec is |
| A. | 1200N |
| B. | 6400 N |
| C. | 1600N |
| D. | 1800N |
| Answer» C. 1600N | |
| 2306. |
A hammer weighing 3 kg strikes the head of a nail with a speed of \[2\text{ }m{{s}^{-1}}\] drives it by 1 cm into the wall. The impulse imparted to the wall is |
| A. | 6Ns |
| B. | 3Ns |
| C. | 2Ns |
| D. | 12 Ns |
| Answer» B. 3Ns | |
| 2307. |
Two bodies of masses 1 kg and 2 kg moving with same velocities are stopped by the same force. Then the ratio of their stopping distances is |
| A. | \[1:2\] |
| B. | \[2:1\] |
| C. | (c)\[\sqrt{2}:1\] |
| D. | \[1:\sqrt{2}\] |
| Answer» B. \[2:1\] | |
| 2308. |
A ball of mass 10 g moving perpendicular to the plane of the wall strikes it and rebounds in the same line with the same velocity. If the impulse experienced by the wall is 0.54 Ns, the velocity of the ball is |
| A. | \[27\text{ }m{{s}^{-1}}\] |
| B. | \[3.7\text{ }m{{s}^{-1}}\] |
| C. | \[54\text{ }m{{s}^{-1}}\] |
| D. | \[37\text{ }m{{s}^{-1}}\] |
| Answer» B. \[3.7\text{ }m{{s}^{-1}}\] | |
| 2309. |
If n bullets each of mass m are fired with a velocity v per second from a machine gun, the force required to hold the gun in position is |
| A. | \[\left( n+1 \right)mv\] |
| B. | \[\frac{mv}{{{n}^{2}}}\] |
| C. | \[\frac{mv}{n}\] |
| D. | \[mnv\] |
| Answer» E. | |
| 2310. |
A block of mass 4 kg is suspended through two light spring balances A and B. Then A and B will read respectively: |
| A. | 4 kg and zero kg |
| B. | Zero kg and 4 kg |
| C. | 4 kg and 4 kg |
| D. | 2 kg and 2 kg |
| Answer» D. 2 kg and 2 kg | |
| 2311. |
A block of mass m is placed on a smooth wedge of inclination 6. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block (g is acceleration due to gravity) will be |
| A. | \[mg/cos\,\theta \] |
| B. | \[mg\text{ }cos\,\theta \] |
| C. | \[mg\text{ sin}\,\theta \] |
| D. | \[mg\] |
| Answer» B. \[mg\text{ }cos\,\theta \] | |
| 2312. |
A truck accelerates on a horizontal road due to the force exerted by the |
| A. | road |
| B. | engine |
| C. | earth |
| D. | driver |
| Answer» B. engine | |
| 2313. |
An object of mass 10 kg moves at a constant speed of\[10\text{ }m{{s}^{-1}}\]. A constant force that acts for 4 sec on the object gives it a speed of \[2\text{ }m{{s}^{-1}}\] in opposite direction. The force acting on the object is |
| A. | -3N |
| B. | -30 N |
| C. | 3N |
| D. | 30 N |
| Answer» C. 3N | |
| 2314. |
If a stone is thrown out of an accelerated train, then acceleration of the stone at any instant depends on |
| A. | force acting on it at that instant |
| B. | acceleration of the train |
| C. | Both [a] & [b] |
| D. | None of these |
| Answer» B. acceleration of the train | |
| 2315. |
A 600 kg rocket is set for a vertical firing. If the exhaust speed is \[1000\text{ }m{{s}^{-1}}\], the mass of the gas ejected per second to supply the thrust needed to overcome the weight of rocket is |
| A. | \[117.6\text{ kg}{{\text{s}}^{-1}}\] |
| B. | \[58.6\text{ kg}{{\text{s}}^{-1}}\] |
| C. | \[6\text{ kg}{{\text{s}}^{-1}}\] |
| D. | \[76.4\text{ kg}{{\text{s}}^{-1}}\] |
| Answer» D. \[76.4\text{ kg}{{\text{s}}^{-1}}\] | |
| 2316. |
Two particles of equal mass are connected to a rope AB of negligible mass such that one is at end A and other dividing the length of rope in the ratio \[1:2\]from B. The rope is rotated about end B in a horizontal plane. Ratio of tensions in the smaller part to the other is (ignore effect of gravity) |
| A. | \[4:3~\] |
| B. | \[1:4\] |
| C. | \[1:2\] |
| D. | \[1:3\] |
| Answer» B. \[1:4\] | |
| 2317. |
A mass of 1 kg is suspended by a thread. It is (i) lifted up with an acceleration \[4.9\text{ }m/{{s}^{2}}\], (ii) Lowered with an acceleration\[4.9\text{ }m/{{s}^{2}}\]. The ratio of the tensions is |
| A. | \[3\text{ }:\text{ }1\] |
| B. | \[1\text{ }:\text{ }2\] |
| C. | \[1\text{ }:\text{ }3\] |
| D. | \[2\text{ }:\text{ }1\] |
| Answer» B. \[1\text{ }:\text{ }2\] | |
| 2318. |
The K.E. of one mole of an ideal gas is E=(3/2) RT. Then \[{{C}_{p}}\]will be |
| A. | 0.5 R |
| B. | 0.1 R |
| C. | 1.5 R |
| D. | 2.5 R |
| Answer» E. | |
| 2319. |
The relation between internal energy U, pressure P and volume V of an ideal gas in an adiabatic process is \[U=1+3PV.\]What is the value of the ratio of the molar specific heats \[\left( \frac{{{C}_{p}}}{{{C}_{V}}} \right)\]=? |
| A. | 2/3 |
| B. | 4/3 |
| C. | 44230 |
| D. | 1 |
| Answer» C. 44230 | |
| 2320. |
The molar specific heat at constant pressure of an ideal gas is (9/2)R. The ratio of specific heat at constant pressure to that at constant volume is |
| A. | 1.58 |
| B. | 1.82 |
| C. | 1.28 |
| D. | 1.44 |
| Answer» D. 1.44 | |
| 2321. |
For a certain gas the ratio of specific heats is given to be y = 1.5. For this gas |
| A. | \[{{C}_{V}}=3R/J~\] |
| B. | \[{{C}_{p}}=3R/J\] |
| C. | \[{{C}_{p}}=5R/J\] |
| D. | \[{{C}_{V}}=5R/J\] |
| Answer» C. \[{{C}_{p}}=5R/J\] | |
| 2322. |
One mole of a diatomic gas is taken through the process \[P{{V}^{n}}=k,\] where n and k are constant. If the heat capacity of gas is negative, then the value of n may be |
| A. | \[\frac{5}{7}\] |
| B. | \[-\frac{5}{7}\] |
| C. | \[\frac{9}{7}\] |
| D. | \[-\frac{9}{7}\] |
| Answer» D. \[-\frac{9}{7}\] | |
| 2323. |
For a gas, difference between two specific heats is \[5000\text{ }J/mole{}^\circ C.\]If the ratio of specific heat is 1.6, the two specific heats are in \[T=190.2K.\] |
| A. | \[{{C}_{p}}=1.33\times {{10}^{4}},{{C}_{V}}=2.66\times {{10}^{4}}\] |
| B. | \[{{C}_{p}}=13.3\times {{10}^{4}},{{C}_{V}}=8.33\times {{10}^{4}}\] |
| C. | \[{{C}_{p}}=1.33\times {{10}^{4}},{{C}_{V}}=8.33\times {{10}^{3}}\] |
| D. | \[{{C}_{p}}=2.6\times {{10}^{4}},{{C}_{V}}=8.33\times {{10}^{4}}\] |
| Answer» D. \[{{C}_{p}}=2.6\times {{10}^{4}},{{C}_{V}}=8.33\times {{10}^{4}}\] | |
| 2324. |
One mole of a gas occupies 22.4 lit at N.T.P. Calculate the difference between two molar specific heats of the gas. \[J=4200J/kcal.\] |
| A. | 1.979kcal/k mol K |
| B. | 2.378 kcal/k mol K |
| C. | 4.569 kcal/k mol K |
| D. | 3.028 kcal/k mol K |
| Answer» B. 2.378 kcal/k mol K | |
| 2325. |
The value of \[{{C}_{p}}-{{C}_{v}}\] is 1.00R for a gas sample in state A and is 1.06R in state B. Let \[{{P}_{A}},{{P}_{B}}\] denote the pressure and \[{{T}_{A}},{{T}_{B}}\] denote the temperature of the states A and B respectively. Then most likely |
| A. | \[{{P}_{A}}<{{P}_{B}}\text{ and }{{T}_{A}}>{{T}_{B}}\] |
| B. | \[{{P}_{A}}>{{P}_{B}}\text{ and }{{T}_{A}}<{{T}_{B}}\] |
| C. | \[{{P}_{A}}={{P}_{B}}\text{ and }{{T}_{A}}<{{T}_{B}}\] |
| D. | \[{{P}_{A}}>{{P}_{B}}\text{ and }{{T}_{A}}={{T}_{B}}\] |
| Answer» B. \[{{P}_{A}}>{{P}_{B}}\text{ and }{{T}_{A}}<{{T}_{B}}\] | |
| 2326. |
A monoatomic ideal gas is taken through a reversible process whose equation is given by: \[p=k{{V}^{-\frac{1}{2}}}\] Where p is the pressure and V is the volume of the gas. The molar heat capacity of the gas in the above process, is |
| A. | \[{{C}_{p}}+lR\] |
| B. | \[{{C}_{v}}-lR\] |
| C. | \[{{C}_{v}}+lR~\] |
| D. | \[~{{C}_{p}}+2R\] |
| Answer» D. \[~{{C}_{p}}+2R\] | |
| 2327. |
At very high temperatures vibrational degrees also becomes active. At such temperatures an ideal diatomic gas has a molar specific heat at constant pressure, \[{{C}_{p}}\] is |
| A. | 3R/2 |
| B. | 5R/2 |
| C. | 6R/2 |
| D. | 9R/2 |
| Answer» E. | |
| 2328. |
If for a gas, the gas is made up of molecules which are |
| A. | diatomic |
| B. | mixture of diatomic and polyatomic molecules |
| C. | monoatomic |
| D. | polyatomic |
| Answer» D. polyatomic | |
| 2329. |
The molar specific heat at constant pressure of an ideal gas is (7/2) R. The ratio of specific heat at constant pressure to that at constant volume is |
| A. | 8/7 |
| B. | 5/7 |
| C. | 9/7 |
| D. | 44323 |
| Answer» E. | |
| 2330. |
The specific heat of \[Ar\] at constant volume is \[0.075\text{ }k{{g}^{-1}}{{K}^{-1}}.\] Calculate the atomic weight \[~\left( R=2\text{ }cal\text{ }mo{{l}^{-1}}{{K}^{-1}} \right)\] |
| A. | 40 |
| B. | 40.4 |
| C. | 40.2 |
| D. | 40.8 |
| Answer» B. 40.4 | |
| 2331. |
The ratio \[{{C}_{p}}/{{C}_{v}}\] for a gas mixture consisting of 8g of helium and 16 g of oxygen is |
| A. | 24.2/15 |
| B. | 15/23 |
| C. | 27/17 |
| D. | 17/27 |
| Answer» B. 15/23 | |
| 2332. |
The molar specific heats of an ideal gas at constant pressure and volume are denoted by \[{{C}_{p}}\] and\[{{C}_{v}}\], respectively. If \[\gamma =\frac{{{C}_{p}}}{{{C}_{v}}}\] and R is the universal gas constant, then Cy is equal to |
| A. | \[\frac{R}{\left( \gamma -1 \right)}\] |
| B. | \[\frac{\left( \gamma -1 \right)}{R}\] |
| C. | \[\gamma R\] |
| D. | \[\frac{1+\gamma }{1-\gamma }\] |
| Answer» B. \[\frac{\left( \gamma -1 \right)}{R}\] | |
| 2333. |
4.0 g of a gas occupies 22.4 liters at NTP. The specific heat capacity of the gas at constant volume is \[5.0J{{K}^{-1}}.\]If the speed of sound in this gas at NTP is \[952\text{ }m{{s}^{-1}},\] then the heat capacity at constant pressure is (Take gas constant \[R=8.3\text{ }J{{K}^{-1}}mo{{l}^{-1}}\]) |
| A. | \[7.5\text{ }J{{K}^{-1}}mo{{l}^{-1}}\] |
| B. | \[7.0\text{ }J{{K}^{-1}}mo{{l}^{-1}}\] |
| C. | \[8.5J{{K}^{-1}}mo{{l}^{-1}}\] |
| D. | \[8.0\text{ }J{{K}^{-1}}mo{{l}^{-1}}\] |
| Answer» E. | |
| 2334. |
When do real gases approach the ideal gas behaviour? |
| A. | At low pressure and low temperature |
| B. | At low pressure and high temperature |
| C. | At high pressure and high temperature |
| D. | At high pressure and low temperature |
| Answer» C. At high pressure and high temperature | |
| 2335. |
When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is |
| A. | 44318 |
| B. | 3/5 |
| C. | 44380 |
| D. | 44382 |
| Answer» E. | |
| 2336. |
Two cylinders A and B fitted with pistons contain equal amounts of an ideal diatomic gas at 300 K. The piston of A is free to move, while that B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in A is 30 K, then the rise in temperature of the gas in B is |
| A. | 30 K |
| B. | 18 K |
| C. | 50 K |
| D. | 42 K |
| Answer» E. | |
| 2337. |
Two moles of ideal helium gas are in a rubber balloon at \[30{}^\circ C.\] The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to \[35{}^\circ C.\] The amount of heat required in raising the temperature is nearly (take R = 8.31 J/mol. K) |
| A. | 62 J |
| B. | 104 J |
| C. | 124 J |
| D. | 208 J |
| Answer» E. | |
| 2338. |
A mixture of \[{{n}_{1}}\] moles of monoatomic gas and \[{{n}_{2}}\] moles of diatomic gas has \[\frac{{{C}_{p}}}{{{C}_{v}}}=\gamma =1.5\]then |
| A. | \[{{n}_{1}}={{n}_{2}}\] |
| B. | \[2{{n}_{1}}={{n}_{2}}\] |
| C. | \[{{n}_{1}}=2{{n}_{2}}\] |
| D. | \[2{{n}_{1}}=3{{n}_{2}}\] |
| Answer» B. \[2{{n}_{1}}={{n}_{2}}\] | |
| 2339. |
The specific heats at constant pressure is greater than that of the same gas at constant volume because |
| A. | at constant pressure work is done in expanding the gas |
| B. | at constant volume work is done in expanding the gas |
| C. | the molecular attraction increases more at constant pressure |
| D. | the molecular vibration increases more at constant pressure |
| Answer» B. at constant volume work is done in expanding the gas | |
| 2340. |
The amount of heat energy required to raise the temperature 1g of Helium at NTP, from T,K to |
| A. | \[\frac{3}{2}{{N}_{a}}{{k}_{B}}\left( {{T}_{2}}-{{T}_{1}} \right)\] |
| B. | \[\frac{3}{4}{{N}_{a}}{{k}_{B}}\left( {{T}_{2}}-{{T}_{1}} \right)\] |
| C. | \[\frac{3}{4}{{N}_{a}}{{k}_{B}}\frac{{{T}_{2}}}{{{T}_{1}}}\] |
| D. | \[\frac{3}{8}{{N}_{a}}{{k}_{B}}\left( {{T}_{2}}-{{T}_{1}} \right)\] |
| Answer» E. | |
| 2341. |
A non-linear triatomic gas is filled inside a vessel. If 'a' fraction of moles dissociate into individual atoms, then average degree of freedom for the mixture is: (neglect vibrational degrees of freedom) |
| A. | \[\frac{3\alpha +6}{\alpha +1}\] |
| B. | \[\frac{\alpha +6}{2\alpha +1}\] |
| C. | \[\frac{3\alpha +6}{\alpha +2}\] |
| D. | \[\frac{3\alpha +6}{2\alpha +1}\] |
| Answer» E. | |
| 2342. |
\[{{H}_{2}},\,~{{O}_{2}},\text{ }{{N}_{2}}\] and \[He\] are enclosed in identical containers under the similar conditions of pressure and temperature. The gases will have |
| A. | same R.M.S. speed |
| B. | same \[\frac{K.E}{kg}\] |
| C. | different \[\frac{K.E.}{mole}\] |
| D. | same \[\frac{K.E.}{vol}\] |
| Answer» E. | |
| 2343. |
An ideal gas is expanding such that \[P{{T}^{2}}=\]constant. The coefficient of volume expansion of the gas is |
| A. | 1/T |
| B. | 2/T |
| C. | 3/T |
| D. | 4/T |
| Answer» D. 4/T | |
| 2344. |
The equation of state of a gas is given by \[\left( P+\frac{a{{T}^{2}}}{V} \right){{V}^{c}}=\left( RT+b \right)\]where a, b, c and R are constants. The isotherms can be represented \[P=A{{V}^{m}}-B{{V}^{n}},\] where A and 5 depend only on temperature and |
| A. | \[m=-c\text{ and }n=-1\] |
| B. | \[m=c\text{ and }n=-1\] |
| C. | \[m=-c\text{ and }n=1\] |
| D. | \[m=c\text{ and }n=-1\] |
| Answer» B. \[m=c\text{ and }n=-1\] | |
| 2345. |
Two thermally insulated vessels 1 and 2 are filled with air at temperatures \[\] volume \[({{V}_{1}},\text{ }{{\text{V}}_{2}})\]and pressure \[({{P}_{1}},\text{ }{{\text{P}}_{2}})\] respectively. If the valve 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. | \[\frac{{{T}_{1}}{{T}_{2}}\left( {{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}} \right)}{{{P}_{1}}{{V}_{1}}{{T}_{2}}+{{P}_{2}}{{V}_{2}}{{T}_{1}}}\] |
| D. | \[\frac{{{T}_{1}}{{T}_{2}}\left( {{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}} \right)}{{{P}_{1}}{{V}_{1}}{{T}_{1}}+{{P}_{2}}{{V}_{2}}{{T}_{2}}}\] |
| Answer» D. \[\frac{{{T}_{1}}{{T}_{2}}\left( {{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}} \right)}{{{P}_{1}}{{V}_{1}}{{T}_{1}}+{{P}_{2}}{{V}_{2}}{{T}_{2}}}\] | |
| 2346. |
Two gases occupy two containers A and B the gas in A, of volume \[0.10{{m}^{3}}\], exerts a pressure of 1.40 MPa and that in B of volume \[0.15{{m}^{3}}\] exerts a pressure 0.7 MPa. The two containers are united by a tube of negligible volume and the gases are allowed to intermingle. Then if the temperature remains constant, the final pressure in the container will be (in MPa) |
| A. | 0.7 |
| B. | 0.98 |
| C. | 1.4 |
| D. | 210 |
| Answer» C. 1.4 | |
| 2347. |
Two different masses m and 3m of an ideal gas are heated separately in a vessel of constant volume, the pressure P and absolute temperature T, graphs for these two cases are shown in the figure as A and B. The ratio of slopes of curves B to A is |
| A. | 0.125694444444444 |
| B. | 1 : 3 |
| C. | 0.375694444444444 |
| D. | 1 : 9 |
| Answer» B. 1 : 3 | |
| 2348. |
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 molecule to that per N, molecule is |
| A. | 1 : 1 |
| B. | 1 : 2 |
| C. | 0.0840277777777778 |
| D. | depends on the moments of inertia of the two molecules |
| Answer» B. 1 : 2 | |
| 2349. |
A polyatomic gas with n degrees of freedom has a mean energy per molecule given by |
| A. | \[\frac{nkT}{N}\] |
| B. | \[\frac{nkT}{2N}\] |
| C. | \[\frac{nkT}{2}\] |
| D. | \[\frac{3kT}{2}\] |
| Answer» D. \[\frac{3kT}{2}\] | |
| 2350. |
The degree of freedom of a molecule of a triatomic gas is |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» D. 8 | |