MCQOPTIONS
Saved Bookmarks
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.
| 12251. |
Inside a cylinder closed at both ends is a movable piston. On one side of the piston is a mass m of a gas, and on the other side a mass 2m of the same gas. What fraction of volume of the cylinder will be occupied by the larger mass of the gas when the piston is in equilibrium? The temperature is the same throughout. |
| A. | 44287 |
| B. | 44228 |
| C. | 44257 |
| D. | 44256 |
| Answer» D. 44256 | |
| 12252. |
Equation of gas in terms of pressure (P), absolute temperature (T) and density is |
| A. | \[\frac{{{P}_{1}}}{{{T}_{1}}{{d}_{1}}}=\frac{{{P}_{2}}}{{{T}_{2}}{{d}_{2}}}\] |
| B. | \[\frac{{{P}_{1}}{{T}_{1}}}{{{d}_{1}}}=\frac{{{P}_{2}}{{T}_{2}}}{{{d}_{2}}}\] |
| C. | \[\frac{{{P}_{1}}{{d}_{2}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{d}_{1}}}{{{T}_{1}}}\] |
| D. | \[\frac{{{P}_{1}}{{d}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{d}_{2}}}{{{T}_{2}}}\] |
| Answer» B. \[\frac{{{P}_{1}}{{T}_{1}}}{{{d}_{1}}}=\frac{{{P}_{2}}{{T}_{2}}}{{{d}_{2}}}\] | |
| 12253. |
For ideal gas, which statement is not true |
| A. | It obeys Boyle's law |
| B. | It follows \[PV=RT\] |
| C. | Internal energy depends on temperature only |
| D. | It follows Vander-Waal's equation |
| Answer» E. | |
| 12254. |
Two thermally insulated vessels 1 and 2 are filled with air at temperatures \[({{T}_{1}},\,\,{{T}_{2}}),\] volume \[({{V}_{1}},\,\,{{V}_{2}})\] and pressure \[({{P}_{1}},\,\,{{P}_{2}})\] 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. | \[\frac{{{T}_{1}}{{T}_{2}}({{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}})}{{{P}_{1}}{{V}_{1}}{{T}_{2}}+{{P}_{2}}{{V}_{2}}{{T}_{1}}}\] |
| 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. \[\frac{{{T}_{1}}{{T}_{2}}({{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}})}{{{P}_{1}}{{V}_{1}}{{T}_{1}}+{{P}_{2}}{{V}_{2}}{{T}_{2}}}\] | |
| 12255. |
The value of the gas constant (R) calculated from the perfect gas equation is 8.32 joules/gm mole K, whereas its value calculated from the knowledge of \[{{C}_{P}}\] and \[{{C}_{V}}\] of the gas is 1.98 cal/gm mole K. From this data, the value of J is |
| A. | \[4.16\ J/cal\] |
| B. | \[4.18\ J/cal\] |
| C. | \[4.20\ J/cal\] |
| D. | \[4.22\ J/cal\] |
| Answer» D. \[4.22\ J/cal\] | |
| 12256. |
The specific heat of 1 mole of an ideal gas at constant pressure \[({{C}_{P}})\] and at constant volume \[({{C}_{V}})\] which is correct |
| A. | \[{{C}_{P}}\] of hydrogen gas is \[\frac{5}{2}R\] |
| B. | \[{{C}_{V}}\] of hydrogen gas is \[\frac{7}{2}R\] |
| C. | \[{{H}_{2}}\] has very small values of \[{{C}_{p}}\] and \[{{C}_{V}}\] |
| D. | \[{{C}_{p}}-{{C}_{V}}~=1.99cal/mole-K\] for \[{{H}_{2}}\] |
| Answer» E. | |
| 12257. |
The following sets of values for \[{{C}_{V}}\] and \[{{C}_{P}}\] of a gas has been reported by different students. The units are cal/gm-mole-K. Which of these sets is most reliable |
| A. | \[{{C}_{v}}=3,\,{{C}_{p}}=5\] |
| B. | \[{{C}_{V}}=4,\,{{C}_{P}}=6\] |
| C. | \[{{C}_{v}}=3,\,{{C}_{p}}=2\] |
| D. | \[{{C}_{V}}=3,\,{{C}_{P}}=4.2\] |
| Answer» B. \[{{C}_{V}}=4,\,{{C}_{P}}=6\] | |
| 12258. |
If the ratio of vapour density for hydrogen and oxygen is \[\frac{1}{16}\], then under constant pressure the ratio of their rms velocities will be |
| A. | \[\frac{4}{1}\] |
| B. | \[\frac{1}{4}\] |
| C. | \[\frac{1}{16}\] |
| D. | \[\frac{16}{1}\] |
| Answer» B. \[\frac{1}{4}\] | |
| 12259. |
By what factor the r.m.s. velocity will change, if the temperature is raised from \[27{}^\circ C\] to \[327{}^\circ C\] |
| A. | \[\sqrt{2}\] |
| B. | 2 |
| C. | \[2\sqrt{2}\] |
| D. | 1 |
| Answer» B. 2 | |
| 12260. |
According to the kinetic theory of gases the r.m.s. velocity of gas molecules is directly proportional to |
| A. | T |
| B. | \[\sqrt{T}\] |
| C. | \[{{T}^{2}}\] |
| D. | \[1/\sqrt{T}\] |
| Answer» C. \[{{T}^{2}}\] | |
| 12261. |
The value of PV/T for one mole of an ideal gas is nearly equal to |
| A. | \[2J\text{ }mo{{l}^{1}}{{K}^{1}}\] |
| B. | \[8.3cal\text{ }mo{{l}^{1}}{{K}^{1}}\] |
| C. | \[4.2J\text{ }mo{{l}^{1}}{{K}^{1}}\] |
| D. | \[2cal\text{ }mo{{l}^{1}}{{K}^{1}}\] |
| Answer» E. | |
| 12262. |
A flask is filled with 13 gm of an ideal gas at \[27{}^\circ C\]and its temperature is raised to\[52{}^\circ C\]. The mass of the gas that has to be released to maintain the temperature of the gas in the flask at \[52{}^\circ C\]and the pressure remaining the same is |
| A. | 2.5 g |
| B. | 2.0 g |
| C. | 1.5 g |
| D. | 1.0 g |
| Answer» E. | |
| 12263. |
The value of critical temperature in terms of Vander Waals constant a and b is |
| A. | \[{{T}_{c}}=\frac{8a}{27Rb}\] |
| B. | \[{{T}_{c}}=\frac{a}{2Rb}\] |
| C. | \[{{T}_{c}}=\frac{8}{27Rb}\] |
| D. | \[{{T}_{c}}=\frac{27a}{8Rb}\] |
| Answer» B. \[{{T}_{c}}=\frac{a}{2Rb}\] | |
| 12264. |
When air is filled in the balloon, the pressure and volume both increases while temperature does not change. Here Boyle's law is not obeyed because |
| A. | Mass of air is negligible |
| B. | Mass of air does not remain constant |
| C. | Air is not perfect gas |
| D. | Pressure inside the balloon is less than that of the atmospheric pressure |
| Answer» C. Air is not perfect gas | |
| 12265. |
Vapour is injected at a uniform rate in a closed vessel which was initially evacuated. The pressure in the vessel |
| A. | Increase continuously |
| B. | Decreases continuously |
| C. | First increases and then decreases |
| D. | First increase and then becomes constant |
| Answer» D. First increase and then becomes constant | |
| 12266. |
The average kinetic energy of a gas at \[23{}^\circ C\] and 75 cm pressure is \[5\times {{10}^{-14}}\,erg\] for \[{{H}_{2}}\]. The mean kinetic energy of the \[{{O}_{2}}\] at \[227{}^\circ C\] and 150 cm pressure will be |
| A. | \[80\times {{10}^{-14}}\,erg\] |
| B. | \[20\times {{10}^{-14}}\,erg\] |
| C. | \[40\times {{10}^{-14}}\,erg\] |
| D. | \[10\times {{10}^{-14}}\,erg\] |
| Answer» E. | |
| 12267. |
That gas cannot be liquified |
| A. | Which obeys Vander Waal's equation |
| B. | Which obeys gas equation at every temperature and pressure |
| C. | The molecules of which are having potential energy |
| D. | Which is a inert gas |
| Answer» C. The molecules of which are having potential energy | |
| 12268. |
The kinetic energy of one mole gas at 300K temperature, is E. At 400K temperature kinetic energy is \[{E}'.\] The value of \[{E}'/E\] is |
| A. | 1.33 |
| B. | \[\sqrt{\left( \frac{4}{3} \right)}\] |
| C. | \[\frac{16}{9}\] |
| D. | 2 |
| Answer» B. \[\sqrt{\left( \frac{4}{3} \right)}\] | |
| 12269. |
The relation between the gas pressure P and average kinetic energy per unit volume E is |
| A. | \[P=\frac{1}{2}E\] |
| B. | P = E |
| C. | \[P=\frac{3}{2}E\] |
| D. | \[P=\frac{2}{3}E\] |
| Answer» E. | |
| 12270. |
The degrees of freedom of a stationary rigid body about its axis will be |
| A. | One |
| B. | Two |
| C. | Three |
| D. | Four |
| Answer» D. Four | |
| 12271. |
A cubical box with porous walls containing an equal number of \[{{O}_{2}}\] and \[{{H}_{2}}\] molecules is placed in a large evacuated chamber. The entire system is maintained at constant temperature T. The ratio of \[{{v}_{rms}}\]of \[{{O}_{2}}\]molecules to that of the \[{{v}_{rms}}\]of \[{{H}_{2}}\]molecules, found in the chamber outside the box after a short interval is |
| A. | \[\frac{1}{2\sqrt{2}}\] |
| B. | \[\frac{1}{4}\] |
| C. | \[\frac{1}{\sqrt{2}}\] |
| D. | \[\sqrt{2}\] |
| Answer» C. \[\frac{1}{\sqrt{2}}\] | |
| 12272. |
For a gas \[\frac{R}{{{C}_{V}}}=0.67\]. This gas is made up of molecules which are |
| A. | Diatomic |
| B. | Mixture of diatomic and polyatomic molecules |
| C. | Monoatomic |
| D. | Polyatomic |
| Answer» D. Polyatomic | |
| 12273. |
The specific heat of a gas |
| A. | Has only two values \[{{C}_{p}}\] and \[{{C}_{v}}\] |
| B. | Has a unique value at a given temperature |
| C. | Can have any value between 0 and \[\infty \] |
| D. | Depends upon the mass of the gas |
| Answer» D. Depends upon the mass of the gas | |
| 12274. |
Find the value of \[\gamma =\frac{{{C}_{p}}}{{{C}_{V}}}\] for a mixture consisting of \[{{n}_{1}}\] moles of a monoatomic gas and \[{{n}_{2}}\] moles of a gas of diatomic molecules: |
| A. | \[\frac{{{n}_{1}}}{{{n}_{2}}}\] |
| B. | \[\frac{5{{n}_{1}}+7{{n}_{2}}}{3{{n}_{1}}+5{{n}_{2}}}\] |
| C. | \[\frac{3{{n}_{1}}+5{{n}_{2}}}{5{{n}_{1}}+7{{n}_{2}}}\] |
| D. | \[\frac{7{{n}_{1}}+3{{n}_{2}}}{5{{n}_{1}}+3{{n}_{2}}}\] |
| Answer» C. \[\frac{3{{n}_{1}}+5{{n}_{2}}}{5{{n}_{1}}+7{{n}_{2}}}\] | |
| 12275. |
For hydrogen gas, \[{{C}_{p}}-{{C}_{v}}=a,\] and for oxygen gas, \[{{C}_{p}}-{{C}_{v}}=b,\] so the relation between a and b is given by |
| A. | \[a=16b\] |
| B. | \[16b=a\] |
| C. | \[a=4b~\] |
| D. | a=b |
| Answer» E. | |
| 12276. |
If one mole of a monatomic gas \[\left( \gamma =\frac{5}{3} \right)\]is mixed with one mole of a diatomic gas \[\left( \gamma =\frac{7}{5} \right)\], the value of Y for mixture is |
| A. | 1.4 |
| B. | 1.5 |
| C. | 1.53 |
| D. | 3.07 |
| Answer» C. 1.53 | |
| 12277. |
N (< 100) molecules of a gas have velocities 1, 2, 3,........ N km/s respectively. Then ratio of rms speed and average speed is |
| A. | 1 |
| B. | \[\frac{\sqrt{\left( 2N+1 \right)\left( N+1 \right)}}{6N}\] |
| C. | \[\frac{\sqrt{\left( 2N+1 \right)\left( N+1 \right)}}{6}\] |
| D. | \[2\sqrt{\frac{2N+1}{6\left( N+1 \right)}}\] |
| Answer» E. | |
| 12278. |
Temperature of a body is only on manifestation of the mean |
| A. | total mechanical energy of a molecule of the body |
| B. | potential energy of a molecule of the body |
| C. | rotational kinetic energy of a molecule of the body |
| D. | translational kinetic energy of a molecule of the body |
| Answer» E. | |
| 12279. |
A gas mixture consists of molecules of type 1, 2 and 3, with molar masses \[{{m}_{1}}>{{m}_{2}}>{{m}_{3}}.{{v}_{rms}}\] and \[\bar{K}\] are the r. m. s. speed and average kinetic energy of the gases. Which of the following is true? |
| A. | \[{{({{v}_{rms}})}_{1}}<{{({{v}_{rms}})}_{2}}<{{({{v}_{rms}})}_{3}}\] and \[{{(\bar{K})}_{1}}={{(\bar{K})}_{2}}={{(\bar{K})}_{3}}\] |
| B. | \[{{({{v}_{rms}})}_{1}}={{({{v}_{rms}})}_{2}}={{({{v}_{rms}})}_{3}}\]and \[{{(\bar{K})}_{1}}={{(\bar{K})}_{2}}>{{(\bar{K})}_{3}}\] |
| C. | \[{{({{v}_{rms}})}_{1}}>{{({{v}_{rms}})}_{2}}>{{({{v}_{rms}})}_{3}}\] and \[{{(\bar{K})}_{1}}<{{(\bar{K})}_{2}}>{{(\bar{K})}_{3}}\] |
| D. | \[{{({{v}_{rms}})}_{1}}>{{({{v}_{rms}})}_{2}}>{{({{v}_{rms}})}_{3}}\]and \[{{(\bar{K})}_{1}}<{{(\bar{K})}_{2}}<{{(\bar{K})}_{3}}\] |
| Answer» B. \[{{({{v}_{rms}})}_{1}}={{({{v}_{rms}})}_{2}}={{({{v}_{rms}})}_{3}}\]and \[{{(\bar{K})}_{1}}={{(\bar{K})}_{2}}>{{(\bar{K})}_{3}}\] | |
| 12280. |
Consider a collection of a large number of dust particles each with speed v. The direction of velocity is randomly distributed in the collection. What is the magnitude of the relative velocity between a pairs in the collection? |
| A. | \[\frac{3v}{\pi }\] |
| B. | \[\frac{4v}{\pi }\] |
| C. | \[\frac{2v}{\pi }\] |
| D. | \[\frac{v}{\pi }\] |
| Answer» C. \[\frac{2v}{\pi }\] | |
| 12281. |
At constant volume, temperature is increased then |
| A. | collision on walls will be less |
| B. | number of collisions per unit time will increase |
| C. | collisions will be in straight lines |
| D. | collisions will not change |
| Answer» C. collisions will be in straight lines | |
| 12282. |
Gases exert pressure on the walls of containing vessel because the gas molecules |
| A. | possess momentum |
| B. | collide with each other |
| C. | have finite volume |
| D. | obey gas laws |
| Answer» B. collide with each other | |
| 12283. |
The velocity of sound in air is \[332\text{ }m\text{ }{{s}^{-1}}\] at NTP. Find the rms speed of air molecules at NTP. \[\left( \gamma =1.41 \right)\] |
| A. | \[484\text{ }m{{s}^{-1}}\] |
| B. | \[418\text{ }m{{s}^{-1}}\] |
| C. | \[248\text{ }m{{s}^{-1}}\] |
| D. | \[382\text{ }m{{s}^{-1}}\] |
| Answer» B. \[418\text{ }m{{s}^{-1}}\] | |
| 12284. |
A thermodynamic process is shown in figure. The pressures and volumes corresponding to some points in the figure are:\[{{P}_{A}}=3\times {{10}^{4}}Pa,\,\,{{P}_{B}}=8\times {{10}^{4}}Pa\]\[and\,{{V}_{A}}=2\times {{10}^{-3}}{{m}^{3}},\,{{V}_{D}}=5\times {{10}^{-3}}m\] In process\[AB\], 600 J of heat is added to the system and in process\[BC\], 200 J of heat is added to the system. The change in internal energy of the system in process AC would be |
| A. | 560 J |
| B. | 800 J |
| C. | 600 J |
| D. | 640 J |
| Answer» B. 800 J | |
| 12285. |
Certain amount of an ideal gas is contained in a closed vessel. The vessel is moving with a constant velocity\[v\]. The molecular mass of gas is\[M\]. The rise in temperature of the gas when the vessel is suddenly stopped is \[(\gamma ={{C}_{P}}/{{C}_{V}})\] |
| A. | \[\frac{M{{v}^{2}}(\gamma -1)}{2R(\gamma +1)}\] |
| B. | \[\frac{M{{v}^{2}}(\gamma -1)}{2R}\] |
| C. | \[\frac{M{{v}^{2}}}{2R(\gamma +1)}\] |
| D. | \[\frac{M{{v}^{2}}}{2R(\gamma -1)}\] |
| Answer» C. \[\frac{M{{v}^{2}}}{2R(\gamma +1)}\] | |
| 12286. |
A diatomic ideal gas undergoes a thermodynamic change according to the \[P\]-\[V\] diagram shown in figure. The total heat given to the gas is nearly |
| A. | \[2.5{{P}_{0}}{{V}_{0}}\] |
| B. | \[1.4{{P}_{0}}{{V}_{0}}\] |
| C. | \[3.9{{P}_{0}}{{V}_{0}}\] |
| D. | \[1.1{{P}_{0}}{{V}_{0}}\] |
| Answer» D. \[1.1{{P}_{0}}{{V}_{0}}\] | |
| 12287. |
In a mechanical refrigerator, the low temperature coils are at a temperature of \[-23{}^\circ C\] and the compressed gas in the condenser has a temperature of\[27{}^\circ C\]. The theoretical coefficient of performance is |
| A. | 5 |
| B. | 8 |
| C. | 6 |
| D. | 6.5 |
| Answer» B. 8 | |
| 12288. |
Two rings each of radius 'a' are coaxial and the distance between their centres is a. The masses of the rings are\[{{M}_{1}}\text{ }and\text{ }{{M}_{2}}\]. The work done in transporting a particle of a small mass m from centre \[{{\operatorname{C}}_{1}} to {{C}_{2}}\]is : |
| A. | \[\frac{Gm\left( {{M}_{2}}-{{M}_{1}} \right)}{a}\] |
| B. | \[\frac{Gm\left( {{M}_{2}}-{{M}_{1}} \right)}{a\sqrt{2}}\left( \sqrt{2}+1 \right)\] |
| C. | \[\frac{Gm\left( {{M}_{2}}-{{M}_{1}} \right)}{a\sqrt{2}}\left( \sqrt{2}-1 \right)\] |
| D. | \[\frac{Gm\left( {{M}_{2}}-{{M}_{1}} \right)}{\sqrt{2}}a\] |
| Answer» D. \[\frac{Gm\left( {{M}_{2}}-{{M}_{1}} \right)}{\sqrt{2}}a\] | |
| 12289. |
The gravitational potential of two homogeneous spherical shells A and B of same surface density at their respective centres are in the ratio 3 : 4. If the two shells coalesce into single one such that surface charge density remains same, then the ratio of potential at an internal point of the view shell to shell A is equal to |
| A. | 0.126388888888889 |
| B. | 4:3 |
| C. | 0.210416666666667 |
| D. | 5:6 |
| Answer» D. 5:6 | |
| 12290. |
A satellite can be in a geostationary orbit around earth at a distance r from the centre. If the angular velocity of earth about its axis doubles, a satellite can now be in a geostationary orbit around earth if its distance from the centre is |
| A. | \[\frac{r}{2}\] |
| B. | \[\frac{r}{2\sqrt{2}}\] |
| C. | \[\frac{r}{{{\left( 4 \right)}^{1/3}}}\] |
| D. | \[\frac{r}{{{\left( 2 \right)}^{1/3}}}\] |
| Answer» D. \[\frac{r}{{{\left( 2 \right)}^{1/3}}}\] | |
| 12291. |
A spherical uniform planet is rotating about its axis. The velocity of a point on its equator is v. Due to the rotation of planet about its axis the acceleration due to gravity g at equator is 1/2 of g at poles. The escape velocity of a particle on the pole of planet in terms of v is |
| A. | \[{{v}_{e}}=2v\] |
| B. | \[{{v}_{e}}=v\] |
| C. | \[{{v}_{e}}=v/2\] |
| D. | \[{{v}_{e}}=\sqrt{3}v\] |
| Answer» B. \[{{v}_{e}}=v\] | |
| 12292. |
A satellite is launched in the equatorial plane in such a way that it can transmit signals up to \[60{}^\circ \] latitude on the earth. The angular velocity of the satellite is |
| A. | \[\sqrt{\frac{GM}{8{{R}^{3}}}}\] |
| B. | \[\sqrt{\frac{GM}{2{{R}^{3}}}}\] |
| C. | \[\sqrt{\frac{GM}{4{{R}^{3}}}}\] |
| D. | \[\sqrt{\frac{3\sqrt{3}GM}{8{{R}^{3}}}}\] |
| Answer» B. \[\sqrt{\frac{GM}{2{{R}^{3}}}}\] | |
| 12293. |
The work done required to increase the separation distance from \[{{\operatorname{x}}_{1}} to {{x}_{1}}+d\]between two masses \[{{\operatorname{m}}_{1}} and {{m}_{2}}\]is |
| A. | \[\frac{G{{m}_{1}}{{m}_{2}}d}{{{x}_{1}}\left( {{x}_{1}}+d \right)}\] |
| B. | \[\frac{G{{m}_{1}}{{m}_{2}}{{x}_{1}}}{\left( {{x}_{1}}+d \right)d}\] |
| C. | \[\frac{-G{{m}_{1}}{{m}_{2}}{{x}_{1}}}{\left( {{x}_{1}}+d \right)}\] |
| D. | none of these |
| Answer» B. \[\frac{G{{m}_{1}}{{m}_{2}}{{x}_{1}}}{\left( {{x}_{1}}+d \right)d}\] | |
| 12294. |
The potential energy of a rock, having mass m and rotating at a height of\[3.2\times {{10}^{6}}m\] from the earth surface, is |
| A. | \[-6\,\,mg{{R}_{e}}\] |
| B. | \[-0.67\,\,mg{{R}_{e}}\] |
| C. | \[-0.99\,\,mg{{R}_{e}}\] |
| D. | \[-0.33\,\,mg{{R}_{e}}\] |
| Answer» C. \[-0.99\,\,mg{{R}_{e}}\] | |
| 12295. |
What should be the velocity of rotation of earth due to rotation about its own axis so that the weight of a person becomes \[\frac{2}{3}\] of the present weight at the equator? Equatorial radius of the earth is R |
| A. | \[{{\left( \frac{2g}{3R} \right)}^{\frac{1}{2}}}\] |
| B. | \[{{\left( \frac{g}{3R} \right)}^{\frac{1}{2}}}\] |
| C. | \[{{\left( \frac{g}{7R} \right)}^{\frac{1}{2}}}\] |
| D. | \[{{\left( \frac{g}{5R} \right)}^{\frac{1}{2}}}\] |
| Answer» C. \[{{\left( \frac{g}{7R} \right)}^{\frac{1}{2}}}\] | |
| 12296. |
At what height from the ground will the value of g be the same as that in 10 km deep mine below the surface of earth? |
| A. | 20 km |
| B. | 10 km |
| C. | 15 km |
| D. | 5 km |
| Answer» E. | |
| 12297. |
From a sphere of mass M and radius R, a smaller sphere of radius \[\frac{R}{2}\] is carved out such that the cavity made in the original sphere is between its centre and the periphery (See figure). For the configuration in the figure where the distance between the centre of the original sphere and the removed sphere is 3R, the gravitational force between the two sphere is |
| A. | \[\frac{41\,G{{M}^{2}}}{3600\,{{R}^{2}}}\] |
| B. | \[\frac{41\,G{{M}^{2}}}{450\,{{R}^{2}}}\] |
| C. | \[\frac{59\,G{{M}^{2}}}{450\,{{R}^{2}}}\] |
| D. | \[\frac{G{{M}^{2}}}{225\,{{R}^{2}}}\] |
| Answer» B. \[\frac{41\,G{{M}^{2}}}{450\,{{R}^{2}}}\] | |
| 12298. |
Earth binds the atmosphere because of [J&K CET 2005] |
| A. | Gravity |
| B. | Oxygen between earth and atmosphere |
| C. | Both (a) and (b) |
| D. | None of these |
| Answer» B. Oxygen between earth and atmosphere | |
| 12299. |
The force of gravitation is [AIIMS 2002] |
| A. | Repulsive |
| B. | Electrostatic |
| C. | Conservative |
| D. | Non-conservative |
| Answer» D. Non-conservative | |
| 12300. |
Who among the following gave first the experimental value of G [AFMC 1997] |
| A. | Cavendish |
| B. | Copernicus |
| C. | Brook Teylor |
| D. | None of these |
| Answer» B. Copernicus | |