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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.
| 12301. |
A satellite moves in a circle around the earth. The radius of this circle is equal to one half of the radius of the moon?s orbit. The satellite completes one revolution in [J&K CET 2005] |
| A. | \[\frac{1}{2}\] lunar month |
| B. | \[\frac{2}{3}\] lunar month |
| C. | \[{{2}^{-3/2}}\] lunar month |
| D. | \[{{2}^{3/2}}\] lunar month |
| Answer» D. \[{{2}^{3/2}}\] lunar month | |
| 12302. |
Which of the following quantities does not depend upon the orbital radius of the satellite [DCE 2000,03] |
| A. | \[\frac{T}{R}\] |
| B. | \[\frac{{{T}^{2}}}{R}\] |
| C. | \[\frac{{{T}^{2}}}{{{R}^{2}}}\] |
| D. | \[\frac{{{T}^{2}}}{{{R}^{3}}}\] |
| Answer» E. | |
| 12303. |
Where can a geostationary satellite be installed [MP PMT 2004] |
| A. | Over any city on the equator |
| B. | Over the north or South Pole |
| C. | At height R above earth |
| D. | At the surface of earth |
| Answer» B. Over the north or South Pole | |
| 12304. |
An earth satellite of mass m revolves in a circular orbit at a height h from the surface of the earth. R is the radius of the earth and g is acceleration due to gravity at the surface of the earth. The velocity of the satellite in the orbit is given by [NCERT 1983; AIEEE 2004] |
| A. | \[\frac{g{{R}^{2}}}{R+h}\] |
| B. | Gr |
| C. | \[\frac{gR}{R+h}\] |
| D. | \[\sqrt{\frac{g{{R}^{2}}}{R+h}}\] |
| Answer» E. | |
| 12305. |
Which of the following statements is correct in respect of a geostationary satellite [MP PET 2001] |
| A. | It moves in a plane containing the Greenwich meridian |
| B. | It moves in a plane perpendicular to the celestial equatorial plane |
| C. | Its height above the earth?s surface is about the same as the radius of the earth |
| D. | Its height above the earth?s surface is about six times the radius of the earth |
| Answer» E. | |
| 12306. |
Which one of the following statements regarding artificial satellite of the earth is incorrect [NDA 1995; MP PMT 2000] |
| A. | The orbital velocity depends on the mass of the satellite |
| B. | A minimum velocity of 8 km/sec is required by a satellite to orbit quite close to the earth |
| C. | The period of revolution is large if the radius of its orbit is large |
| D. | The height of a geostationary satellite is about 36000 km from earth |
| Answer» B. A minimum velocity of 8 km/sec is required by a satellite to orbit quite close to the earth | |
| 12307. |
The time period of a geostationary satellite is [EAMCET 1994; MP PMT 1999] |
| A. | 24 hours |
| B. | 12 hours |
| C. | 365 days |
| D. | One month |
| Answer» B. 12 hours | |
| 12308. |
A satellite revolves around the earth in an elliptical orbit. Its speed [NCERT 1981; MP PET 2001] |
| A. | Is the same at all points in the orbit |
| B. | Is greatest when it is closest to the earth |
| C. | Is greatest when it is farthest from the earth |
| D. | Goes on increasing or decreasing continuously depending upon the mass of the satellite |
| Answer» C. Is greatest when it is farthest from the earth | |
| 12309. |
A rocket of mass \[M\] is launched vertically from the surface of the earth with an initial speed \[V\] Assuming the radius of the earth to be \[R\] and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is |
| A. | \[R/\left( \frac{gR}{2{{V}^{2}}}-1 \right)\] |
| B. | \[{{R}_{{}}}\left( \frac{gR}{2{{V}^{2}}}-1 \right)\] |
| C. | \[R/\left( \frac{gR}{2{{V}^{2}}}-1 \right)\] |
| D. | \[R\left( \frac{2gR}{{{V}^{2}}}-1 \right)\] |
| Answer» D. \[R\left( \frac{2gR}{{{V}^{2}}}-1 \right)\] | |
| 12310. |
If \[{{W}_{1}}\], \[{{W}_{2}}\] and \[{{W}_{3}}\] represent the work done in moving a particle from A to B along three different paths 1, 2 and 3, respectively, (as shown in the figure) in the gravitational field of a point mass m, find the correct relation between \[{{W}_{1}}\],\[{{W}_{2}}\] and \[{{W}_{3}}\]. |
| A. | \[{{W}_{1}}>{{W}_{2}}>{{W}_{3}}\] |
| B. | \[{{W}_{1}}={{W}_{2}}={{W}_{3}}\] |
| C. | \[{{W}_{1}}<{{W}_{2}}<{{W}_{3}}\] |
| D. | \[{{W}_{2}}<{{W}_{1}}<{{W}_{3}}\] |
| Answer» C. \[{{W}_{1}}<{{W}_{2}}<{{W}_{3}}\] | |
| 12311. |
Two exactly similar wires of steel and copper are stretched by equal forces. If the difference in their elongations is 0.5 cm, the elongation (\[l\]) of each wireis\[{{Y}_{s}}(steel)=2.0\times {{10}^{11}}N/{{m}^{2}}\] \[{{Y}_{c}}(copper)=1.2\times {{10}^{11}}N/{{m}^{2}}\] |
| A. | \[{{l}_{s}}=0.75\,cm,\,{{l}_{c}}=1.25\,cm\] |
| B. | \[{{l}_{s}}=1.25\,cm,\,{{l}_{c}}=0.75\,cm\] |
| C. | \[{{l}_{s}}=0.25\,cm,\,{{l}_{c}}=0.75\,cm\] |
| D. | \[{{l}_{s}}=0.75\,cm,\,{{l}_{c}}=0.25\,cm\] |
| Answer» B. \[{{l}_{s}}=1.25\,cm,\,{{l}_{c}}=0.75\,cm\] | |
| 12312. |
Escape velocity on the earth [BHU 2001] |
| A. | Is less than that on the moon |
| B. | Depends upon the mass of the body |
| C. | Depends upon the direction of projection |
| D. | Depends upon the height from which it is projected |
| Answer» E. | |
| 12313. |
In the previous question the orbital velocity of the planet will be minimum at [UPSEAT 2003; RPET 2002] |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» D. D | |
| 12314. |
Assertion : Space rockets are usually launched in the equatorial line from west to east. Reason : The acceleration due to gravity is minimum at the equator. |
| A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
| B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
| C. | If assertion is true but reason is false. |
| D. | If the assertion and reason both are false. |
| Answer» C. If assertion is true but reason is false. | |
| 12315. |
The change in potential energy, when a body of mass m is raised to a height nR from the earth's surface is (R = Radius of earth) [MP PMT 1996] |
| A. | \[mgR\frac{n}{n-1}\] |
| B. | nmgR |
| C. | \[mgR\frac{{{n}^{2}}}{{{n}^{2}}+1}\] |
| D. | \[mgR\frac{n}{n+1}\] |
| Answer» E. | |
| 12316. |
If the change in the value of ?g? at a height h above the surface of the earth is the same as at a depth x below it, then (both x and h being much smaller than the radius of the earth) [NCERT 1983; BHU 2002] |
| A. | \[x=h\] |
| B. | \[x=2h\] |
| C. | \[x=\frac{h}{2}\] |
| D. | \[x={{h}^{2}}\] |
| Answer» C. \[x=\frac{h}{2}\] | |
| 12317. |
If a new planet is discovered rotating around Sun with the orbital radius double that of earth, then what will be its time period (in earth's days) [DCE 2004] |
| A. | 1032 |
| B. | 1023 |
| C. | 1024 |
| D. | 1043 |
| Answer» B. 1023 | |
| 12318. |
A thin metal disc of radius r floats on water surface and bends the surface downwards along the perimeter making an angle q with vertical edge of the disc. If the disc displaces a weight of water W and surface tension of water is T, then the weight of metal disc is [AMU (Med.) 1999] |
| A. | \[2\pi rT+W\] |
| B. | \[2\pi rT\cos \theta -W\] |
| C. | \[\text{2}\pi \text{rTcos}\theta +W\] |
| D. | \[W-2\pi rT\cos \theta \] |
| Answer» D. \[W-2\pi rT\cos \theta \] | |
| 12319. |
Oil spreads over the surface of water whereas water does not spread over the surface of the oil, due to [MH CET 2001] |
| A. | Surface tension of water is very high |
| B. | Surface tension of water is very low |
| C. | Viscosity of oil is high |
| D. | Viscosity of water is high |
| Answer» B. Surface tension of water is very low | |
| 12320. |
Consider a liquid contained in a vessel. The liquid solid adhesive force is very weak as compared to the cohesive force in the liquid. The shape of the liquid surface near the solid shall be [MNR 1994] |
| A. | Horizontal |
| B. | Almost vertical |
| C. | Concave |
| D. | Convex |
| Answer» E. | |
| 12321. |
The property of surface tension is obtained in |
| A. | Solids, liquids and gases |
| B. | Liquids |
| C. | Gases |
| D. | Matter |
| Answer» C. Gases | |
| 12322. |
Which of the fact is not due to surface tension |
| A. | Dancing of a camphor piece over the surface of water |
| B. | Small mercury drop itself becomes spherical |
| C. | A liquid surface comes at rest after stirring |
| D. | Mercury does not wet the glass vessel |
| Answer» D. Mercury does not wet the glass vessel | |
| 12323. |
If two soap bubbles of equal radii r coalesce then the radius of curvature of interface between two bubbles will be [J&K CET 2005] |
| A. | r |
| B. | 0 |
| C. | Infinity |
| D. | 1/2r |
| Answer» D. 1/2r | |
| 12324. |
Radius of a soap bubble is 'r', surface tension of soap solution is T. Then without increasing the temperature, how much energy will be needed to double its radius [CPMT 1991; Pb. PMT 2000; RPET 2001] |
| A. | \[4\pi {{r}^{2}}T\] |
| B. | \[2\pi {{r}^{2}}T\] |
| C. | \[12\pi {{r}^{2}}T\] |
| D. | \[24\pi {{r}^{2}}T\] |
| Answer» E. | |
| 12325. |
Two small drops of mercury, each of radius R, coalesce to form a single large drop. The ratio of the total surface energies before and after the change is [AIIMS 2003; DCE 2003] |
| A. | \[1:{{2}^{1/3}}\] |
| B. | \[{{2}^{1/3}}:1\] |
| C. | 2 : 1 |
| D. | 1 : 2 |
| Answer» C. 2 : 1 | |
| 12326. |
When two small bubbles join to form a bigger one, energy is [BHU 2001] |
| A. | Released |
| B. | Absorbed |
| C. | Both (a) and (b) |
| D. | None of these |
| Answer» B. Absorbed | |
| 12327. |
8000 identical water drops are combined to form a big drop. Then the ratio of the final surface energy to the initial surface energy of all the drops together is [EAMCET (Engg.) 2000] |
| A. | 0.0486111111111111 |
| B. | 1 : 15 |
| C. | 1 : 20 |
| D. | 1 : 25 |
| Answer» D. 1 : 25 | |
| 12328. |
The work done in blowing a soap bubble of 10 cm radius is (Surface tension of the soap solution is \[\frac{3}{100}N/m\]) [MP PMT 1995; MH CET 2002] |
| A. | \[75.36\times {{10}^{-4}}joule\] |
| B. | \[37.68\times {{10}^{-4}}joule\] |
| C. | \[150.72\times {{10}^{-4}}joule\] |
| D. | \[75.36joule\] |
| Answer» B. \[37.68\times {{10}^{-4}}joule\] | |
| 12329. |
If the surface tension of a liquid is T, the gain in surface energy for an increase in liquid surface by A is [MP PET 1991; RPMT 2002] |
| A. | \[A{{T}^{-1}}\] |
| B. | \[AT\] |
| C. | \[{{A}^{2}}T\] |
| D. | \[{{A}^{2}}{{T}^{2}}\] |
| Answer» C. \[{{A}^{2}}T\] | |
| 12330. |
The surface tension of a liquid is 5 N/m. If a thin film of the area 0.02 m2 is formed on a loop, then its surface energy will be [CPMT 1977; MP PET 1989; BCECE 2005] |
| A. | \[5\times {{10}^{2}}\,J\] |
| B. | \[2.5\times {{10}^{-2}}\,J\] |
| C. | \[2\times {{10}^{-1}}\,J\] |
| D. | \[5\times {{10}^{-1}}\,J\] |
| Answer» D. \[5\times {{10}^{-1}}\,J\] | |
| 12331. |
A large number of droplets, each of radius, r coalesce to form a bigger drop of radius, R. An engineer designs a machine so that the energy released in this process is converted into the kinetic energy of the drop. Velocity of the drop is (\[T=\]surface tension, \[\rho =\]density) |
| A. | \[{{\left[ \frac{T}{\rho }\left( \frac{1}{r}-\frac{1}{R} \right) \right]}^{1/2}}\] |
| B. | \[{{\left[ \frac{6T}{\rho }\left( \frac{1}{r}-\frac{1}{R} \right) \right]}^{1/2}}\] |
| C. | \[{{\left[ \frac{3T}{\rho }\left( \frac{1}{r}-\frac{1}{R} \right) \right]}^{1/2}}\] |
| D. | \[{{\left[ \frac{2T}{\rho }\left( \frac{1}{r}-\frac{1}{R} \right) \right]}^{1/2}}\] |
| Answer» C. \[{{\left[ \frac{3T}{\rho }\left( \frac{1}{r}-\frac{1}{R} \right) \right]}^{1/2}}\] | |
| 12332. |
As the temperature of a liquid is raised, the coefficient of viscosity |
| A. | Decreases |
| B. | Increases |
| C. | Remains the same |
| D. | May increase or decrease depending on the nature of liquid |
| Answer» B. Increases | |
| 12333. |
Equal volumes of two immiscible liquids of densities \[\rho \] and \[2\rho \] are filled in a vessel as shown in figure. Two small holes are punched at depth \[h/2\]and \[3h/2\] from the surface of lighter liquid. If\[{{v}_{1}}\] and \[{{v}_{2}}\] are the velocities of a flux at these two holes, then \[{{v}_{1}}/{{v}_{2}}\]is |
| A. | \[\frac{1}{2\sqrt{2}}\] |
| B. | \[\frac{1}{2}\] |
| C. | \[\frac{1}{4}\] |
| D. | \[\frac{1}{\sqrt{2}}\] |
| Answer» E. | |
| 12334. |
A cubical box is to be constructed with iron sheets 1 mm in thickness. What can be the minimum value of the external edge so that the cube does not sink in water? \[[{{\delta }_{iron}}=8000kg/{{m}^{3}},{{\delta }_{water}}=1000kg/{{m}^{3}}]\] |
| A. | 4.8cm |
| B. | 5.8cm |
| C. | 6.9 on |
| D. | 7.3cm |
| Answer» B. 5.8cm | |
| 12335. |
An incompressible liquid flows through a horizontal tube as shown in the figure, Then the velocity V of the fluid is |
| A. | \[3.0m/s\] |
| B. | \[1.5m/s\] |
| C. | \[1.0m/s\] |
| D. | \[2.25m/s\] |
| Answer» D. \[2.25m/s\] | |
| 12336. |
A wide vessel with a small hole at the bottom is filled with water (density\[{{\rho }_{1}}\], height\[{{h}_{1}}\]) and kerosene (density\[{{\rho }_{2}}\], height\[{{h}_{2}}\]). Neglecting viscosity effects, the speed with which water flows out is : |
| A. | \[[2g{{({{h}_{1}}+{{h}_{2}})}^{1/2}}\] |
| B. | \[[2g{{({{h}_{1}}{{\rho }_{1}}+{{h}_{2}}{{\rho }_{2}}]}^{1/2}}\] |
| C. | \[{{[2g({{h}_{1}}+{{h}_{2}}({{\rho }_{2}}/{{\rho }_{1}}))]}^{1/2}}\] |
| D. | \[{{[2g({{h}_{1}}+{{h}_{2}}({{\rho }_{1}}/{{\rho }_{2}}))]}^{1/2}}\] |
| Answer» D. \[{{[2g({{h}_{1}}+{{h}_{2}}({{\rho }_{1}}/{{\rho }_{2}}))]}^{1/2}}\] | |
| 12337. |
A uniform wooden stick of length L, cross- section area A and density d is immersed in a liquid of density 4rf. A small body of mass m and negligible volume is attached at the lower end of the rod so that the stick floats vertically in stable equilibrium then |
| A. | \[m>dAL\] |
| B. | \[m<dAL\] |
| C. | \[m<dAL/2\] |
| D. | \[m<dAL/4\] |
| Answer» B. \[m<dAL\] | |
| 12338. |
A boy can reduce the pressure in his lungs to 750 mm of mercury. Using a straw he can drink water from a glass upto the maximum depth of (atmospheric pressure\[=760\text{ }mm\]of mercury; density of mercury\[=13.6gc{{m}^{-3}}\]) |
| A. | 13.6 cm |
| B. | 9.8 cm |
| C. | 10cm |
| D. | 76cm |
| Answer» B. 9.8 cm | |
| 12339. |
The two thigh bones, each of cross-sectional area \[10\text{ }c{{m}^{2}}\]support the upper part of a human body of mass 40 kg. Estimate the average pressure sustained by the bones. Take \[g=10m/{{s}^{2}}\] |
| A. | \[2\times {{10}^{5}}N/{{m}^{2}}\] |
| B. | \[5\times {{10}^{4}}N/{{m}^{2}}\] |
| C. | \[2\times {{10}^{7}}N/{{m}^{2}}\] |
| D. | \[3\times {{10}^{6}}N/{{m}^{2}}\] |
| Answer» B. \[5\times {{10}^{4}}N/{{m}^{2}}\] | |
| 12340. |
A vessel contains oil\[(density=0.8\text{ }gm/c{{m}^{3}})\] over mercury\[(density=13.6\text{ }gm/c{{m}^{3}})\]. A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere in \[gm/c{{m}^{3}}\]is |
| A. | 33 |
| B. | 6.4 |
| C. | 72 |
| D. | 12.8 |
| Answer» D. 12.8 | |
| 12341. |
A hemispherical portion of radius R is removed from the bottom of a cylinder of radius R. The volume of the remaining cylinder is T and its mass M. It is suspended by a string in a liquid of density p where it stays vertical. The upper surface of the cylinder is at a depth h below the liquid surface. The force on the bottom of the cylinder by the liquid is |
| A. | \[Mg\] |
| B. | \[Mg-V\rho g\] |
| C. | \[Mg+\pi {{R}^{2}}h\rho g\] |
| D. | \[\rho g(V+\pi {{R}^{2}}h)\] |
| Answer» E. | |
| 12342. |
A long cylindrical glass vessel has a small hole of radius 'r' at its bottom. The depth to which the vessel can be lowered vertically in the deep water bath (surface tension T) without any water entering inside is [MP PMT 1990] |
| A. | \[4T/\rho rg\] |
| B. | \[3T/\rho rg\] |
| C. | \[2T/\rho rg\] |
| D. | \[T/\rho rg\] |
| Answer» D. \[T/\rho rg\] | |
| 12343. |
If the excess pressure inside a soap bubble is balanced by oil column of height 2 mm, then the surface tension of soap solution will be (r = 1 cm and density d = 0.8 gm/cc) [J & K CET 2004] |
| A. | 3.9 N/m |
| B. | \[3.9\text{ }\times {{10}^{2}}N/m\] |
| C. | \[3.9\text{ }\times {{10}^{3}}N/m\] |
| D. | 3.9 dyne/m |
| Answer» C. \[3.9\text{ }\times {{10}^{3}}N/m\] | |
| 12344. |
A soap bubble in vacuum has a radius of 3 cm and another soap bubble in vacuum has a radius of 4 cm. If the two bubbles coalesce under isothermal condition, then the radius of the new bubble is [MP PMT/PET 1998; JIPMER 2000] |
| A. | 2.3 cm |
| B. | 4.5 cm |
| C. | 5 cm |
| D. | 7 cm |
| Answer» D. 7 cm | |
| 12345. |
A soap bubble assumes a spherical surface. Which of the following statement is wrong [NCERT 1976] |
| A. | The soap film consists of two surface layers of molecules back to back |
| B. | The bubble encloses air inside it |
| C. | The pressure of air inside the bubble is less than the atmospheric pressure; that is why the atmospheric pressure has compressed it equally from all sides to give it a spherical shape |
| D. | Because of the elastic property of the film, it will tend to shrink to as small a surface area as possible for the volume it has enclosed |
| Answer» D. Because of the elastic property of the film, it will tend to shrink to as small a surface area as possible for the volume it has enclosed | |
| 12346. |
A siphon in use is demonstrated in the following figure. The density of the liquid flowing in siphon is 1.5 gm/cc. The pressure difference between the point P and S will be |
| A. | 105 N/m |
| B. | 2 × 105 N/m |
| C. | Zero |
| D. | Infinity |
| Answer» D. Infinity | |
| 12347. |
From the adjacent figure, the correct observation is [KCET 2005] |
| A. | The pressure on the bottom of tank (a) is greater than at the bottom of (b) |
| B. | The pressure on the bottom of the tank (a) is smaller than at the bottom of (B) |
| C. | The pressure depend on the shape of the container |
| D. | The pressure on the bottom of (a) and (b) is the same |
| Answer» E. | |
| 12348. |
A vertical U-tube of uniform inner cross section contains mercury in both sides of its arms. A glycerin (density = 1.3 g/cm3) column of length 10 cm is introduced into one of its arms. Oil of density 0.8 gm/cm3 is poured into the other arm until the upper surfaces of the oil and glycerin are in the same horizontal level. Find the length of the oil column, Density of mercury = 13.6 g/cm3 |
| A. | 10.4 cm |
| B. | 8.2 cm |
| C. | 7.2 cm |
| D. | 9.6 cm |
| Answer» E. | |
| 12349. |
A barometer kept in a stationary elevator reads 76 cm. If the elevator starts accelerating up the reading will be |
| A. | Zero |
| B. | Equal to 76 cm |
| C. | More than 76 cm |
| D. | Less than 76 cm |
| Answer» E. | |
| 12350. |
An ice block contains a glass ball when the ice melts within the water containing vessel, the level of water [AFMC 2005] |
| A. | Rises |
| B. | Falls |
| C. | Unchanged |
| D. | First rises and then falls |
| Answer» C. Unchanged | |