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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.
| 1301. |
An antenna behaves as resonant circuit only when its length is [MNR 2002] |
| A. | \[\frac{\lambda }{2}\] |
| B. | \[\frac{\lambda }{4}\] |
| C. | l |
| D. | \[\frac{\lambda }{2}\] or integral multiple of \[\frac{\lambda }{2}\] |
| Answer» E. | |
| 1302. |
The ratio of momenta of an electron and an \[\alpha -\]particle which are accelerated from rest by a potential difference of 100 V is [MNR 1994; RPET 1997] |
| A. | 1 |
| B. | \[\sqrt{\frac{2{{m}_{e}}}{{{m}_{\alpha }}}}\] |
| C. | \[\sqrt{\frac{{{m}_{e}}}{{{m}_{\alpha }}}}\] |
| D. | \[\sqrt{\frac{{{m}_{e}}}{2{{m}_{\alpha }}}}\] |
| Answer» E. | |
| 1303. |
A body moves a distance of 10 m along a straight line under the action of a force of 5 newtons. If the work done is 25 joules, the angle which the force makes with the direction of motion of body is |
| A. | \[0{}^\circ \] |
| B. | \[30{}^\circ \] |
| C. | \[60{}^\circ \] |
| D. | \[90{}^\circ \] |
| Answer» D. \[90{}^\circ \] | |
| 1304. |
Two identical beads of \[m=100\] gram are connected by an inextensible massless string can slide along the two arms AC and BC of a rigid smooth wire frame in a vertical plane. If the system is released from rest, the kinetic energy of the first particle when they have moved by a distance of 0.1 m is\[8 \times {{10}^{-3}}J\]. Find the value of \[\operatorname{x}.\left( g=10m/{{s}^{2}} \right)~~~~~~\] |
| A. | 8 |
| B. | 6 |
| C. | 9 |
| D. | 11 |
| Answer» B. 6 | |
| 1305. |
The volume of a gas at 20°C is 100 cm3 at normal pressure. If it is heated to 100°C, its volume becomes 125 cm3 at the same pressure, then volume coefficient of the gas at normal pressure is [Pb. PET 2002; DPMT 2001] |
| A. | 0.0015/°C |
| B. | 0.0045/°C |
| C. | 0.0025/°C |
| D. | 0.0033/°C |
| Answer» E. | |
| 1306. |
String 1 is connected with string 2. The mass per unit length in string 1 is \[{{\mu }_{1}}\] and the mass per unit length in string 2 is 4\[{{\mu }_{1}}\]. The tension in the strings is T. A travelling wave is coming from the left. What fraction of the energy in the incident wave goes into string 2? |
| A. | 1/8 |
| B. | 4/9 |
| C. | 44257 |
| D. | 44447 |
| Answer» E. | |
| 1307. |
The radii of two metallic spheres \[P\] and \[Q\] are \[{{r}_{1}}\] and\[{{r}_{2}}\] respectively. They are given the same charge. If \[{{r}_{1}}>{{r}_{2}}\]. then on connecting them with a thin wire, the charge will flow [MP PMT 1985] |
| A. | From P to Q |
| B. | From Q to P |
| C. | Neither the charge will flow from P to Q nor from Q to P |
| D. | The information is incomplete |
| Answer» E. | |
| 1308. |
The specific heat at constant pressure and at constant volume for an ideal gas are \[{{C}_{p}}\] and \[{{C}_{v}}\] and its adiabatic and isothermal elasticities are \[{{E}_{\varphi }}\] and \[{{E}_{\theta }}\] respectively. The ratio of \[{{E}_{\varphi }}\] to \[{{E}_{\theta }}\] is [MP PMT 1989; MP PET 1992] |
| A. | \[{{C}_{v}}/{{C}_{p}}\] |
| B. | \[{{C}_{p}}/{{C}_{v}}\] |
| C. | \[{{C}_{p}}{{C}_{v}}\] |
| D. | \[1/{{C}_{p}}{{C}_{v}}\] |
| Answer» C. \[{{C}_{p}}{{C}_{v}}\] | |
| 1309. |
A large cylindrical rod of length L is made by joining two identical rods of copper and steel of length I- each. The rods are completely insulated from the surroundings. If the free end of copper rod is maintained at \[100{}^\circ C\]band that of steel at \[9{}^\circ C\]then the temperature of junction is (Thermal conductivity of copper is 9 times that of steel) |
| A. | \[99{}^\circ C\] |
| B. | \[59{}^\circ C\] |
| C. | \[19{}^\circ C\] |
| D. | \[67{}^\circ C\] |
| Answer» B. \[59{}^\circ C\] | |
| 1310. |
Two bodies of different masses \[{{m}_{1}}\] and \[{{m}_{2}}\] have equal momenta. Their kinetic energies \[{{E}_{1}}\] and \[{{E}_{2}}\] are in the ratio [EAMCET 1990] |
| A. | \[\sqrt{{{m}_{1}}}:\sqrt{{{m}_{2}}}\] |
| B. | \[{{m}_{1}}:{{m}_{2}}\] |
| C. | \[{{m}_{2}}:{{m}_{1}}\] |
| D. | \[m_{1}^{2}:m_{2}^{2}\] |
| Answer» D. \[m_{1}^{2}:m_{2}^{2}\] | |
| 1311. |
Two rods A and B are of equal lengths. Their ends are kept between the same temperature and their area of cross-sections are \[{{A}_{1}}\]and \[{{A}_{2}}\]and thermal conductivities \[{{K}_{1}}\] and \[{{K}_{2}}\]. The rate of heat transmission in the two rods will be equal, if |
| A. | \[{{K}_{1}}{{A}_{2}}={{K}_{2}}{{A}_{1}}\] |
| B. | \[{{K}_{1}}{{A}_{1}}={{K}_{2}}{{A}_{2}}\] |
| C. | \[{{K}_{1}}={{K}_{2}}\] |
| D. | \[{{K}_{1}}A_{1}^{2}={{K}_{2}}A_{2}^{2}\] |
| Answer» C. \[{{K}_{1}}={{K}_{2}}\] | |
| 1312. |
There are two charges \[+1\,\mu C\] and \[+5\,\mu C\]. The ratio of the forces acting on them will be [CPMT 1979] |
| A. | 1 : 5 |
| B. | 1 : 1 |
| C. | 5 : 1 |
| D. | 1 : 25 |
| Answer» C. 5 : 1 | |
| 1313. |
Magnetic field due to 0.1 A current flowing through a circular coil of radius 0.1 m and 1000 turns at the centre of the coil is [CBSE PMT 1999] |
| A. | \[2\times {{10}^{-1}}\,T\] |
| B. | \[4.31\times {{10}^{-2}}\,T\] |
| C. | \[6.28\times {{10}^{-4}}\,T\] |
| D. | \[9.81\times {{10}^{-4}}\,T\] |
| Answer» D. \[9.81\times {{10}^{-4}}\,T\] | |
| 1314. |
Image formed by a concave mirror of focal length 6 cm, is 3 times of the object, then the distance of object from mirror is [RPMT 2000] |
| A. | - 4 cm |
| B. | 8 cm |
| C. | 6 cm |
| D. | 12 cm |
| Answer» B. 8 cm | |
| 1315. |
An electron of mass m when accelerated through a potential difference V has de-Broglie wavelength \[\lambda \]. The de-Broglie wavelength associated with a proton of mass M accelerated through the same potential difference will be |
| A. | \[\lambda \frac{m}{M}\] |
| B. | \[\lambda \sqrt{\frac{m}{M}}\] |
| C. | \[\lambda \frac{M}{m}\] |
| D. | \[\lambda \sqrt{\frac{M}{m}}\] |
| Answer» C. \[\lambda \frac{M}{m}\] | |
| 1316. |
In the glass capillary tube, the shape of the surface of the liquid depends upon [MP PMT 1989] |
| A. | Only on the cohesive force of liquid molecules |
| B. | Only on the adhesive force between the molecules of glass and liquid |
| C. | Only on relative cohesive and adhesive force between the atoms |
| D. | Neither on cohesive nor on adhesive force |
| Answer» D. Neither on cohesive nor on adhesive force | |
| 1317. |
Two plane mirrors A and B are aligned parallel to each other, as shown in the figure, A light ray is incident at an angle \[30{}^\circ \] at a point just side one end of A. The plane of incidence coincides with the plane of the figure. The maximum number of times the ray undergoes reflections (including the first one) before it emerges out is |
| A. | 28 |
| B. | 30 |
| C. | 32 |
| D. | 34 |
| Answer» C. 32 | |
| 1318. |
A sphere of density p, specific heat capacity c and radius r is hung by a thermally insulating thread in an enclosure which is kept at a lower temperature than the sphere. The temperature of the sphere starts to drop at a rate which depends upon the temperature difference between the sphere and the enclosure and the nature of the surface of sphere and is proportional to |
| A. | \[\frac{c}{{{r}^{3}}\rho }\] |
| B. | \[\frac{1}{{{r}^{3}}\rho c}\] |
| C. | \[3{{r}^{3}}\rho c\] |
| D. | \[\frac{1}{r\rho c}\] |
| Answer» E. | |
| 1319. |
According to Newton's law of cooling, the rate of cooling of a body is proportional to \[{{\left( \Delta \theta \right)}^{n}}\], where \[\Delta \theta \] is the difference of the temperature of the body and the surroundings, and n is equal to |
| A. | two |
| B. | three |
| C. | four |
| D. | one |
| Answer» E. | |
| 1320. |
Assertion : The shape of an automobile is so designed that its front resembles the stream line pattern of the fluid through which it moves. Reason : The resistance offered by the fluid is maximum. |
| 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. |
| E. | If assertion is false but reason is true. |
| Answer» D. If the assertion and reason both are false. | |
| 1321. |
The chemical equivalent of copper and zinc are 32 and 108 respectively. When copper and silver voltameter are connected in series and electric current is passed through for sometimes, 1.6 g of copper is deposited. Then, the mass of silver deposited will be [J & K CET 2005] |
| A. | 3.5 g |
| B. | 2.8 g |
| C. | 5.4 g |
| D. | None of these |
| Answer» D. None of these | |
| 1322. |
A concave mirror of focal length f (in air) is immersed in water (\[\mu =4/3\]). The focal length of the mirror in water will be [MNR 1998] |
| A. | \[f\] |
| B. | \[\frac{4}{3}\]\[f\] |
| C. | \[\frac{3}{4}f\] |
| D. | \[\frac{7}{3}\]\[f\] |
| Answer» B. \[\frac{4}{3}\]\[f\] | |
| 1323. |
Assertion : The images formed by total internal reflections are much brighter than those formed by mirrors or lenses. Reason : There is no loss of intensity in total internal reflection. |
| 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. |
| E. | If assertion is false but reason is true. |
| Answer» B. If both assertion and reason are true but reason is not the correct explanation of the assertion. | |
| 1324. |
Assertion : A piece of red glass is heated till it glows in dark. The colour of glowing glass would be orange. Reason : Red and orange is complementary colours. |
| 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. |
| E. | If assertion is false but reason is true. |
| Answer» E. If assertion is false but reason is true. | |
| 1325. |
Assertion : Within a glass slab, a double convex air bubble is formed. This air bubble behaves like a converging lens. Reason : Refractive index of air is more than the refractive index of glass. |
| 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. |
| E. | If assertion is false but reason is true. |
| Answer» E. If assertion is false but reason is true. | |
| 1326. |
Assertion : The viscosity of liquid increases rapidly with rise of temperature. Reason : Viscosity of a liquid is the property of the liquid by virtue of which it opposes the relative motion amongst its different layers. |
| 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. |
| E. | If assertion is false but reason is true. |
| Answer» F. | |
| 1327. |
A wave represented by the given equation \[y=a\cos (kx-\omega \,t)\] is superposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation for the other wave is [IIT 1988; MP PMT 1994, 97; AIIMS 1998; SCRA 1998; MP PET 2001; KCET 2001; AIEEE 2002; UPSEAT 2004] |
| A. | \[y=a\sin (kx+\omega \,t)\] |
| B. | \[y=-a\cos (kx+\omega \,t)\] |
| C. | \[y=-a\cos (kx-\omega \,t)\] |
| D. | \[y=-a\sin (kx-\omega \,t)\] |
| Answer» C. \[y=-a\cos (kx-\omega \,t)\] | |
| 1328. |
In a stationary wave, all particles are [MP PMT 1994] |
| A. | At rest at the same time twice in every period of oscillation |
| B. | At rest at the same time only once in every period of oscillation |
| C. | Never at rest at the same time |
| D. | Never at rest at all |
| Answer» B. At rest at the same time only once in every period of oscillation | |
| 1329. |
The equation of a stationary wave is \[y=0.8\cos \,\left( \frac{\pi x}{20} \right)\sin 200\,\pi t\], where x is in cm and t is in sec. The separation between consecutive nodes will be [MP PET 1994] |
| A. | 20 cm |
| B. | 10 cm |
| C. | 40 cm |
| D. | 30 cm |
| Answer» B. 10 cm | |
| 1330. |
If a body is released into a tunnel dug across the diameter of earth, it executes simple harmonic motion with time period [CPMT 1999] |
| A. | \[T=2\pi \sqrt{\frac{{{R}_{e}}}{g}}\] |
| B. | \[T=2\pi \sqrt{\frac{2\,{{R}_{e}}}{g}}\] |
| C. | \[T=2\pi \sqrt{\frac{{{R}_{e}}}{2g}}\] |
| D. | \[T=2\] seconds |
| Answer» B. \[T=2\pi \sqrt{\frac{2\,{{R}_{e}}}{g}}\] | |
| 1331. |
What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of 10cm (g = 9.8 m/s2) [BHU 2000] |
| A. | 2.2 m/s |
| B. | 1.8 m/s |
| C. | 1.4 m/s |
| D. | 0.6 m/s |
| Answer» D. 0.6 m/s | |
| 1332. |
A simple pendulum has time period T. The bob is given negative charge and surface below it is given positive charge. The new time period will be [AFMC 2004] |
| A. | Less than T |
| B. | Greater than T |
| C. | Equal to T |
| D. | Infinite |
| Answer» B. Greater than T | |
| 1333. |
Which one statement is correct? A parallel plate air condenser is connected with a battery. Its charge, potential, electric field and energy are\[{{Q}_{o}},\ {{V}_{o}},\ {{E}_{o}}\] and \[{{U}_{o}}\]respectively. In order to fill the complete space between the plates a dielectric slab is inserted, the battery is still connected. Now the corresponding values\[Q,\ V,\ E\] and\[U\]are in relation with the initially stated as [IIT 1985] |
| A. | \[Q>{{Q}_{o}}\] |
| B. | \[V>{{V}_{o}}\] |
| C. | \[E>{{E}_{o}}\] |
| D. | \[U>{{U}_{o}}\] |
| Answer» B. \[V>{{V}_{o}}\] | |
| 1334. |
Electric current is due to drift of electrons in [CPMT 1996] |
| A. | Metallic conductors |
| B. | Semi-conductors |
| C. | Both (a) and (b) |
| D. | None of these |
| Answer» D. None of these | |
| 1335. |
Ratio among linear expansion coefficient \[(\alpha )\], areal expansion coefficient \[(\beta )\] and volume expansion coefficient \[(\gamma )\] is |
| A. | 0.0430902777777778 |
| B. | 0.126400462962963 |
| C. | 0.168773148148148 |
| D. | None of these |
| Answer» B. 0.126400462962963 | |
| 1336. |
Two rods, one of aluminum and the other made of steel, having initial length \[{{l}_{1}}\] and \[{{l}_{2}}\] are connected together to form a single rod of length \[{{l}_{1}}+{{l}_{2}}\]. The coefficients of linear expansion for aluminum and steel are \[{{\alpha }_{a}}\] and \[{{\alpha }_{s}}\] respectively. If the length of each rod increases by the same amount when their temperature are raised by \[{{t}^{o}}C\], then find the ratio \[\frac{{{l}_{1}}}{({{l}_{1}}+{{l}_{2}})}\] |
| A. | \[\frac{{{\alpha }_{s}}}{{{\alpha }_{a}}}\] |
| B. | \[\frac{{{\alpha }_{a}}}{{{\alpha }_{s}}}\] |
| C. | \[\frac{{{\alpha }_{s}}}{({{\alpha }_{a}}+{{\alpha }_{s}})}\] |
| D. | \[\frac{{{\alpha }_{a}}}{({{\alpha }_{a}}+{{\alpha }_{s}})}\] |
| Answer» D. \[\frac{{{\alpha }_{a}}}{({{\alpha }_{a}}+{{\alpha }_{s}})}\] | |
| 1337. |
On centigrade scale the temperature of a body increases by 30 degrees. The increase in temperature on Fahrenheit scale is |
| A. | \[50{}^\circ \] |
| B. | \[40{}^\circ \] |
| C. | \[30{}^\circ \] |
| D. | \[54{}^\circ \] |
| Answer» E. | |
| 1338. |
Faraday?s 2nd law states that mass deposited on the electrode is directly proportional to [DCE 1999] |
| A. | Atomic mass |
| B. | Atomic mass × Velocity |
| C. | Atomic mass/Valency |
| D. | Valency |
| Answer» D. Valency | |
| 1339. |
Three sound waves of equal amplitudes have frequencies \[(v-1),\text{ }v,\text{ }(v+1).\] They superpose to give beats. The number of beats produced per second will be: |
| A. | 3 |
| B. | 2 |
| C. | 1 |
| D. | 4 |
| Answer» C. 1 | |
| 1340. |
The springs shown are identical. When\[A=4kg\], the elongation of spring is 1 cm. If \[B=6kg\], the elongation produced by it is [Pb. PET 2002] |
| A. | 4 cm |
| B. | 3 cm |
| C. | 2 cm |
| D. | 1 cm |
| Answer» C. 2 cm | |
| 1341. |
When a body of mass 1.0 kg is suspended from a certain light spring hanging vertically, its length increases by 5 cm. By suspending 2.0 kg block to the spring and if the block is pulled through 10 cm and released the maximum velocity in it in m/s is : (Acceleration due to gravity \[=10m/{{s}^{2}})\] [EAMCET 2003] |
| A. | 0.5 |
| B. | 1 |
| C. | 2 |
| D. | 4 |
| Answer» C. 2 | |
| 1342. |
To make the frequency double of a spring oscillator, we have to [CPMT 2004; MP PMT 2005] |
| A. | Reduce the mass to one fourth |
| B. | Quardruple the mass |
| C. | Double of mass |
| D. | Half of the mass |
| Answer» B. Quardruple the mass | |
| 1343. |
If a hole is bored along the diameter of the earth and a stone is dropped into hole [CPMT 1984] |
| A. | The stone reaches the centre of the earth and stops there |
| B. | The stone reaches the other side of the earth and stops there |
| C. | The stone executes simple harmonic motion about the centre of the earth |
| D. | The stone reaches the other side of the earth and escapes into space |
| Answer» D. The stone reaches the other side of the earth and escapes into space | |
| 1344. |
The dimensions of speed and velocity are |
| A. | \[[{{L}^{2}}T],[L{{T}^{-1}}]\] |
| B. | \[[L{{T}^{-1}}],[L{{T}^{-2}}]\] |
| C. | \[[LT],\,[LT]\] |
| D. | \[[L{{T}^{-1}}],[L{{T}^{-1}}]\] |
| Answer» E. | |
| 1345. |
Two waves are approaching each other with a velocity of 20 m/s and frequency\[n\]. The distance between two consecutive nodes is [Pb. PMT 1999] |
| A. | \[\frac{20}{n}\] |
| B. | \[\frac{10}{n}\] |
| C. | \[\frac{5}{n}\] |
| D. | \[\frac{n}{10}\] |
| Answer» C. \[\frac{5}{n}\] | |
| 1346. |
A wave of frequency 100 Hz is sent along a string towards a fixed end. When this wave travels back after reflection, a node is formed at a distance of 10 cm from the fixed end of the string. The speed of incident (and reflected) wave are [CBSE PMT 1994] |
| A. | 40 m/s |
| B. | 20 m/s |
| C. | 10 m/s |
| D. | 5 m/s |
| Answer» C. 10 m/s | |
| 1347. |
\[y=a\cos (kx+\omega t)\] superimposes on another wave giving a stationary wave having node at x = 0. What is the equation of the other wave [BHU 1998; DPMT 2000] |
| A. | \[-a\cos (kx+\omega t)\] |
| B. | \[a\cos (kx-\omega t)\] |
| C. | \[-a\cos (kx-\omega t)\] |
| D. | \[-a\sin (kx+\omega t)\] |
| Answer» D. \[-a\sin (kx+\omega t)\] | |
| 1348. |
Assertion : Bernoulli's theorem holds for incompressible, non-viscous fluids. Reason : The factor \[\frac{{{v}^{2}}}{2g}\] is called velocity head. |
| 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. |
| E. | If assertion is false but reason is true. |
| Answer» C. If assertion is true but reason is false. | |
| 1349. |
In the circuit below, A and B represent two inputs and C represents the output. The circuit represents |
| A. | NOR gate |
| B. | AND gate |
| C. | NAND gate |
| D. | OR gate |
| Answer» E. | |
| 1350. |
An annular ring with inner and outer radii \[{{R}_{1}}\]and \[{{R}_{2}}\] is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, \[\frac{{{F}_{1}}}{{{F}_{2}}}\] is |
| A. | \[{{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{2}}\] |
| B. | \[\frac{{{R}_{2}}}{{{R}_{1}}}\] |
| C. | \[\frac{{{R}_{1}}}{{{R}_{2}}}\] |
| D. | 1 |
| Answer» D. 1 | |