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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.
| 8301. |
Twelve wires of equal length and same cross-section are connected in the form of a cube. If the resistance of each of the wires is \[R\], then the effective resistance between the two diagonal ends would be [J & K CET 2004] |
| A. | 2\[R\] |
| B. | 12\[R\] |
| C. | \[\frac{5}{6}R\] |
| D. | 8\[R\] |
| Answer» D. 8\[R\] | |
| 8302. |
Can the resultant of 2 vectors be zero [IIIT 2000] |
| A. | Yes, when the 2 vectors are same in magnitude and direction |
| B. | No |
| C. | Yes, when the 2 vectors are same in magnitude but opposite in sense |
| D. | Yes, when the 2 vectors are same in magnitude making an angle of \[\frac{2\pi }{3}\]with each other |
| Answer» D. Yes, when the 2 vectors are same in magnitude making an angle of \[\frac{2\pi }{3}\]with each other | |
| 8303. |
A positively charged ball hangs from a silk thread. We put a positive test charge \[{{q}_{0}}\]at a point and measure \[F/{{q}_{0}}\], then it can be predicted that the electric field strength \[E\] [CPMT 1990] |
| A. | \[>F/{{q}_{0}}\] |
| B. | \[=F/{{q}_{0}}\] |
| C. | \[<F/{{q}_{0}}\] |
| D. | Cannot be estimated |
| Answer» B. \[=F/{{q}_{0}}\] | |
| 8304. |
An air bubble in a water tank rises from the bottom to the top. Which of the following statements are true [Roorkee 2000] |
| A. | Bubble rises upwards because pressure at the bottom is less than that at the top. |
| B. | Bubble rises upwards because pressure at the bottom is greater than that at the top. |
| C. | As the bubble rises, its size increases |
| D. | As the bubble rises, its size decreases |
| Answer» C. As the bubble rises, its size increases | |
| 8305. |
Two point sources X and Y emit waves of same frequency and speed but Y lags in phase behind X by 2pl radian. If there is a maximum in direction D the distance XO using n as an integer is given by |
| A. | \[\frac{\lambda }{2}(n-l)\] |
| B. | \[\lambda (n+l)\] |
| C. | \[\frac{\lambda }{2}(n+l)\] |
| D. | \[\lambda (n-l)\] |
| Answer» C. \[\frac{\lambda }{2}(n+l)\] | |
| 8306. |
A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If m is the refractive index of the material of the prism, the maximum value of the base angle for which light is totally reflected from the hypotenuse is [EAMCET 2003] |
| A. | \[{{\sin }^{-1}}\left( \frac{1}{\mu } \right)\] |
| B. | \[{{\tan }^{-1}}\left( \frac{1}{\mu } \right)\] |
| C. | \[{{\sin }^{-1}}\left( \frac{\mu -1}{\mu } \right)\] |
| D. | \[{{\cos }^{-1}}\left( \frac{1}{\mu } \right)\] |
| Answer» E. | |
| 8307. |
For the transistor circuit shown below, if b = 100, voltage drop between emitter and base is 0.7 V then value of VCE will be |
| A. | 10 V |
| B. | 5 V |
| C. | 13 V |
| D. | 0 V |
| Answer» D. 0 V | |
| 8308. |
Let \[{{m}_{p}}\]be the mass of a proton, \[{{m}_{n}}\]the mass of a neutron, \[{{M}_{1}}\]the mass of a \[_{10}^{20}Ne\] nucleus and \[{{M}_{2}}\]the mass of a \[_{20}^{40}Ca\]nucleus. Then [IIT 1998; DPMT 2000] |
| A. | \[{{M}_{2}}=2{{M}_{1}}\] |
| B. | \[{{M}_{2}}>2{{M}_{1}}\] |
| C. | \[{{M}_{2}}<2{{M}_{1}}\] |
| D. | \[{{M}_{1}}<10({{m}_{n}}+{{m}_{p}})\] |
| Answer» D. \[{{M}_{1}}<10({{m}_{n}}+{{m}_{p}})\] | |
| 8309. |
A square metallic wire loop of side 0.1 m and resistance of 1W is moved with a constant velocity in a magnetic field of 2 wb/m2 as shown in figure. The magnetic field is perpendicular to the plane of the loop, loop is connected to a network of resistances. What should be the velocity of loop so as to have a steady current of 1mA in loop |
| A. | 1 cm/sec |
| B. | 2 cm/sec |
| C. | 3 cm/sec |
| D. | 4 cm/sec |
| Answer» C. 3 cm/sec | |
| 8310. |
The frequency of a stretched uniform wire under tension is in resonance with the fundamental frequency of a closed tube. If the tension in the wire is increased by 8 N, it is in resonance with the first overtone of the closed tube. The initial tension in the wire is [EAMCET (Engg.) 2000] |
| A. | 1 N |
| B. | 4 N |
| C. | 8 N |
| D. | 16 N |
| Answer» B. 4 N | |
| 8311. |
The function \[{{\sin }^{2}}(\omega t)\]represents [AIEEE 2005] |
| A. | A simple harmonic motion with a period \[2\pi /\omega \] |
| B. | A simple harmonic motion with a period \[\pi /\omega \] |
| C. | A periodic but not simple harmonic motion with a period \[2\pi /\omega \] |
| D. | A periodic but not simple harmonic, motion with a period \[\pi /\omega \] |
| Answer» E. | |
| 8312. |
An ice box used for keeping eatable cold has a total wall area of \[1\ metr{{e}^{2}}\] and a wall thickness of \[5.0cm\]. The thermal conductivity of the ice box is \[K=0.01\ joule/metre{{-}^{o}}C\]. It is filled with ice at \[{{0}^{o}}C\] along with eatables on a day when the temperature is 30°C. The latent heat of fusion of ice is \[334\times {{10}^{3}}joules/kg\]. The amount of ice melted in one day is (\[1day=86,400\ \sec onds\]) [MP PMT 1995] |
| A. | \[776\ gms\] |
| B. | \[7760\ gms\] |
| C. | \[11520\ gms\] |
| D. | \[1552\ gms\] |
| Answer» E. | |
| 8313. |
The equivalent resistance between the points P and Q in the network given here is equal to (given \[r=\frac{3}{2}\Omega \]) [AMU (Med.) 2002] |
| A. | \[\frac{1}{2}\,\,\Omega \] |
| B. | 1 W |
| C. | \[\frac{3}{2}\,\,\Omega \] |
| D. | 2 W |
| Answer» C. \[\frac{3}{2}\,\,\Omega \] | |
| 8314. |
An electric dipole is situated in an electric field of uniform intensity E whose dipole moment is p and moment of inertia is I. If the dipole is displaced slightly from the equilibrium position, then the angular frequency of its oscillations is [MP PET 2003] |
| A. | \[{{\left( \frac{pE}{I} \right)}^{1/2}}\] |
| B. | \[{{\left( \frac{pE}{I} \right)}^{3/2}}\] |
| C. | \[{{\left( \frac{I}{pE} \right)}^{1/2}}\] |
| D. | \[{{\left( \frac{p}{IE} \right)}^{1/2}}\] |
| Answer» B. \[{{\left( \frac{pE}{I} \right)}^{3/2}}\] | |
| 8315. |
In a double slit arrangement fringes are produced using light of wavelength\[4800\,\,{AA}\]. One slit is covered by a thin plate of glass of refractive index 1.4 and the other with another glass plate of same thickness but of refractive index 1.7. By doing so the central bright shifts to original fifth bright fringe from centre. Thickness of glass plate is |
| A. | 8 mm |
| B. | 6 mm |
| C. | 4 mm |
| D. | 10 mm |
| Answer» B. 6 mm | |
| 8316. |
An isosceles prism of angle 120° has a refractive index of 1.44. Two parallel monochromatic rays enter the prism parallel to each other in air as shown. The rays emerging from the opposite faces [IIT-JEE 1995] |
| A. | Are parallel to each other |
| B. | Are diverging |
| C. | Make an angle \[2{{\sin }^{-1}}\,(0.72)\] with each other |
| D. | Make an angle \[2\,\{{{\sin }^{-1}}(0.72)-{{30}^{o}}\}\] with each other |
| Answer» E. | |
| 8317. |
In the following circuit find I1 and I2 |
| A. | 0, 0 |
| B. | 5 mA, 5 mA |
| C. | 5 mA, 0 |
| D. | 0, 5 mA |
| Answer» E. | |
| 8318. |
The rest energy of an electron is 0.511 MeV. The electron is accelerated from rest to a velocity 0.5 c. The change in its energy will be [MP PET 1996] |
| A. | 0.026 MeV |
| B. | 0.051 MeV |
| C. | 0.079 MeV |
| D. | 0.105 MeV |
| Answer» D. 0.105 MeV | |
| 8319. |
The potential energy of a particle of mass m is given by \[U(x)=\left\{ \begin{align} & {{E}_{0}};\ \ \ 0\le x\le 1 \\ & \,0\ ;\ \ \ \,\,\,\,x>1 \\ \end{align} \right.\]l1 and l2 are the de-Broglie wavelengths of the particle, when 0 £ x £ 1 and x > 1 respectively. If the total energy of particle is 2E0, the ratio \[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}\] will be [Based on IIT-JEE (Mains) 2005] |
| A. | 2 |
| B. | 1 |
| C. | \[\sqrt{2}\] |
| D. | \[\frac{1}{\sqrt{2}}\] |
| Answer» D. \[\frac{1}{\sqrt{2}}\] | |
| 8320. |
A conducting wire frame is placed in a magnetic field which is directed into the paper. The magnetic field is increasing at a constant rate. The directions of induced current in wires AB and CD are |
| A. | B to A and D to C |
| B. | A to B and C to D |
| C. | A to B and D to C |
| D. | B to A and C to D |
| Answer» B. A to B and C to D | |
| 8321. |
A current of 1.5 A flows through a copper voltameter. The thickness of copper deposited on the electrode surface of area \[50\,c{{m}^{2}}\] in 20 minutes will be (Density of copper = 9000 \[kg/{{m}^{3}}\] and E.C.E. of copper = 0.00033 g/C) |
| A. | \[2.6\times {{10}^{-5}}m\] |
| B. | \[2.6\times {{10}^{-4}}m\] |
| C. | \[1.3\times {{10}^{-5}}m\] |
| D. | \[1.3\times {{10}^{-4}}m\] |
| Answer» D. \[1.3\times {{10}^{-4}}m\] | |
| 8322. |
Two identical straight wires are stretched so as to produce 6 beats per second when vibrating simultaneously. On changing the tension in one of them, the beat frequency remains unchanged. Denoting by \[{{T}_{1}},\,{{T}_{2}}\], the higher and the lower initial tensions in the strings, then it could be said that while making the above change in tension [IIT 1991] |
| A. | \[{{T}_{2}}\] was decreased |
| B. | \[{{T}_{2}}\] was increased |
| C. | \[{{T}_{1}}\] was increased |
| D. | \[{{T}_{1}}\] was kept constant |
| Answer» C. \[{{T}_{1}}\] was increased | |
| 8323. |
Three simple harmonic motions in the same direction having the same amplitude a and same period are superposed. If each differs in phase from the next by \[{{45}^{o}}\], then [IIT JEE 1999] |
| A. | The resultant amplitude is \[(1+\sqrt{2)}a\] |
| B. | The phase of the resultant motion relative to the first is 90° |
| C. | The energy associated with the resulting motion is \[(3+2\sqrt{2)}\] times the energy associated with any single motion |
| D. | The resulting motion is not simple harmonic |
| Answer» B. The phase of the resultant motion relative to the first is 90° | |
| 8324. |
One end of a copper rod of length \[1.0\ m\] and area of cross-section \[{{10}^{-3}}\] is immersed in boiling water and the other end in ice. If the coefficient of thermal conductivity of copper is \[92\ cal/m\text{-}s{{\text{-}}^{o}}C\] and the latent heat of ice is \[8\times {{10}^{4}}cal/kg\], then the amount of ice which will melt in one minute is [MNR 1994] |
| A. | \[9.2\times {{10}^{-3}}kg\] |
| B. | \[8\times {{10}^{-3}}kg\] |
| C. | \[6.9\times {{10}^{-3}}kg\] |
| D. | \[5.4\times {{10}^{-3}}kg\] |
| Answer» D. \[5.4\times {{10}^{-3}}kg\] | |
| 8325. |
P-V diagram of a diatomic gas is a straight line passing through origin. The molar heat capacity of the gas in the process will be |
| A. | 4 R |
| B. | 2.5 R |
| C. | 3 R |
| D. | \[\frac{4R}{3}\] |
| Answer» D. \[\frac{4R}{3}\] | |
| 8326. |
In the circuit element given here, if the potential at point B, VB = 0, then the potentials of A and D are given as [AMU (Med.) 2002] |
| A. | \[{{V}_{A}}=-1.5\,V,\,{{V}_{D}}=+2\,V\] |
| B. | \[{{V}_{A}}=+1.5\,V,\,{{V}_{D}}=+2\,V\] |
| C. | \[{{V}_{A}}=+1.5\,V,\,{{V}_{D}}=+0.5\,V\] |
| D. | \[{{V}_{A}}=+1.5\,V,\,{{V}_{D}}=-0.5\,V\] |
| Answer» E. | |
| 8327. |
An elementary particle of mass \[m\] and charge \[+e\] is projected with velocity \[v\] at a much more massive particle of charge \[Ze,\] where \[Z>0.\]What is the closest possible approach of the incident particle [Orissa JEE 2002] |
| A. | \[\frac{Z{{e}^{2}}}{2\pi {{\varepsilon }_{0}}m{{v}^{2}}}\] |
| B. | \[\frac{Ze}{4\pi {{\varepsilon }_{0}}m{{v}^{2}}}\] |
| C. | \[\frac{Z{{e}^{2}}}{8\pi {{\varepsilon }_{0}}m{{v}^{2}}}\] |
| D. | \[\frac{Ze}{8\pi {{\varepsilon }_{0}}m{{v}^{2}}}\] |
| Answer» B. \[\frac{Ze}{4\pi {{\varepsilon }_{0}}m{{v}^{2}}}\] | |
| 8328. |
Two ideal slits S1 and S2 are at a distance d apart, and illuminated by light of wavelength l passing through an ideal source slit S placed on the line through S2 as shown. The distance between the planes of slits and the source slit is D. A screen is held at a distance D from the plane of the slits. The minimum value of d for which there is darkness at O is |
| A. | \[\sqrt{\frac{3\lambda D}{2}}\] |
| B. | \[\sqrt{\lambda D}\] |
| C. | \[\sqrt{\frac{\lambda D}{2}}\] |
| D. | \[\sqrt{3\lambda D}\] |
| Answer» D. \[\sqrt{3\lambda D}\] | |
| 8329. |
The refracting angle of prism is A and refractive index of material of prism is \[\cot \frac{A}{2}\]. The angle of minimum deviation is [CPMT 1992] |
| A. | 180°? 3A |
| B. | 180° + 2A |
| C. | 90° ?A |
| D. | 180° ? 2A |
| Answer» E. | |
| 8330. |
In the circuit shown in figure the maximum output voltage V0 is |
| A. | 0 V |
| B. | 5 V |
| C. | 10 V |
| D. | \[\frac{5}{\sqrt{2}}V\] |
| Answer» C. 10 V | |
| 8331. |
The binding energy per nucleon of \[{{O}^{16}}\]is 7.97 MeV and that of \[{{O}^{17}}\]is 7.75 MeV. The energy (in MeV) required to remove a neutron from \[{{O}^{17}}\]is [IIT 1995] |
| A. | 3.52 |
| B. | 3.64 |
| C. | 4.23 |
| D. | 7.86 |
| Answer» D. 7.86 | |
| 8332. |
Ka wavelength emitted by an atom of atomic number Z = 11 is l. Find the atomic number for an atom that emits Ka radiation with wavelength 4l [IIT-JEE (Screening) 2005] |
| A. | Z = 6 |
| B. | Z = 4 |
| C. | Z = 11 |
| D. | Z = 44 |
| Answer» B. Z = 4 | |
| 8333. |
A current carrying solenoid is approaching a conducting loop as shown in the figure. The direction of induced current as observed by an observer on the other side of the loop will be |
| A. | Anticlockwise |
| B. | Clockwise |
| C. | East |
| D. | West |
| Answer» C. East | |
| 8334. |
Resistance of a voltameter is \[2\,\Omega ,\] it is connected in series to a battery of 10 V through a resistance of \[3\,\Omega \]. In a certain time mass deposited on cathode is 1 gm. Now the voltameter and the \[3\,\Omega \] resistance are connected in parallel with the battery. Increase in the deposited mass on cathode in the same time will be |
| A. | 0 |
| B. | 1.5 gm |
| C. | 2.5 gm |
| D. | 2 gm |
| Answer» C. 2.5 gm | |
| 8335. |
The displacement y of a particle executing periodic motion is given by\[y=4{{\cos }^{2}}(t/2)\sin (1000t)\]. This expression may be considered to be a result of the superposition of........... independent harmonic motions [IIT 1992] |
| A. | Two |
| B. | Three |
| C. | Four |
| D. | Five |
| Answer» C. Four | |
| 8336. |
A cylindrical rod with one end in a steam chamber and the other end in ice results in melting of 0.1gm of ice per second. If the rod is replaced by another with half the length and double the radius of the first and if the thermal conductivity of material of second rod is \[\frac{1}{4}\] that of first, the rate at which ice melts in \[gm/\sec \]will be [EAMCET 1987] |
| A. | 3.2 |
| B. | 1.6 |
| C. | 0.2 |
| D. | 0.1 |
| Answer» D. 0.1 | |
| 8337. |
A Carnot engine whose low temperature reservoir is at 7°C has an efficiency of 50%. It is desired to increase the efficiency to 70%. By how many degrees should the temperature of the high temperature reservoir be increased [UPSEAT 2005] |
| A. | 840 K |
| B. | 280 K |
| C. | 560 K |
| D. | 380 K |
| Answer» E. | |
| 8338. |
Steam is passed into 22 gm of water at 20°C. The mass of water that will be present when the water acquires a temperature of 90°C (Latent heat of steam is 540 cal/gm) is [SCRA 1994] |
| A. | 24.8 gm |
| B. | 24 gm |
| C. | 36.6 gm |
| D. | 30 gm |
| Answer» B. 24 gm | |
| 8339. |
The effective resistance between points P and Q of the electrical circuit shown in the figure is [IIT-JEE (Screening) 2002] |
| A. | \[2Rr/(R+r)\] |
| B. | \[8R\,(R+r)/(3R+r)\] |
| C. | \[2r+4R\] |
| D. | \[5R/2\,\,+\,2r\] |
| Answer» B. \[8R\,(R+r)/(3R+r)\] | |
| 8340. |
Two equal point charges are fixed at \[x=-a\] and \[x=+a\] on the x-axis. Another point charge Q is placed at the origin. The Change in the electrical potential energy of Q, when it is displaced by a small distance \[x\] along the x-axis, is approximately proportional to [IIT-JEE (Screening) 2002] |
| A. | x |
| B. | \[{{x}^{2}}\] |
| C. | \[{{x}^{3}}\] |
| D. | \[1/x\] |
| Answer» C. \[{{x}^{3}}\] | |
| 8341. |
An achromatic prism is made by crown glass prism \[({{A}_{c}}={{19}^{o}})\] and flint glass prism \[({{A}_{F}}={{6}^{o}})\]. If \[^{C}{{\mu }_{v}}=1.5\] and \[^{F}{{\mu }_{v}}=1.66\], then resultant deviation for red coloured ray will be |
| A. | 1.04° |
| B. | 5° |
| C. | 0.96° |
| D. | 13.5° |
| Answer» E. | |
| 8342. |
Ge and Si diodes conduct at 0.3 V and 0.7 V respectively. In the following figure if Ge diode connection are reversed, the valve of V0 changes by [Based on Roorkee 2000] |
| A. | 0.2 V |
| B. | 0.4 V |
| C. | 0.6 V |
| D. | 0.8 V |
| Answer» C. 0.6 V | |
| 8343. |
The sun radiates energy in all directions. The average radiations received on the earth surface from the sun is \[1.4\ kilowatt/{{m}^{2}}\].The average earth- sun distance is \[1.5\times {{10}^{11}}metres\]. The mass lost by the sun per day is (1 day = 86400 seconds) [MP PMT 1993, 2003] |
| A. | \[4.4\times {{10}^{9}}kg\] |
| B. | \[7.6\times {{10}^{14}}kg\] |
| C. | \[3.8\times {{10}^{12}}kg\] |
| D. | \[3.8\times {{10}^{14}}kg\] |
| Answer» E. | |
| 8344. |
The ratio of de-Broglie wavelength of a a-particle to that of a proton being subjected to the same magnetic field so that the radii of their path are equal to each other assuming the field induction vector \[\overrightarrow{B}\] is perpendicular to the velocity vectors of the a-particle and the proton is |
| A. | 1 |
| B. | \[\frac{1}{4}\] |
| C. | \[\frac{1}{2}\] |
| D. | 2 |
| Answer» D. 2 | |
| 8345. |
A current carrying loop is placed in a uniform magnetic field in four different orientations, I,II, III & IV arrange them in the decreasing order of potential Energy [IIT-JEE (Screening) 2003] I. II. III. IV. |
| A. | I > III > II > IV |
| B. | I > II >III > IV |
| C. | I > IV > II > III |
| D. | III > IV > I > II |
| Answer» D. III > IV > I > II | |
| 8346. |
In the following figure, the magnet is moved towards the coil with a speed v and induced emf is e. If magnet and coil recede away from one another each moving with speed v, the induced emf in the coil will be |
| A. | e |
| B. | 2e |
| C. | e/2 |
| D. | 4e |
| Answer» C. e/2 | |
| 8347. |
Peltier co-efficient of a thermo couple is 2 nano volts. How much heat is developed at a junction if 2.5 amp current flows for 2 minute |
| A. | 6 ergs |
| B. | \[6\times {{10}^{-7}}\,ergs\] |
| C. | 16 ergs |
| D. | \[6\times {{10}^{-3}}\,\,erg\] |
| Answer» B. \[6\times {{10}^{-7}}\,ergs\] | |
| 8348. |
Four identical rods of same material are joined end to end to form a square. If the temperature difference between the ends of a diagonal is \[{{100}^{o}}C\], then the temperature difference between the ends of other diagonal will be [MP PET 1989; RPMT 2002] |
| A. | \[{{0}^{o}}C\] |
| B. | \[\frac{100}{l}{{\ }^{o}}C\]; where l is the length of each rod |
| C. | \[\frac{100}{2l}{{\ }^{o}}C\] |
| D. | \[{{100}^{o}}C\] |
| Answer» B. \[\frac{100}{l}{{\ }^{o}}C\]; where l is the length of each rod | |
| 8349. |
An ideal gas expands in such a manner that its pressure and volume can be related by equation \[P{{V}^{2}}=\] constant. During this process, the gas is [UPSEAT 2002] |
| A. | Heated |
| B. | Cooled |
| C. | Neither heated nor cooled |
| D. | First heated and then cooled |
| Answer» C. Neither heated nor cooled | |
| 8350. |
A rod of length 20 cm is made of metal. It expands by 0.075cm when its temperature is raised from 0°C to 100°C. Another rod of a different metal B having the same length expands by 0.045 cm for the same change in temperature. A third rod of the same length is composed of two parts, one of metal A and the other of metal B. This rod expands by 0.060 cm for the same change in temperature. The portion made of metal A has the length [CPMT 1991] |
| A. | 20 cm |
| B. | 10 cm |
| C. | 15 cm |
| D. | 18 cm |
| Answer» C. 15 cm | |