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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.
| 6451. |
The kinetic energy needed to project a body of mass m from the earth surface (radius R) to infinity is [AIEEE 2002] |
| A. | mgR/2 |
| B. | 2 mgR |
| C. | mgR |
| D. | mgR/4 |
| Answer» D. mgR/4 | |
| 6452. |
Energy required to move a body of mass m from an orbit of radius 2R to 3R is [AIEEE 2002] |
| A. | \[GMm/12{{R}^{2}}\] |
| B. | \[GMm/3{{R}^{2}}\] |
| C. | \[GMm/8R\] |
| D. | \[GMm/6R\] |
| Answer» E. | |
| 6453. |
A body of mass m kg. starts falling from a point 2R above the Earth?s surface. Its kinetic energy when it has fallen to a point ?R? above the Earth?s surface [R-Radius of Earth, M-Mass of Earth, G-Gravitational Constant] [MP PMT 2002] |
| A. | \[\frac{1}{2}\frac{GMm}{R}\] |
| B. | \[\frac{1}{6}\frac{GMm}{R}\] |
| C. | \[\frac{2}{3}\frac{GMm}{R}\] |
| D. | \[\frac{1}{3}\frac{GMm}{R}\] |
| Answer» C. \[\frac{2}{3}\frac{GMm}{R}\] | |
| 6454. |
Escape velocity of a body of 1 kg mass on a planet is 100 m/sec. Gravitational Potential energy of the body at the Planet is [MP PMT 2002] |
| A. | ? 5000 J |
| B. | ? 1000 J |
| C. | ? 2400 J |
| D. | 5000 J |
| Answer» B. ? 1000 J | |
| 6455. |
The gravitational potential energy of a body of mass ?m? at the earth?s surface \[-mg{{R}_{e}}\]. Its gravitational potential energy at a height \[{{R}_{e}}\] from the earth?s surface will be (Here \[{{R}_{e}}\] is the radius of the earth) [AIIMS 2000; MP PET 2000; Pb. PMT 2004] |
| A. | \[-2\,mg{{R}_{e}}\] |
| B. | \[2\,mg{{R}_{e}}\] |
| C. | \[\frac{1}{2}mg{{R}_{e}}\] |
| D. | \[-\frac{1}{2}mg{{R}_{e}}\] |
| Answer» E. | |
| 6456. |
What is the intensity of gravitational field of the centre of a spherical shell [RPET 2000] |
| A. | \[Gm/{{r}^{2}}\] |
| B. | g |
| C. | Zero |
| D. | None of these |
| Answer» D. None of these | |
| 6457. |
A body of mass m rises to height h = R/5 from the earth's surface, where R is earth's radius. If g is acceleration due to gravity at earth's surface, the increase in potential energy is [CPMT 1989; SCRA 1996; DPMT 2001] |
| A. | mgh |
| B. | \[\frac{4}{5}mgh\] |
| C. | \[\frac{5}{6}mgh\] |
| D. | \[\frac{6}{7}mgh\] |
| Answer» D. \[\frac{6}{7}mgh\] | |
| 6458. |
The adjacent graph shows the extension \[(\Delta l)\] of a wire of length 1m suspended from the top of a roof at one end with a load W connected to the other end. If the cross sectional area of the wire is \[{{10}^{-6}}{{m}^{2}},\] calculate the young?s modulus of the material of the wire [IIT-JEE (Screening) 2003] |
| A. | \[2\times {{10}^{11\,}}N/{{m}^{2}}\] |
| B. | \[2\times {{10}^{-11}}N/{{m}^{2}}\] |
| C. | \[3\times {{10}^{-12}}N/{{m}^{2}}\] |
| D. | \[2\times {{10}^{-13}}N/{{m}^{2}}\] |
| Answer» B. \[2\times {{10}^{-11}}N/{{m}^{2}}\] | |
| 6459. |
A particle of mass 0.1 kg is subjected to a force which varies with distance as shown in fig. If it starts its journey from rest at \[x=0\], its velocity at \[x=12\,m\] is [AIIMS 1995] |
| A. | 0 m/s |
| B. | \[20\sqrt{2}\,m/s\] |
| C. | \[20\sqrt{3}\,m/s\] |
| D. | \[40\,\,m/s\] |
| Answer» E. | |
| 6460. |
A body of mass 3kg is acted on by a force which varies as shown in the graph below. The momentum acquired is given by |
| A. | Zero |
| B. | 5 N-s |
| C. | 30 N-s |
| D. | 50 N-s |
| Answer» E. | |
| 6461. |
The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in 6 sec are respectively [MP PET 1994] |
| A. | 8 m, 16 m |
| B. | 16 m, 8 m |
| C. | 16 m, 16 m |
| D. | 8 m, 8 m |
| Answer» B. 16 m, 8 m | |
| 6462. |
Binding energy per nucleon verses mass number curve for nuclei is shown in the figure. W, X, Y and Z are four nuclei indicated on the curve. The process that would release energy is [IIT-JEE 1999] |
| A. | \[Y\to 2Z\] |
| B. | \[W\to X+Z\] |
| C. | \[W\to 2Y\] |
| D. | \[X\to Y+Z\] |
| Answer» D. \[X\to Y+Z\] | |
| 6463. |
The intensity of X-rays from a Coolidge tube is plotted against wavelength as shown in the figure. The minimum wavelength found is \[{{\lambda }_{c}}\] and the wavelength of the \[{{K}_{\alpha }}\]line is \[{{\lambda }_{k}}\]. As the accelerating voltage is increased [IIT-JEE (Screening) 2001] |
| A. | \[({{\lambda }_{K}}-{{\lambda }_{C}})\]increases |
| B. | \[({{\lambda }_{K}}-{{\lambda }_{C}})\,\]decreases |
| C. | \[{{\lambda }_{K}}\] increases |
| D. | \[{{\lambda }_{K}}\] decreases |
| Answer» B. \[({{\lambda }_{K}}-{{\lambda }_{C}})\,\]decreases | |
| 6464. |
A rectangular loop is being pulled at a constant speed v, through a region of certain thickness d, in which a uniform magnetic field B is set up. The graph between position x of the right hand edge of the loop and the induced emf E will be |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» C. | |
| 6465. |
Some equipotential surfaces of the magnetic scalar potential are shown in the figure. Magnetic field at a point in the region is |
| A. | \[{{10}^{-4}}T\] |
| B. | \[2\times {{10}^{-4}}T\] |
| C. | \[0.5\times {{10}^{-4}}T\] |
| D. | None of these |
| Answer» C. \[0.5\times {{10}^{-4}}T\] | |
| 6466. |
Four curves A, B, C and D are drawn in the adjoining figure for a given amount of gas. The curves which represent adiabatic and isothermal changes are [CPMT 1986; UPSEAT 1999] |
| A. | C and D respectively |
| B. | D and C respectively |
| C. | A and B respectively |
| D. | B and A respectively |
| Answer» D. B and A respectively | |
| 6467. |
Which of the curves in figure represents the relation between Celsius and Fahrenheit temperatures |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» B. 2 | |
| 6468. |
Variation of current and voltage in a conductor has been shown in the diagram below. The resistance of the conductor is. |
| A. | 4 ohm |
| B. | 2 ohm |
| C. | 3 ohm |
| D. | 1 ohm |
| Answer» E. | |
| 6469. |
The load versus elongation graph for four wires of the same material is shown in the figure. The thickest wire is represented by the line [KCET 2001] |
| A. | OD |
| B. | OC |
| C. | OB |
| D. | OA |
| Answer» B. OC | |
| 6470. |
Figure A shows two capacitors connected in series and joined to a battery. The graph in figure B shows the variation in potential as one moves from left to right on the branch containing the capacitors, if [MP PMT 1999] |
| A. | \[{{C}_{1}}>{{C}_{2}}\] |
| B. | \[{{C}_{1}}={{C}_{2}}\] |
| C. | \[{{C}_{1}}<{{C}_{2}}\] |
| D. | The information is not sufficient to decide the relation between \[{{C}_{1}}\]and \[{{C}_{2}}\] |
| Answer» D. The information is not sufficient to decide the relation between \[{{C}_{1}}\]and \[{{C}_{2}}\] | |
| 6471. |
The curves for potential energy (U) and kinetic energy \[({{E}_{k}})\] of a two particle system are shown in figure. At what points the system will be bound? |
| A. | Only at point D |
| B. | Only at point A |
| C. | At point D and A |
| D. | At points A, B and C |
| Answer» E. | |
| 6472. |
A particle of mass m, initially at rest, is acted upon by a variable force F for a brief interval of time T. It begins to move with a velocity u after the force stops acting. F is shown in the graph as a function of time. The curve is a semicircle. |
| A. | \[u=\frac{\pi F_{0}^{2}}{2m}\] |
| B. | \[u=\frac{\pi {{T}^{2}}}{8m}\] |
| C. | \[u=\frac{\pi {{F}_{0}}T}{4m}\] |
| D. | \[u=\frac{{{F}_{0}}T}{2m}\] |
| Answer» D. \[u=\frac{{{F}_{0}}T}{2m}\] | |
| 6473. |
A lift is going up. The variation in the speed of the lift is as given in the graph. What is the height to which the lift takes the passengers [IIT 1970] |
| A. | 3.6 \[m\] |
| B. | 28.8 \[m\] |
| C. | 36.0 \[m\] |
| D. | Cannot be calculated from the above graph |
| Answer» D. Cannot be calculated from the above graph | |
| 6474. |
The fraction f of radioactive material that has decayed in time t, varies with time t. The correct variation is given by the curve |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» C. C | |
| 6475. |
The stopping potential as a function of the frequency of the incident radiation is plotted for two different photoelectric surfaces A and B. The graphs show that work function of A is [DPMT 1992] |
| A. | Greater than that of B |
| B. | Smaller than that of B |
| C. | Equal to that of B |
| D. | No inference can be drawn about their work functions from the given graphs |
| Answer» C. Equal to that of B | |
| 6476. |
The output current versus time curve of a rectifier is shown in the figure. The average value of output current in this case is [AIIMS 1982] |
| A. | 0 |
| B. | \[\frac{{{I}_{0}}}{2}\] |
| C. | \[\frac{2{{I}_{0}}}{\pi }\] |
| D. | \[{{I}_{0}}\] |
| Answer» D. \[{{I}_{0}}\] | |
| 6477. |
Figure (i) shows a conducting loop being pulled out of a magnetic field with a speed v. Which of the four plots shown in figure (ii) may represent the power delivered by the pulling agent as a function of the speed v |
| A. | a |
| B. | b |
| C. | c |
| D. | d |
| Answer» C. c | |
| 6478. |
Which curve may best represent the current deflection in a tangent galvanometer |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» C. C | |
| 6479. |
A particle of charge q and mass m is moving along the \[x\]-axis with a velocity v and enters a region of electric field E and magnetic field B as shown in figure below for which figure the net force on the charge may be zero |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» C. | |
| 6480. |
In a copper voltameter, mass deposited in 6 minutes is m gram. If the current-time graph for the voltameter is as shown here, then the E.C.E of the copper is |
| A. | m / 5 |
| B. | m / 300 |
| C. | 5 m |
| D. | m / 18000 |
| Answer» C. 5 m | |
| 6481. |
The spectrum of a black body at two temperatures 27oC and 327oC is shown in the figure. Let A1 and A2 be the areas under the two curves respectively. The value of \[\frac{{{A}_{2}}}{{{A}_{1}}}\] is |
| A. | 1 : 16 |
| B. | 4 : 1 |
| C. | 2 : 1 |
| D. | 16 : 1 |
| Answer» E. | |
| 6482. |
P-V plots for two gases during adiabatic process are shown in the figure. Plots 1 and 2 should correspond respectively to [IIT-JEE (Screening) 2001] |
| A. | He and \[{{O}_{2}}\] |
| B. | \[{{O}_{2}}\] and He |
| C. | He and Ar |
| D. | \[{{O}_{2}}\] and \[{{N}_{2}}\] |
| Answer» C. He and Ar | |
| 6483. |
If a graph is plotted taking the temperature in Fahrenheit along Y-axis and the corresponding temperature in Celsius along the X-axis, it will be a straight line [AIIMS 1997] |
| A. | Having a +ve intercept on Y-axis |
| B. | Having a +ve intercept on X-axis |
| C. | Passing through the origin |
| D. | Having a ? ve intercepts on both the axis |
| Answer» B. Having a +ve intercept on X-axis | |
| 6484. |
The resistance\[{{R}_{t}}\] of a conductor varies with temperature t as shown in the figure. If the variation is represented by \[{{R}_{t}}={{R}_{0}}[1+\alpha t+\beta {{t}^{2}}]\], then [CPMT 1988] |
| A. | \[\alpha \] and \[\beta \] are both negative |
| B. | \[\alpha \] and \[\beta \] are both positive |
| C. | \[\alpha \] is positive and \[\beta \] is negative |
| D. | \[\alpha \] is negative and \[\beta \] are positive |
| Answer» C. \[\alpha \] is positive and \[\beta \] is negative | |
| 6485. |
The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If \[{{Y}_{A}}\] and \[{{Y}_{B}}\] are the Young ?s modulii of the materials, then [Kerala (Engg.) 2001] |
| A. | \[{{Y}_{B}}=2{{Y}_{A}}\] |
| B. | \[{{Y}_{A}}={{Y}_{B}}\] |
| C. | \[{{Y}_{B}}=3{{Y}_{A}}\] |
| D. | \[{{Y}_{A}}=3{{Y}_{B}}\] |
| Answer» E. | |
| 6486. |
A toy car of mass 5 kg moves up a ramp under the influence of force F plotted against displacement x. The maximum height attained is given by |
| A. | \[{{y}_{\max }}=20m\] |
| B. | \[{{y}_{\max }}=15m\] |
| C. | \[{{y}_{\max }}=11m\] |
| D. | \[{{y}_{\max }}=5m\] |
| Answer» D. \[{{y}_{\max }}=5m\] | |
| 6487. |
The \[x-t\] graph shown in figure represents [CPMT 1984] |
| A. | Constant velocity |
| B. | Velocity of the body is continuously changing |
| C. | Instantaneous velocity |
| D. | The body travels with constant speed upto time \[{{t}_{1}}\] and then stops |
| Answer» E. | |
| 6488. |
A particle of mass m moving with velocity u makes an elastic one dimensional collision with a stationary particle of mass m. They are in contact for a very short time T. Their force of interaction increases from zero to F0 linearly in time T/2, and decreases linearly to zero in further time T/2. The magnitude of F0 is |
| A. | \[mu/T\] |
| B. | \[2mu/T\] |
| C. | \[mu/2T\] |
| D. | None of these |
| Answer» C. \[mu/2T\] | |
| 6489. |
The output in the circuit of figure is taken across a capacitor. It is as shown in figure |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» D. | |
| 6490. |
In an experiment on photoelectric effect the frequency f of the incident light is plotted against the stopping potential \[{{V}_{0}}\]. The work function of the photoelectric surface is given by (e is electronic charge) [CPMT 1987] |
| A. | OB \[\times \]e in eV |
| B. | OB in volt |
| C. | OA in eV |
| D. | The slope of the line AB |
| Answer» B. OB in volt | |
| 6491. |
The graph gives the magnitude B(t) of a uniform magnetic field that exists throughout a conducting loop, perpendicular to the plane of the loop. Rank the five regions of the graph according to the magnitude of the emf induced in the loop, greatest first |
| A. | b > (d = e) < (a = c) |
| B. | b > (d = e) > (a = c) |
| C. | b < d < e < c < a |
| D. | b > (a = c) > (d = e) |
| Answer» C. b < d < e < c < a | |
| 6492. |
The basic magnetization curve for a ferromagnetic material is shown in figure. Then, the value of relative permeability is highest for the point |
| A. | P |
| B. | Q |
| C. | R |
| D. | S |
| Answer» C. R | |
| 6493. |
The correct curve between the magnetic induction along the axis of a long solenoid due to current flow i in it and distance x from one end is |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» B. | |
| 6494. |
A constant current i is passed through a resistor. Taking the temperature coefficient of resistance into account, indicate which of the plots shown in figure best represents the rate of production of thermal energy in the resistor |
| A. | a |
| B. | b |
| C. | c |
| D. | d |
| Answer» E. | |
| 6495. |
The velocity-time diagram of a harmonic oscillator is shown in the adjoining figure. The frequency of oscillation is [CPMT 1989] |
| A. | 25 Hz |
| B. | 50 Hz |
| C. | 12.25 Hz |
| D. | 33.3 Hz |
| Answer» B. 50 Hz | |
| 6496. |
A thermodynamic process is shown in the 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 \[{{V}_{A}}=2\times {{10}^{-3}}{{m}^{3}},\ {{V}_{D}}=5\times {{10}^{-3}}{{m}^{3}}\] 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 [CBSE PMT 1992] |
| A. | 560 J |
| B. | 800 J |
| C. | 600 J |
| D. | 640 J |
| Answer» B. 800 J | |
| 6497. |
The variation of density of water with temperature is represented by the |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» B. | |
| 6498. |
The two ends of a uniform conductor are joined to a cell of e.m.f. E and some internal resistance. Starting from the midpoint P of the conductor, we move in the direction of current and return to P. The potential V at every point on the path is plotted against the distance covered (x). Which of the following graphs best represents the resulting curve |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» C. | |
| 6499. |
What physical quantities may \[X\] and \[Y\] represent? (\[Y\] represents the first mentioned quantity) [NCERT 1978; MP PMT 2003] |
| A. | Pressure v/s temperature of a given gas (constant volume) |
| B. | Kinetic energy v/s velocity of a particle |
| C. | Capacitance v/s charge to give a constant potential |
| D. | Potential v/s capacitance to give a constant charge |
| Answer» E. | |
| 6500. |
The diagram shows a force-extension graph for a rubber band. Consider the following statements[AMU 2001] It will be easier to compress this rubber than expand it Rubber does not return to its original length after it is stretched The rubber band will get heated if it is stretched and released Which of these can be deduced from the graph |
| A. | III only |
| B. | II and III |
| C. | I and III |
| D. | I only |
| Answer» B. II and III | |