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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.
| 501. |
A glass slab of width 't', refractive index \['\mu '\] is placed as shown in the figure. If the point object, moves with a speed 2 cm/sec towards the slab the observed speed by the observer will be : |
| A. | 2 cm/sec |
| B. | less than 2 cm/sec |
| C. | greater than 2 cm/sec |
| D. | \[(2/\mu )\] cm/sec |
| Answer» B. less than 2 cm/sec | |
| 502. |
Between the plates of a parallel plate condenser there is \[1mm\] thick paper of dielectric constant 4. It is charged at \[100\ volt\]. The electric field in \[volt/metre\]between the plates of the capacitor is [MP PMT 1994] |
| A. | 100 |
| B. | 100000 |
| C. | 25000 |
| D. | 4000000 |
| Answer» C. 25000 | |
| 503. |
In the motion of a projectile freely under gravity, its |
| A. | Total energy is conserved |
| B. | Momentum is conserved |
| C. | Energy and momentum both are conserved |
| D. | None is conserved |
| Answer» B. Momentum is conserved | |
| 504. |
If the initial velocity of a projectile be doubled, keeping the angle of projection same, the maximum height reached by it will |
| A. | Remain the same |
| B. | Be doubled |
| C. | Be quadrupled |
| D. | Be halved |
| Answer» D. Be halved | |
| 505. |
The range of a projectile for a given initial velocity is maximum when the angle of projection is \[{{45}^{o}}\]. The range will be minimum, if the angle of projection is |
| A. | \[{{90}^{o}}\] |
| B. | \[{{180}^{o}}\] |
| C. | \[{{60}^{o}}\] |
| D. | \[{{75}^{o}}\] |
| Answer» B. \[{{180}^{o}}\] | |
| 506. |
The temperature coefficient of resistance of a conductor is [AFMC 1998] |
| A. | Positive always |
| B. | Negative always |
| C. | Zero |
| D. | Infinite |
| Answer» B. Negative always | |
| 507. |
For continuous X-rays produced wavelength is |
| A. | Inversely proportional to the energy of the electrons hitting the target |
| B. | Inversely proportional to the intensity of the electron beam |
| C. | Proportional to intensity of the electron beam |
| D. | Proportional to target temperature |
| Answer» B. Inversely proportional to the intensity of the electron beam | |
| 508. |
An open pipe is in resonance in 2nd harmonic with frequency \[{{f}_{1}}\] Now one end of the tube is closed and frequency is increased to \[{{f}_{2}}\] such that the resonance again occurs in nth harmonic. Choose the correct option |
| A. | \[n=3,\,{{f}_{2}}=\frac{3}{4}{{f}_{1}}\] |
| B. | \[n=3,\,{{f}_{2}}=\frac{5}{4}{{f}_{1}}\] |
| C. | \[n=5,\,{{f}_{2}}=\frac{3}{4}{{f}_{1}}\] |
| D. | \[n=5,\,{{f}_{2}}=\frac{5}{4}{{f}_{1}}\] |
| Answer» E. | |
| 509. |
A capacitor is charged to 200 volt it has 0.1 coulomb charge. When it is discharged, energy will be [MP PET 2003] |
| A. | 1 J |
| B. | 4 J |
| C. | 10 J |
| D. | 20 J |
| Answer» D. 20 J | |
| 510. |
Assertion : When an automobile while going too fast around a curve overturns, its inner wheels leave the ground first. Reason : For a safe turn the velocity of automobile should be less than the value of safe limit velocity. |
| 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. | |
| 511. |
A scuba diver in an empty swimming pool uses a magnifier (n = 1.25) to enlarge the print on a plastic instruction sheet. If the pool is filled with water (n = 1.33), what happens to the magnification of the print? |
| A. | It increases and is greater than one. |
| B. | It stays the same. |
| C. | It decreases, but is still greater than one. |
| D. | It decreases and is less than one |
| Answer» E. | |
| 512. |
Read the assertion and reason carefully to mark the correct option out of the options given below: Assertion : Smaller the orbit of the planet around the sun, shorter is the time it takes to complete one revolution. Reason : According to Kepler?s third law of planetary motion, square of time period is proportional to cube of mean distance from sun. |
| 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. | |
| 513. |
Frequency of oscillation is proportional to |
| A. | \[\sqrt{\frac{3k}{m}}\] |
| B. | \[\sqrt{\frac{k}{m}}\] |
| C. | \[\sqrt{\frac{2k}{m}}\] |
| D. | \[\sqrt{\frac{m}{3k}}\] |
| Answer» B. \[\sqrt{\frac{k}{m}}\] | |
| 514. |
Two beams, A and B, of plane polarized light with mutually perpendicular planes of polarization are seen through a polaroid. From the position when the beam A has maximum intensity (and beam B has zero intensity), a rotation of polaroid through \[30{}^\circ \] makes the two beams appear equally bright. If the initial intensities of the two beams are\[{{I}_{A}}\]and \[{{I}_{B}}\] respectively, then\[\frac{{{I}_{A}}}{{{I}_{B}}}\]equals |
| A. | 3 |
| B. | \[\frac{3}{2}\] |
| C. | 1 |
| D. | \[\frac{1}{3}\] |
| Answer» E. | |
| 515. |
When a capillary is dipped in water, water rises 0.015 m in it. If the surface tension of water is\[75\times {{10}^{3}}N/m\], the radius of capillary is [RPMT 2003] |
| A. | 0.1 mm |
| B. | 0.5 mm |
| C. | 1 mm |
| D. | 2 mm |
| Answer» D. 2 mm | |
| 516. |
In Fresnel's biprism \[(\mu =1.5)\] experiment the distance between source and biprism is 0.3 m and that between biprism and screen is 0.7m and angle of prism is \[1{}^\circ \]. The fringe width with light of wavelength\[6000\,\,{AA}\]will be [RPMT 2002] |
| A. | 3 cm |
| B. | 0.011 cm |
| C. | 2 cm |
| D. | 4 cm |
| Answer» C. 2 cm | |
| 517. |
In Fresnel?s biprism experiment, on increasing the prism angle, fringe width will [RPMT 2003] |
| A. | Increase |
| B. | Decrease |
| C. | Remain unchanged |
| D. | Depend on the position of object |
| Answer» C. Remain unchanged | |
| 518. |
In Young double slit experiment, when two light waves form third minimum, they have [RPMT 2003] |
| A. | Phase difference of \[3\pi \] |
| B. | Phase difference of \[\frac{5\pi }{2}\] |
| C. | Path difference of \[3\lambda \] |
| D. | Path difference of \[\frac{5\lambda }{2}\] |
| Answer» E. | |
| 519. |
A constant power P is applied to a car starting from rest. If v is the velocity of the car at time t, then |
| A. | \[v\propto t\] |
| B. | \[v\propto \frac{1}{t}\] |
| C. | \[v\propto \sqrt{t}\] |
| D. | \[v\propto \frac{1}{\sqrt{t}}\] |
| Answer» B. \[v\propto \frac{1}{t}\] | |
| 520. |
A device which converts electrical energy into mechanical energy is [KCET 2001] |
| A. | Dynamo |
| B. | generator |
| C. | Electric motor |
| D. | Induction coil |
| Answer» D. Induction coil | |
| 521. |
When a current of 1 ampere is passed through a conductor whose ends are maintained at temperature difference of \[1{}^\circ C\], the amount of heat evolved or absorbed is called |
| A. | Peltier coefficient |
| B. | Thomson coefficient |
| C. | Thermoelectic power |
| D. | Thermo e.m.f. |
| Answer» C. Thermoelectic power | |
| 522. |
Longitudinal stress of \[1\,kg/m{{m}^{2}}\] is applied on a wire. The percentage increase in length is \[(Y={{10}^{11}}\,N/{{m}^{2}})\] |
| A. | 0.002 |
| B. | 0.001 |
| C. | 0.003 |
| D. | 0.01 |
| Answer» C. 0.003 | |
| 523. |
Assertion : When a tiny circular obstacle is placed in the path of light from some distance, a bright spot is seen at the centre of shadow of the obstacle. Reason : Destructive interference occurs at the centre of the shadow. [AIIMS 2002] |
| 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. | |
| 524. |
Assertion : Microwave communication is preferred over optical communication. Reason : Microwaves provide large number of channels and band width compared to optical signals. [AIIMS 2003] |
| 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. | |
| 525. |
Assertion : Thin films such as soap bubble or a thin layer of oil on water show beautiful colours when illuminated by white light. Reason : It happens due to the interference of light reflected from the upper surface of the thin film. [AIIMS 2002] |
| 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. | |
| 526. |
The Young's modulus of a wire of length L and radius r is Y N/m2. If the length and radius are reduced to L/2 and r/2, then its Young's modulus will be [MP PMT 1985; MP PET 1997; KCET 1999] |
| A. | Y/2 |
| B. | Y |
| C. | 2Y |
| D. | 4Y |
| Answer» C. 2Y | |
| 527. |
In two separate set - ups of the Young's double slit experiment, fringes of equal width are observed when lights of wavelengths in the ratio 1 : 2 are used. If the ratio of the slit separation in the two cases is 2 : 1, the ratio of the distances between the plane of the slits and the screen in the two set - ups is [KCET 1996] |
| A. | 4 : 1 |
| B. | 1 : 1 |
| C. | 1 : 4 |
| D. | 2 : 1 |
| Answer» B. 1 : 1 | |
| 528. |
In Young's double slit experiment, if the widths of the slits are in the ratio 4 : 9, the ratio of the intensity at maxima to the intensity at minima will be [Manipal MEE 1995] |
| A. | 169 : 25 |
| B. | 81 : 16 |
| C. | 25 : 1 |
| D. | 9 : 4 |
| Answer» D. 9 : 4 | |
| 529. |
A current of 0.1 A circulates around a coil of 100 turns and having a radius equal to 5 cm. The magnetic field set up at the centre of the coil is \[({{\mu }_{0}}=4\pi \times {{10}^{-7}}\,weber/ampere-metre)\] [MP PMT 1993] |
| A. | \[4\pi \times {{10}^{-5}}\,tesla\] |
| B. | \[8\pi \times {{10}^{-5}}\,tesla\] |
| C. | \[4\times {{10}^{-5}}\,tesla\] |
| D. | \[2\times {{10}^{-5}}\,tesla\] |
| Answer» B. \[8\pi \times {{10}^{-5}}\,tesla\] | |
| 530. |
A wheel completes 2000 revolutions to cover the 9.5 km. distance. then the diameter of the wheel is [RPMT 1999] |
| A. | 1.5 m |
| B. | 1.5 cm |
| C. | 7.5 cm |
| D. | 7.5 m |
| Answer» B. 1.5 cm | |
| 531. |
An ideal gas is subjected to cyclic process involving four thermodynamic states, the amounts of heat (Q) and work (W) involved in each of these states \[{{Q}_{1}}=6000J;{{Q}_{2}}=-5500J;{{Q}_{3}}=-3000J\] \[{{Q}_{4}}=+\,3500J\] \[{{W}_{1}}=2500J;{{W}_{2}}=-1000J;{{W}_{3}}=-1200J\] \[{{W}_{4}}=xJ\] The ratio of the net work done by the gas to the total heat absorbed by the gas is \[\eta \]. The values of x and n respectively are |
| A. | 500; 7.5% |
| B. | 700; 10.5% |
| C. | 1000; 21% |
| D. | 1500; 15% |
| Answer» C. 1000; 21% | |
| 532. |
In a fission reaction \[_{92}^{236}U{{\to }^{117}}X{{+}^{117}}Y+n+n\], the binding energy per nucleon of X and Y is 8.5 MeV whereas of \[^{236}U\]is 7.6 MeV. The total energy liberated will be about |
| A. | 200 KeV |
| B. | 2 MeV |
| C. | 200 MeV |
| D. | 2000 MeV |
| Answer» D. 2000 MeV | |
| 533. |
Nucleus of an atom whose atomic mass is 24 consists of |
| A. | 11 electrons, 11 protons and 13 neutrons |
| B. | 11 electrons, 13 protons and 11 neutrons |
| C. | 11 protons and 13 neutrons |
| D. | 11 protons and 13 electrons |
| Answer» D. 11 protons and 13 electrons | |
| 534. |
Which of the following isotopes is normally fissionable? |
| A. | \[_{92}{{U}^{238}}\] |
| B. | \[_{93}N{{p}^{239}}\] |
| C. | \[\frac{9}{5}\] |
| D. | \[\frac{{{n}^{2}}}{Z}\] |
| Answer» D. \[\frac{{{n}^{2}}}{Z}\] | |
| 535. |
A radioactive material of half-life ln2 was produced in a nuclear reactor. Consider two different instants A and B. The number of undecayed nuclei at instant B was twice of that of instant A. If the activities at instants A and B are \[{{A}_{1}}\] and \[{{A}_{2}}\] respectively then the difference in the age of the sample at these instants equals. |
| A. | \[\left| \ell n\left( \frac{2{{A}_{1}}}{{{A}_{2}}} \right) \right|\] |
| B. | \[\ell n2\left| \ell n\left( \frac{{{A}_{1}}}{{{A}_{2}}} \right) \right|\] |
| C. | \[\left| \ell n\left( \frac{{{A}_{1}}}{2{{A}_{2}}} \right) \right|\] |
| D. | \[\ell n2\left| \ell n\left( \frac{{{A}_{1}}}{{{A}_{2}}} \right) \right|\] |
| Answer» D. \[\ell n2\left| \ell n\left( \frac{{{A}_{1}}}{{{A}_{2}}} \right) \right|\] | |
| 536. |
Sound waves in air are [RPET 2000; AFMC 2001] |
| A. | Transverse |
| B. | Longitudinal |
| C. | De-Broglie waves |
| D. | All the above |
| Answer» C. De-Broglie waves | |
| 537. |
What is the phase difference between two successive crests in the wave [RPMT 2001, 02; MH CET 2004] |
| A. | p |
| B. | p/2 |
| C. | 2p |
| D. | 4p |
| Answer» D. 4p | |
| 538. |
Two spherical vessels of equal volume are connected by a narrow tube. The apparatus contains an ideal gas at 1 atm and 300 K. Now, if one vessel is immersed in a bath of constant temperature 600K and other in a bath of constant temperature 300K, then common pressure will be |
| A. | 1 atm |
| B. | 4/5 atm |
| C. | 4/3 atm |
| D. | 3/2 atm |
| Answer» D. 3/2 atm | |
| 539. |
A wave can transmit ...... from one place to another [CPMT 1984] |
| A. | Energy |
| B. | Amplitude |
| C. | Wavelength |
| D. | Matter |
| Answer» B. Amplitude | |
| 540. |
The ratio of intensities of two waves is 9 : 1. They are producing interference. The ratio of maximum and minimum intensities will be [MNR 1987 MP PET 1999; AMU (Engg.) 1999; AIIMS 2000] |
| A. | 10 : 8 |
| B. | 9 : 1 |
| C. | 4 : 1 |
| D. | 2 : 1 |
| Answer» D. 2 : 1 | |
| 541. |
The similarity between the sound waves and light waves is [KCET 1994] |
| A. | Both are electromagnetic waves |
| B. | Both are longitudinal waves |
| C. | Both have the same speed in a medium |
| D. | They can produce interference |
| Answer» E. | |
| 542. |
Assertion : Short wave bands are used for transmission of ratio waves to a large distance Reason : Short waves are reflected by ionosphere [AIIMS 1994] |
| 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. | |
| 543. |
Assertion : Environmental damage has increased the amount of ozone in the atmosphere. Reason : Increase of ozone increases the amount of ultraviolet radiation on earth. [AIIMS 1996] |
| 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. | |
| 544. |
Assertion : Ultraviolet radiation are of higher frequency waves are dangerous to human being. Reason : Ultraviolet radiation are absorbed by the atmosphere [AIIMS 1995] |
| 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. | |
| 545. |
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 \[\frac{{{l}_{1}}}{({{l}_{1}}+{{l}_{2}})}\] [IIT-JEE (Screening) 2003] |
| 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. \[\frac{{{\alpha }_{a}}}{({{\alpha }_{a}}+{{\alpha }_{s}})}\] | |
| 546. |
Two boys are standing at the ends A and B of a ground where \[AB=a\]. The boy at B starts running in a direction perpendicular to AB with velocity \[{{v}_{1}}.\] The boy at A starts running simultaneously with velocity \[v\] and catches the other boy in a time t, where t is [CBSE PMT 2005] |
| A. | \[a/\sqrt{{{v}^{2}}+v_{1}^{2}}\] |
| B. | \[\sqrt{{{a}^{2}}/({{v}^{2}}-v_{1}^{2})}\] |
| C. | \[a/(v-{{v}_{1}})\] |
| D. | \[a/(v+{{v}_{1}})\] |
| Answer» C. \[a/(v-{{v}_{1}})\] | |
| 547. |
A 5 metre long wire is fixed to the ceiling. A weight of 10 kg is hung at the lower end and is 1 metre above the floor. The wire was elongated by 1 mm. The energy stored in the wire due to stretching is [MP PET 1989] |
| A. | Zero |
| B. | 0.05 joule |
| C. | 100 joule |
| D. | 500 joule |
| Answer» C. 100 joule | |
| 548. |
Which is correct relation [RPET 2001] |
| A. | \[Y<\sigma \] |
| B. | \[Y>\sigma \] |
| C. | \[Y=\sigma \] |
| D. | \[\sigma =+1\] |
| Answer» C. \[Y=\sigma \] | |
| 549. |
Unit of power is [NCERT 1972; CPMT 1971; DCE 1999] |
| A. | Kilowatt |
| B. | Kilowatt-hour |
| C. | Dyne |
| D. | Joule |
| Answer» B. Kilowatt-hour | |
| 550. |
At t=0, the shape of a travelling pulse is given by \[y(x,0)=\frac{4\times {{10}^{-3}}}{8\times {{(x)}^{-2}}}\] where x and y are in metres. The wave function for the travelling pulse if the velocity or propagation is 5 m/s in the x direction is given by |
| A. | \[y(x,t)=\frac{4\times {{10}^{-3}}}{8-({{x}^{2}}-5t)}\] |
| B. | \[y(x,t)=\frac{4\times {{10}^{-3}}}{8-{{(x-5t)}^{2}}}\] |
| C. | \[y(x,t)=\frac{4\times {{10}^{-3}}}{8-{{(x+5t)}^{2}}}\] |
| D. | \[y(x,t)=\frac{4\times {{10}^{-3}}}{8-({{x}^{2}}+5t)}\] |
| Answer» C. \[y(x,t)=\frac{4\times {{10}^{-3}}}{8-{{(x+5t)}^{2}}}\] | |