Explore topic-wise MCQs in Joint Entrance Exam - Main (JEE Main).

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.

901.

The specific heat of a gas at constant pressure is greater than the specific heat of the same gas at constant volume because

A. work is done in the expansion of the gas at constant pressure.
B. work is done in the expansion of the gas at constant volume.
C. the attraction between the molecules increases at constant pressure.
D. the molecular attraction increases at constant volume.
Answer» B. work is done in the expansion of the gas at constant volume.
902.

In Young's double slit experiment, a mica slit of thickness t and refractive index m is introduced in the ray from the first source S1. By how much distance the fringes pattern will be displaced    [RPMT 1996, 97; JIPMER 2000; RPMT 2003]

A. \[\frac{d}{D}(\mu -1)\ t\]
B. \[\frac{D}{d}(\mu -1)\ t\]
C. \[\frac{d}{(\mu -1)D}\]
D. \[\frac{D}{d}(\mu -1)\]
Answer» C. \[\frac{d}{(\mu -1)D}\]
903.

Assertion          :           Generally the path of a projectile from the earth is parabolic but it is elliptical for projectiles going to a very large height. Reason            :           The path of a projectile is independent of the gravitational force of earth.

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.
904.

Which of the following is in the increasing order for penetrating power

A. \[\alpha ,\ \beta ,\ \gamma \]
B. \[\beta ,\ \alpha ,\ \gamma \]
C. \[\gamma ,\ \alpha ,\ \beta \]
D. \[\gamma ,\ \beta ,\ \alpha \]
Answer» B. \[\beta ,\ \alpha ,\ \gamma \]
905.

What are the dimensions of A/B in the relation \[F=A\sqrt{x}+B{{t}^{2}}\], where F is the force, x is the distance and t is time?

A. \[M{{L}^{2}}{{T}^{-2}}\]
B. \[{{L}^{-1/2}}{{T}^{2}}\]
C. \[{{L}^{-1/2}}{{T}^{-1}}\]
D. \[L{{T}^{-2}}\]
Answer» C. \[{{L}^{-1/2}}{{T}^{-1}}\]
906.

Number of significant figures in expression \[\frac{4.327g}{2.51\,c{{m}^{3}}}\] is

A. 2
B. 4
C. 3
D. 5
Answer» D. 5
907.

A frictionless dielectric plate \[S\] is kept on a frictionless table \[T\]. A charged parallel plate capacitance \[C\] (of which the plates are frictionless) is kept near it. The plate \[S\] is between the plates. When the plate \[S\] is left between the plates                                                               [CPMT 1988]

A. It will remain stationary on the table
B. It is pulled by the capacitor and will pass on the other end
C. It is pulled between the plates and will remain there
D. All the above statements are false
Answer» D. All the above statements are false
908.

In a Young?s double slit experiment, the separation of the two slits is doubled. To keep the same spacing of fringes, the distance D of the screen from the slits should be made  [MNR 1998; AMU (Engg.) 2001]

A. \[\frac{D}{2}\]
B. \[\frac{D}{\sqrt{2}}\]
C. 2D
D. 4D
Answer» D. 4D
909.

In Young?s experiment, the ratio of maximum to minimum intensities of the fringe system is 4 : 1. The amplitudes of the coherent sources are in the ratio   [RPMT 1996; MP PET 2000; RPET 2001; MP PMT 2001]

A. 4 : 1
B. 3 : 1
C. 2 : 1
D. 1 : 1
Answer» C. 2 : 1
910.

Young?s double slit experiment is performed with light of wavelength 550 nm. The separation between the slits is 1.10 mm and screen is placed at distance of 1 m. What is the distance between the consecutive bright or dark fringes [Pb. PMT 2000]

A. 1.5 mm
B. 1.0 mm
C. 0.5 mm
D. None of these
Answer» D. None of these
911.

A spring balance is graduated on sea level. If a body is weighed with this balance at consecutively increasing heights from earth's surface, the weight indicated by the balance                                 [MP PET 1995]

A. Will go on increasing continuously
B. Will go on decreasing continuously
C. Will remain same
D. Will first increase and then decrease
Answer» C. Will remain same
912.

Assertion             :       In all conductors, for studying the thermoelectric behaviour or metals, lead is taken as a reference metal.   Reason                 :   In lead, the Thomson effect is negative.

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.
913.

A string on a musical instrument is 50 cm long and its fundamental frequency is 270 Hz. If the desired frequency of 1000 Hz is to be produced, the required length of the string is  [EAMCET (Engg.) 1998; CPMT 2000; Pb. PET 2001]

A. 13.5 cm
B. 2.7 cm
C. 5.4 cm
D. 10.3 cm
Answer» B. 2.7 cm
914.

To increase the frequency from 100 Hz to 400 Hz the tension in the string has to be changed by [RPET 2001]

A. 4 times
B. 16 times
C. 20 times
D. None of these
Answer» C. 20 times
915.

The tension in a piano wire is 10N. What should be the tension in the wire to produce a note of double the frequency                                                                       [AIIMS 2001]

A. 5 N
B. 20 N
C. 40 N
D. 80 N
Answer» D. 80 N
916.

A ball is rolled off the edge of a horizontal table at a speed of 4 m/second.  It hits the ground after 0.4 second.  Which statement given below is true

A. It hits the ground at a horizontal distance 1.6 m from the edge of the table
B. The speed with which it hits the ground is 4.0 m/second
C. Height of the table is 0.8 m
D. It hits the ground at an angle of \[{{60}^{o}}\] to the horizontal
Answer» 1 , 3. The speed with which it hits the ground is 4.0 m/second
917.

Dielectric constant of pure water is 81. Its permittivity will be                                                      [CPMT 1984]

A. \[7.12\times {{10}^{-10}}\,MKS\] units
B. \[8.86\times {{10}^{-12}}MKS\] units
C. \[1.02\times {{10}^{13}}\ MKS\] units
D. Cannot be calculated
Answer» B. \[8.86\times {{10}^{-12}}MKS\] units
918.

A carnot engine has the same efficiency between  800 K to 500 K and x K to 600 K. The value of x is

A. 1000 K
B. 960 K
C. 846 K
D. 754 K
Answer» C. 846 K
919.

What is the angular velocity of earth    [Orissa JEE 2005]

A. \[\frac{2\pi }{86400}rad/\sec \]
B. \[\frac{2\pi }{3600}rad/\sec \]
C. \[\frac{2\pi }{24}rad/\sec \]
D. \[\frac{2\pi }{6400}rad/\sec \]
Answer» B. \[\frac{2\pi }{3600}rad/\sec \]
920.

Direction: A point object O is placed at the origin of coordinate system. An equi-convex thin lens\[({{\mu }_{g}}=1.5)\] of focal length \[f=20\,cm\]in air is placed so that its principal axis is along x-axis. Now the lens is cut at the middle (along the principal axis) and upper half is shifted along x-axis and y-axis by 20 cm and 2 mm respectively and right side of lower half is filled with water \[({{\mu }_{\omega }}=4/3)\]Coordinates of the image produced by the lens \[{{L}_{2}}\] will be

A. 140 cm, 0
B. 140 cm, 20
C. 70 cm, 0
D. 140 cm, 30
Answer» B. 140 cm, 20
921.

Four lowest energy levels of H-atom are shown in the figure. The number of possible emission lines would be                                                                                                                                                                                                                         [MP PMT 2001]

A. 3
B. 4
C. 5
D. 6
Answer» E.
922.

Newton postulated his corpuscular theory on the basis of  [UPSEAT 2001; KCET 2001]

A. Newton?s rings
B. Colours of thin films
C. Rectilinear propagation of light
D. Dispersion of white light
Answer» D. Dispersion of white light
923.

The dual nature of light is exhibited by  [KCET 1999; AIIMS 2001; BHU 2001;  MH CET 2003; BCECE 2004]

A. Photoelectric effect
B. Refraction and interference
C. Diffraction and reflection
D. Diffraction and photoelectric effect
Answer» E.
924.

It is easier to draw up a wooden block along an inclined plane than to haul it vertically, principally because [CPMT 1977; JIPMER 1997]

A. The friction is reduced
B. The mass becomes smaller
C. Only a part of the weight has to be overcome
D. ?g? becomes smaller
Answer» D. ?g? becomes smaller
925.

X-rays are produced due to                [CPMT 1985; JIPMER 2002]

A. Break up of molecules
B. Changing in atomic energy level
C. Changing in nuclear energy level
D. Radioactive disintegration
Answer» C. Changing in nuclear energy level
926.

An imaginary ideal gas with adiabatic exponent \[\gamma =2\] goes through a cycle as shown in figure. Find efficiency of cycle:

A. \[\frac{1}{9}\]
B. \[\frac{1}{8}\]
C. \[\frac{1}{6}\]
D. \[\frac{1}{5}\]
Answer» B. \[\frac{1}{8}\]
927.

Referring to the above two questions, the acceleration due to gravity is given by

A. \[10\,m/{{\sec }^{2}}\]
B. \[5m/{{\sec }^{2}}\]
C. \[20\,\,m/{{\sec }^{2}}\]
D. \[2.5\,\,m/{{\sec }^{2}}\]
Answer» B. \[5m/{{\sec }^{2}}\]
928.

Assertion             :       Soft iron is used as transformer core. Reason                 :       Soft iron has narrow hysteresis loop.

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.
929.

The current in a coil changes from 4 ampere to zero in 0.1 s. If the average e.m.f. induced is 100 volt, what is the self inductance of the coil                                                   [MNR 1998]

A. \[2.5\ H\]
B. \[25\,H\]
C. \[400\ H\]
D. \[40\ H\]
Answer» B. \[25\,H\]
930.

Let the refractive index of a denser medium with respect to a rarer medium be \[{{n}_{12}}\] and its critical angle be \[{{\theta }_{C}}\]. At an angle of incidence A when light is travelling from denser medium to rarer medium, a part of the light is reflected and the rest is refracted and the angle between reflected and refracted rays is \[90{}^\circ .\]Angle A is given by:

A. \[\frac{1}{{{\cos }^{-1}}\left( \sin {{\theta }_{C}} \right)}\]
B. \[\frac{1}{{{\tan }^{-1}}\left( \sin {{\theta }_{C}} \right)}\]
C. \[{{\cos }^{-1}}\left( \sin {{\theta }_{C}} \right)\]
D. \[{{\tan }^{-1}}\left( \sin {{\theta }_{C}} \right)\]
Answer» E.
931.

Intensity observed in an interference pattern is \[I={{I}_{0}}Si{{n}^{2}}\]. \[At\theta ={{30}^{o}}\] intensity \[I=5\pm 0.0020W/{{m}^{2}}\]. Find percentage error in angle if \[{{I}_{0}}=20W/{{m}^{2}}\]

A. \[\frac{4}{\pi }\sqrt{3}\times {{10}^{-2}}%\]
B. \[\frac{2}{\pi }\sqrt{3}\times {{10}^{-2}}%\]
C. \[\frac{1}{\pi }\sqrt{3}\times {{10}^{-2}}%\]
D. \[\frac{3}{\pi }\sqrt{3}\times {{10}^{-2}}%\]
Answer» B. \[\frac{2}{\pi }\sqrt{3}\times {{10}^{-2}}%\]
932.

A wooden cylinder of 50 kg is floating in water. A weight of 2 kg is to be placed on it to just make it submerge when the temperature is \[10{}^\circ C\]. How much less weight is to be placed when temperature increases to \[30{}^\circ C\]? (Given \[{{\gamma }_{water}}={{10}^{-4}}{{/}^{o}}C,{{\gamma }_{wood}}\] is negligible.):

A. 104 g
B. 58 g
C. 208 g
D. 54 g
Answer» B. 58 g
933.

The thermal capacity of 40 g of aluminium (specific heat \[-\,0.2cal/\,gm{}^\circ C)\])

A. \[40cal/{}^\circ C\]
B. \[160cal/{}^\circ C\]
C. \[200cal/{}^\circ C\]
D. \[8cal/{}^\circ C\]
Answer» E.
934.

DIRECTION: Read the passage given below and answer the questions that follows: In a thermally insulated tube of cross sectional area \[\frac{GMm}{2R}\] a liquid of thermal expansion coefficient \[{{10}^{-3}}\,{{K}^{-1}}\] is flowing. Its velocity at the entrance is \[0.1\text{ }m/s\]. At the middle of the tube a heater of a power of 10kW is heating the liquid. The specific heat capacity of the liquid is 1.5 kJ/(kg K), and its density is \[1500\text{ }kg/{{m}^{3}}\] at the entrance. The rise in temperature of the liquid as it pass through the tube is

A. \[\frac{1000}{9}{}^\circ C\]
B. \[\frac{1}{9}{}^\circ C\]
C. \[\frac{500}{9}{}^\circ C\]
D. None of these
Answer» B. \[\frac{1}{9}{}^\circ C\]
935.

In case of a semiconductor, which of the following statement is wrong                                                 [Pb. PMT 1999]

A. Doping increases conductivity
B. Temperature coefficient of resistance is negative
C. Resisitivity is in between that of a conductor and insulator
D. At absolute zero temperature, it behaves like a conductor
Answer» E.
936.

A person goes 10 km north and 20 km east. What will be displacement from initial point                                [AFMC 1994, 2003]

A. 22.36 km
B. 2 km
C. 5 km
D. 20 km
Answer» B. 2 km
937.

A stone dropped from a building of height h and it reaches after t seconds on earth. From the same building if two stones are thrown (one upwards and other downwards) with the same velocity u and they reach the earth surface after \[{{t}_{1}}\] and \[{{t}_{2}}\] seconds, respectively, then

A. \[t={{t}_{1}}-{{t}_{2}}\]
B. \[t=\frac{{{t}_{1}}+{{t}_{2}}}{2}\]
C. \[t=\sqrt{{{t}_{1}}{{t}_{2}}}\]
D. \[t_{1}^{2}=t_{2}^{2}\]
Answer» D. \[t_{1}^{2}=t_{2}^{2}\]
938.

If a car covers 2/5th of the total distance with \[{{v}_{1}}\] speed and 3/5th distance with \[{{v}_{2}},\] then average speed is

A. \[\frac{1}{2}\,\sqrt{{{v}_{1}}{{v}_{2}}}\]
B. \[\frac{{{v}_{1}}+{{v}_{2}}}{2}\]
C. \[\frac{2{{v}_{1}}{{v}_{2}}}{{{v}_{1}}+{{v}_{2}}}\]
D. \[\frac{5{{v}_{1}}{{v}_{2}}}{3{{v}_{1}}+2{{v}_{2}}}\]
Answer» E.
939.

A body starts from rest with uniform acceleration. If its velocity after n second is l), then its displacement in the last two seconds is

A. \[\frac{2\upsilon (n+1)}{n}\]
B. \[\frac{\upsilon (n+1)}{n}\]
C. \[\frac{\upsilon (n-1)}{n}\]
D. \[\frac{2\upsilon (n-1)}{n}\]
Answer» E.
940.

The combination of gates shown below yields

A. OR gate
B. NOT gate
C. XOR gate
D. NAND gate
Answer» B. NOT gate
941.

You measure two quantities as\[A=1.0m\pm 0.2m\]\[B=2.0m\pm 0.2m\]. We should report correct value for \[\sqrt{AB}\] as

A. \[1.4m\pm 0.4m\]
B. \[1.41m\pm 0.15m\]
C. \[1.4m\pm 0.3m\]
D. \[1.4m\pm 0.2m\]
Answer» E.
942.

A small ball of density \[4{{\rho }_{0}}\] is released from rest just below the surface of a liquid. The density of liquid increases with depth as \[\rho ={{\rho }_{0}}(1+ay)\] where \[a=2{{m}^{-1}}\]is a constant. Find the time period of its oscillation. (Neglect the viscosity effects).

A. \[\frac{2\pi }{\sqrt{5}}\sec \]
B. \[\frac{\pi }{\sqrt{5}}\sec \]
C. \[\frac{\pi }{2\sqrt{5}}\sec \]
D. \[\frac{3\pi }{2\sqrt{5}}\sec \]
Answer» B. \[\frac{\pi }{\sqrt{5}}\sec \]
943.

A parallel plate capacitor has a capacity \[C\]. The separation between the plates is doubled and a dielectric medium is introduced between the plates. If the capacity now becomes\[2C\], the dielectric constant of the medium is                                                                                     [Haryana CEE 1996]

A. 2
B. 1
C. 4
D. 8
Answer» D. 8
944.

Assertion             :       The periodic time of a hard spring is less as compared to that of a soft spring.  Reason                 :       The periodic time depends upon the spring constant, and spring constant is large for hard spring.

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.
945.

Assertion             :       The spring constant of a spring is k. When it is divided into n equal parts, then spring constant of one piece is k/n. Reason                 :       The spring constant is independent of material used for the spring.

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.
946.

Assertion             :       In extreme position of a particle executing S.H.M., both velocity and acceleration are zero.  Reason                 :       In S.H.M., acceleration always acts towards mean position.

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.
947.

A bus is beginning to move with an acceleration of \[1\text{ }m{{s}^{2}}\]. A boy who is 48 m behind the bus starts running at \[10\text{ }m{{s}^{1}}\]. After what time will the boy be able to catch the bus?

A. 6 s
B. 8 s
C. 10 s
D. The boy cannot catch the bus
Answer» C. 10 s
948.

An air filled parallel plate capacitor has capacity C. If distance between plates is doubled and it is immersed in a liquid then capacity becomes twice. Dielectric constant of the liquid is                                                [BCECE 2004]

A. 1
B. 2
C. 3
D. 4
Answer» E.
949.

A body of mass 5 kg is moving with a momentum of 10 kg-m/s. A force of 0.2 N acts on it in the direction of motion of the body for 10 seconds. The increase in its kinetic energy is                 [MP PET 1999]

A. 2.8 Joule
B. 3.2 Joule
C. 3.8 Joule
D. 4.4 Joule
Answer» E.
950.

Assertion          :           If earth suddenly stops rotating about its axis, then the value of acceleration due to gravity will become same at all the places.  Reason            :           The value of acceleration due to gravity is independent of rotation of earth.

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.