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.

1.

Find the equivalent thermal resistance of combination of rods as shown in figure. Every rod has same length I and cross-sectional area A. Thermal conductivities are mentioned in figure.

A. \[\frac{1}{4KA}\]
B. \[\frac{7l}{4KA}\]
C. \[\frac{7l}{12KA}\]
D. \[\frac{l}{12KA}\]
Answer» D. \[\frac{l}{12KA}\]
2.

The ripple factor in a half wave rectifier is          [RPMT 2002]

A. 1.21
B. 0.48
C. 0.6
D. None of these
Answer» B. 0.48
3.

Assertion             :       Two persons on the surface of moon cannot talk to each other.  Reason                 :       There is no atmosphere on moon.

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.
4.

A potential barrier of 0.50 V exists across a P-N junction. If the depletion region is \[5.0\times {{10}^{-7}}\]m wide, the intensity of the electric field in this region is                                                        [UPSEAT 2002]

A. \[1.0\times {{10}^{6}}\,V/m\]
B. \[1.0\times {{10}^{5}}\,V/m\]
C. \[2.0\times {{10}^{5}}\,V/m\]
D. \[2.0\times {{10}^{6}}\,V/m\]
Answer» B. \[1.0\times {{10}^{5}}\,V/m\]
5.

The laptop PC?s modern electronic watches and calculators use the following for display

A. Single crystal
B. Poly crystal
C. Liquid crystal
D. Semiconductors
Answer» D. Semiconductors
6.

The reason of current flow in P-N junction in forward bias is [RPMT 2000]

A. Drifting of charge carriers
B. Minority charge carriers
C. Diffusion of charge carriers
D. All of these
Answer» D. All of these
7.

The period of a simple pendulum is doubled, when                                         [CPMT 1974; MNR 1980; AFMC 1995; Pb. PET/PMT 2002]

A. Its length is doubled
B. The mass of the bob is doubled
C. Its length is made four times
D. The mass of the bob and the length of the pendulum are doubled
Answer» D. The mass of the bob and the length of the pendulum are doubled
8.

The period of oscillation of a simple pendulum of constant length at earth surface is T. Its period inside a mine is                    [CPMT 1973; DPMT 2001]

A. Greater than T
B. Less than T
C. Equal to T
D. Cannot be compared
Answer» B. Less than T
9.

Assertion             :       To protect any instrument from external magnetic field, it is put inside an iron body. Reason                 :       Iron is a magnetic substance.

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.
10.

Two travelling waves \[{{y}_{1}}=A\sin [k(x-ct)]\] and\[{{y}_{2}}=A\sin [k(x+ct)]\]are superimposed on string. The distance between adjacent nodes is

A. \[ct/\pi \]
B. \[ct/2\pi \]
C. \[\pi /2k\]
D. \[\pi /k\]
Answer» E.
11.

A hot body will radiate heat most rapidly if its surface is

A. White & polished
B. White & rough
C. Black & polished
D. Black & rough
Answer» E.
12.

In which of the following process, convection does not take place primarily

A. Sea and land breeze
B. Boiling of water
C. Warming of glass of bulb due to filament
D. Heating air around a furnace
Answer» D. Heating air around a furnace
13.

A hot and a cold body are kept in vacuum separated from each other. Which of the following cause decrease in temperature of the hot body

A. Radiation
B. Convection
C. Conduction
D. Temperature remains unchanged
Answer» B. Convection
14.

In a p-n junction having depletion layer of thickness \[{{10}^{-6}}m\] the potential across it is \[0.1\text{ }V\]. The electric field is

A. \[{{10}^{7}}V/m\]
B. \[{{10}^{-6}}V/m\]
C. \[{{10}^{5}}V/m\]
D. \[{{10}^{-5}}V/m\]
Answer» D. \[{{10}^{-5}}V/m\]
15.

Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency n1 and the other with frequency n2. The ratio n1/n2 is given by [IIT-JEE (Screening) 2000]

A. 2
B. 4
C. 8
D. 1
Answer» E.
16.

Expansion during heating                                    [CBSE PMT 1994]

A. Occurs only in solids
B. Increases the weight of a material
C. Decreases the density of a material
D. Occurs at the same rate for all liquids and solids
Answer» D. Occurs at the same rate for all liquids and solids
17.

If the length of simple pendulum is increased by 300%, then the time period will be increased by              [RPMT 1999]

A. 100%
B. 200%
C. 300%
D. 400%
Answer» B. 200%
18.

Select the correct statement                                   [RPMT 2003]

A. In a full wave rectifier, two diodes work alternately
B. In a full wave rectifier, two diodes work simultaneously
C. The efficiency of full wave and half wave rectifiers is same
D. The full wave rectifier is bi-directional.
Answer» B. In a full wave rectifier, two diodes work simultaneously
19.

It \[{{\operatorname{H}}_{K}}, {{H}_{C}}\]and \[{{H}_{F}}\]are heat required to raise the temperature of one gram of water by one degree in Celsius, Kelvin and Fahrenheit temperature scales respectively then

A. \[{{\operatorname{H}}_{K}}>{{H}_{C}}>{{H}_{F}}\]
B. \[{{\operatorname{H}}_{F}}>{{H}_{C}}>{{H}_{K}}\]
C. \[{{\operatorname{H}}_{K}}={{H}_{C}}>{{H}_{F}}\]
D. \[{{\operatorname{H}}_{K}}={{H}_{C}}>{{H}_{F}}\]
Answer» D. \[{{\operatorname{H}}_{K}}={{H}_{C}}>{{H}_{F}}\]
20.

A vector having magnitude 30 unit makes equal angles with each of X, Y and Z axes. The components of vector along each of X, Y and Z axes are

A. \[10\sqrt{3}\] unit
B. \[\frac{10}{\sqrt{3}}\] unit
C. \[15\sqrt{3}\] unit
D. 10 unit
Answer» B. \[\frac{10}{\sqrt{3}}\] unit
21.

X-rays of \[\lambda =1\,{AA}\] have frequency                               [DCE 1998]

A. \[3\times {{10}^{8}}\,Hz\]
B. \[3\times {{10}^{18}}\,Hz\]
C. \[3\times {{10}^{10}}\,Hz\]
D. \[3\times {{10}^{15}}\,Hz\]
Answer» C. \[3\times {{10}^{10}}\,Hz\]
22.

If the length of second's pendulum is decreased by 2%, how many seconds it will lose per day   [CPMT 1992]

A. 3927 sec
B. 3727 sec
C. 3427 sec
D. 864 sec
Answer» E.
23.

A tube shaped like a parallelogram is filled with liquid is kept in a vertical plane. Tube is heated at mid-point of ad. The heat flows only by convection. Then

A. \[{{\operatorname{T}}_{d}}={{T}_{a}}>{{T}_{b}}={{T}_{c}}\]
B. \[{{\operatorname{T}}_{a}}>{{T}_{b}}>{{T}_{c}}>{{T}_{d}}\]
C. \[{{\operatorname{T}}_{a}}>{{T}_{b}}>{{T}_{d}}={{T}_{c}}\]
D. \[{{\operatorname{T}}_{d}}>{{T}_{a}}>{{T}_{b}}>{{T}_{c}}\]
Answer» B. \[{{\operatorname{T}}_{a}}>{{T}_{b}}>{{T}_{c}}>{{T}_{d}}\]
24.

The volume of a metal ball increases by 0.18% when its temperature is increased by \[{{30}^{o}}C\] What is the coefficient of linear expansion of metal?

A. \[2\times {{10}^{-5}}{{l}^{0}}C\]
B. \[3\times {{10}^{-5}}{{l}^{0}}C\]
C. \[6\times {{10}^{-5}}{{l}^{0}}C\]
D. \[1.8\times {{10}^{-4}}{{l}^{0}}C\]
Answer» B. \[3\times {{10}^{-5}}{{l}^{0}}C\]
25.

Steam at \[1\,\,\text{atm}\,\,and\,\,100{}^\circ C\] enters a radiator & leaves as water at \[1\,\,\text{atm}\,\,and\,\,80{}^\circ C,\] take \[{{L}_{y}}=540\text{ cal/cm}\] and \[{{s}_{water}}=11\text{ }cal/gm/{}^\circ C.\] If the total energy given off as heat, the % age arises from the cooling of water is

A. 100
B. 54
C. 3.6
D. 8.2
Answer» D. 8.2
26.

A constant volume gas thermometer shows pressure reading of 50 cm and 90 cm of mercury at \[0{}^\circ C\] and \[100{}^\circ C\] respectively. When the pressure reading is 60 cm of mercury, the temperature is

A. \[25{}^\circ C\]
B. \[40{}^\circ C~\]
C. \[15{}^\circ C\]
D. \[{{12.5}^{o}}C\]
Answer» B. \[40{}^\circ C~\]
27.

Figure shows two coherent sources \[{{S}_{1}}-{{S}_{2}}\] vibrating in same phase. AB is an irregular wire lying at a far distance from the sources \[{{S}_{1}}\] and \[{{S}_{2}}\].Let\[\frac{\lambda }{d}={{10}^{-3}}\].\[\angle BOA={{0.12}^{o}}\] . How many bright spots will be seen on the wire, including points A and B.

A. 2
B. 3
C. 4
D. more than 4
Answer» B. 3
28.

If the sodium light in Young?s double slit experiment is replaced by red light, the fringe width will              [MP PMT 2002]

A. Decrease
B. Increase
C. Remain unaffected
D. First increase, then decrease
Answer» C. Remain unaffected
29.

In Young?s double slit experiment the wavelength of light was changed from 7000 Å to 3500 Å. While doubling the separation between the slits which of the following is not true for this experiment                                          [Orissa JEE 2002]

A. The width of the fringes changes
B. The colour of bright fringes changes
C. The separation between successive bright fringes changes
D. The separation between successive dark fringes remains unchanged
Answer» E.
30.

Two identical coherent sources are placed on a diameter of a circle of radius R at separation x (<< R) symmetrical about the center of the circle. The sources emit identical wavelength\[\lambda \] each. The number of points on the circle of maximum intersity is\[(x=5\lambda )\]

A. 20
B. 22
C. 24
D. 26
Answer» B. 22
31.

Two waves of intensity I undergo Interference. The maximum intensity obtained is                        [BHU 2005]

A. I / 2
B. I
C. 2I
D. 4I
Answer» E.
32.

The energy of a hydrogen atom in its ground state is \[-13.6\ eV\]. The energy of the level corresponding to the quantum number n = 2 (first excited state) in the hydrogen atom is                  [CBSE PMT 1996; CBSE PMT 1997, 2001; MP PET 2000; AFMC 2000, 01, 02; BCECE 2003]

A. ? 2.72 eV
B. ? 0.85 eV
C. ? 0.54 eV
D. ? 3.4 eV
Answer» E.
33.

If the length of a stretched string is shortened by 40% and the tension is increased by 44%, then the ratio of the final and initial fundamental frequencies is [EAMCET 2003]

A. 2 : 1
B. 3 : 2
C. 3 : 4
D. 1 : 3
Answer» B. 3 : 2
34.

(Radius of the earth R = 6400 kilometers) Choose the correct statement from the following : Weightlessness of an astronaut moving in a satellite is a situation of            [MP PMT 1995]

A. Zero g
B. No gravity
C. Zero mass
D. Free fall
Answer» E.
35.

Two rods are joined between fixed supports as shown in the figure. Condition for no change in the lengths of individual rods with the increase of temperature will be (\[{{\alpha }_{1}},{{\alpha }_{2}}\]= linear expansion co-efficient \[{{\text{A}}_{\text{1}}}\text{,}{{\text{A}}_{\text{2}}}\] =Area of rods \[{{\text{Y}}_{\text{1}}}\text{,}{{\text{Y}}_{\text{2}}}\]= Young modulus)

A. \[\frac{{{\text{A}}_{\text{1}}}}{{{\text{A}}_{\text{2}}}}\text{=}\frac{{{\text{ }\!\!\alpha\!\!\text{ }}_{\text{1}}}{{\text{Y}}_{\text{1}}}}{{{\text{ }\!\!\alpha\!\!\text{ }}_{\text{2}}}{{\text{Y}}_{\text{2}}}}\]
B. \[\frac{{{\text{A}}_{\text{1}}}}{{{\text{A}}_{\text{2}}}}\text{=}\frac{{{\text{L}}_{1}}{{\text{ }\!\!\alpha\!\!\text{ }}_{\text{1}}}{{\text{Y}}_{\text{1}}}}{{{\text{L}}_{2}}{{\text{ }\!\!\alpha\!\!\text{ }}_{\text{2}}}{{\text{Y}}_{\text{2}}}}\]
C. \[\frac{{{\text{A}}_{\text{1}}}}{{{\text{A}}_{\text{2}}}}\text{=}\frac{{{\text{L}}_{2}}{{\text{ }\!\!\alpha\!\!\text{ }}_{2}}{{\text{Y}}_{2}}}{{{\text{L}}_{1}}{{\text{ }\!\!\alpha\!\!\text{ }}_{1}}{{\text{Y}}_{1}}}\]
D. \[\frac{{{\text{A}}_{\text{1}}}}{{{\text{A}}_{\text{2}}}}\text{=}\frac{{{\text{ }\!\!\alpha\!\!\text{ }}_{2}}{{\text{Y}}_{2}}}{{{\text{ }\!\!\alpha\!\!\text{ }}_{1}}{{\text{Y}}_{1}}}\]
Answer» E.
36.

The kinetic energy of an electron revolving around a nucleus will be                                        [BCECE 2004]

A. Four times of P.E.
B. Double of P.E.
C. Equal to P.E.
D. Half of its P.E.
Answer» E.
37.

A tuning fork of frequency 512 Hz makes 4 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per sec when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

A. \[510\,Hz\]
B. \[514\,Hz\]
C. \[516\,Hz\]
D. \[508\,Hz\]
Answer» E.
38.

SI unit of pressure is [EAMCET 1980; DPMT 1984; CBSE PMT 1988; NCERT 1976; AFMC 1991; USSR MEE 1991]

A. Pascal
B. \[Dynes/c{{m}^{2}}\]
C. \[cm\,\] of \[Hg\]
D. Atmosphere
Answer» B. \[Dynes/c{{m}^{2}}\]
39.

A potential barrier of \[0.3\] Volt exists across a p-n junction. The depletion region is 1 pm wide. The intensity of electric field in this region is E. If electron with speed \[5\times {{10}^{5}}m/s\] approaches this p-n junction from n-side, what will be its speed V on entering the p-side?

A. \[V=12\times {{10}^{5}}m/s\]
B. \[V=1\times {{10}^{4}}m/s\]
C. \[V=3.8\times {{10}^{5}}m/s\]
D. \[V=1.6\times {{10}^{4}}m/s\]
Answer» D. \[V=1.6\times {{10}^{4}}m/s\]
40.

A mass m attached to a spring oscillates every 2 sec. If the mass is increased by 2 kg, then time-period increases by 1 sec. The initial mass is                           [CBSE PMT 2000; AIIMS 2000; MP PET 2000; DPMT 2001; Pb. PMT 2003]

A. 1.6 kg
B. 3.9 kg
C. 9.6 kg
D. 12.6 kg
Answer» B. 3.9 kg
41.

One quality of a thermometer is that its heat capacity should be small. If P is a mercury thermometer, Q is a resistance thermometer and R thermocouple type then [CPMT 1997]

A. P is best, R worst
B. R is best, P worst
C. R is best, Q worst
D. P is best, Q worst
Answer» D. P is best, Q worst
42.

Two springs with spring constants \[{{K}_{1}}=1500\,N/m\] and \[{{K}_{2}}=3000\,N/m\] are stretched by the same force. The ratio of potential energy stored in spring will be           [RPET 2001]

A. 2 : 1
B. 1 : 2
C. 4 : 1
D. 1 : 4
Answer» B. 1 : 2
43.

In case of a forced vibration, the resonance wave becomes very sharp when the

A. quality factor is small
B. damping force is small
C. restoring force is small
D. applied periodic force is small
Answer» C. restoring force is small
44.

A rod of mass M and length L is hinged at its centre of mass so that it can rotate in a vertical plane. Two springs each of stiffness k are connected at its ends, as shown in the figure. The time period of SHM is

A. \[2\pi \sqrt{\frac{M}{6k}}\]
B. \[2\pi \sqrt{\frac{M}{3k}}\]
C. \[2\pi \sqrt{\frac{ML}{k}}\]
D. \[\pi \sqrt{\frac{M}{6k}}\]
Answer» B. \[2\pi \sqrt{\frac{M}{3k}}\]
45.

The work done in stretching an elastic wire per unit volume is or strain energy in a stretched string is [NCERT 1981; EAMCET (Med.) 1995; MNR 1981; MP PET 1984; RPMT 1999; DCE 2003]

A. Stress \[\times \] Strain
B. \[\frac{1}{2}\times \]Stress \[\times \]Strain
C. \[2\times \text{strain}\times \text{stress}\]
D. Stress/Strain
Answer» C. \[2\times \text{strain}\times \text{stress}\]
46.

At what temperature velocity of sound is double than that of at 0°C                                        [RPMT 1999]

A. 819 K
B. 819°C
C. 600°C
D. 600 K
Answer» C. 600°C
47.

If velocity of sound in a gas is 360 m/s and the distance between a compression and the nearest rarefaction is 1m, then the frequency of sound is                                [KCET 1999]

A. 90 Hz
B. 180 Hz
C. 360 Hz
D. 720 Hz
Answer» C. 360 Hz
48.

The radius of the first (lowest) orbit of the hydrogen atom is \[{{a}_{0}}.\] The radius of the second (next higher) orbit will be                                                                   [MP PET 2002; MP PMT 2004]

A. \[4{{a}_{0}}\]
B. \[6{{a}_{0}}\]
C. \[8{{a}_{0}}\]
D. \[10{{a}_{0}}\]
Answer» B. \[6{{a}_{0}}\]
49.

Intensity of X-rays depends upon the number of  [SCRA 1998; DPMT 2000; AFMC 2001]

A. Electrons
B. Protons
C. Neutrons
D. Positrons
Answer» B. Protons
50.

X-rays are [CPMT 1975; EAMCET 1995; RPET 2000; SCRA 1994]

A. Stream of electrons
B. Stream of positively charged particles
C. Electromagnetic radiations of high frequency
D. Stream of uncharged particles
Answer» D. Stream of uncharged particles