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.

1501.

A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved [CBSE PMT 1998]

A. 14 m/s
B. 3 m/s
C. 3.92 m/s
D. 5 m/s
Answer» B. 3 m/s
1502.

Read the given statements and decide which is/are correct on the basis of kinetic theory of gases            (I) Energy of one molecule at absolute temperature is zero (II) r.m.s. speeds of different gases are same at same temperature (III) For one gram of all ideal gas kinetic energy is same at same temperature (IV) For one mole of all ideal gases mean kinetic energy is same at same temperature

A. All are correct
B. I and IV are correct
C. IV is correct
D. None of these
Answer» E.
1503.

At the same temperature and pressure and volume of two gases, which of the following quantities is constant

A. Total number of molecules
B. Average kinetic energy
C. Root mean square velocity
D. Mean free path
Answer» C. Root mean square velocity
1504.

Assertion             :       A brass tumbler feels much colder than a wooden tray on a chilly day.            Reason                 :       The thermal conductivity of brass is less than that of wood.

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.
1505.

Assertion             :       When we start filling an empty bucket with water, the pitch of sound produced goes on decreasing. Reason                 :       The frequency of man voice is usually higher than that of woman.

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.
1506.

Assertion             :       A tuning fork is made of an alloy of steel, nickel and chromium. Reason                 :       The alloy of steel, nickel and chromium is called elinvar.

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.
1507.

Assertion             :       Particle velocity and wave velocity both are independent of time. Reason                 :       For the propagation of wave motion, the medium must have the properties of elasticity and inertia.

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.
1508.

Direction: A particle initially (i.e., at time \[t=0\]) moving with a velocity u subjected to a retarding force, as a result of which it decelerates at a rate \[a=-k\,\sqrt{v}\] where v is the instantaneous velocity and k is a positive constant.The distance covered by the particle before coming to rest is

A. \[\frac{{{u}^{3/2}}}{k}\]
B. \[\frac{2{{u}^{3/2}}}{k}\]
C. \[\frac{3{{u}^{3/2}}}{2k}\]
D. \[\frac{2{{u}^{3/2}}}{3k}\]
Answer» E.
1509.

Direction: A particle initially (i.e., at time \[t=0\]) moving with a velocity u subjected to a retarding force, as a result of which it decelerates at a rate \[a=-k\,\sqrt{v}\] where v is the instantaneous velocity and k is a positive constant.The particle comes to rest in a time

A. \[\frac{2\sqrt{u}}{k}\]
B. \[\frac{\sqrt{u}}{k}\]
C. \[2k\sqrt{u}\]
D. \[k\sqrt{u}\]
Answer» B. \[\frac{\sqrt{u}}{k}\]
1510.

When a rod is heated but prevented from expanding, the stress developed is independent of [EAMCET 1997]

A. Material of the rod
B. Rise in temperature
C. Length of rod
D. None of above
Answer» D. None of above
1511.

Which of the following is true for elastic potential energy density                                 [RPET 2001]

A. Energy density = \[\frac{1}{2}\times \text{strain}\times \text{stress}\]
B. Energy density = \[{{\text{(strain)}}^{2}}\times \text{volume}\]
C. Energy density = (strain)× volume
D. Energy density = (stress)× volume
Answer» B. Energy density = \[{{\text{(strain)}}^{2}}\times \text{volume}\]
1512.

A simple pendulum, suspended from the ceiling of a stationary van, has time period T. If the van starts moving with a uniform velocity the period of the pendulum will be [RPMT 2003]

A. Less than T
B. Equal to 2T
C. Greater than T
D. Unchanged
Answer» E.
1513.

If the length of the simple pendulum is increased by 44%, then what is the change in time period of pendulum                                                                     [MH CET 2004; UPSEAT 2005]

A. 22%
B. 20%
C. 33%
D. 44%
Answer» C. 33%
1514.

To show that a simple pendulum executes simple harmonic motion, it is necessary to assume that           [CPMT 2001]

A. Length of the pendulum is small
B. Mass of the pendulum is small
C. Amplitude of oscillation is small
D. Acceleration due to gravity is small
Answer» D. Acceleration due to gravity is small
1515.

Ultrasonic waves are those waves                         [CPMT 1979]

A. To which man can hear
B. Man can't hear
C. Are of high velocity
D. Of high amplitude
Answer» C. Are of high velocity
1516.

Assertion             :       Anode of Coolidge tube gets heated up at time of emission of X-rays.             Reason     :       The anode of Coolidge tube is made of a material of high melting point.

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.
1517.

Sound waves have the following frequencies that  are audible to human beings                                                [CPMT 1975]

A. 5 c/s
B. 27000 c/s
C. 5000 c/s
D. 50,000 c/s
Answer» D. 50,000 c/s
1518.

Assertion             :       Gauss theorem is not applicable in magnetism. Reason                 :       Mono magnetic pole does not exist.

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.
1519.

Assertion             :       The e.m.f. of the driver cell in the potentiometer experiment should be greater than the e.m.f. of the cell to be determined. Reason                 :   The fall of potential across the potentiometer wire should not be less than the e.m.f. of the cell to be determined.

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.
1520.

Two masses \[{{m}_{1}}\] and \[{{m}_{2}}\] which are connected with a light string, are placed over a frictionless pulley. This set up is placed over a weighing machine, as shown. Three combination of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] are used, in first case \[{{m}_{1}}=6\,kg\] and \[{{m}_{2}}=2\,kg,\] in second case  \[{{m}_{1}}=5\,kg\] and \[{{m}_{2}}=3\,kg\] and in third case \[{{m}_{1}}=4\,kg\] and \[{{m}_{2}}=4\,kg\]. Masses are held stationary initially and then released. If the readings of the weighing machine after the release in three cases are\[{{W}_{1}},\,{{W}_{2}}\] and \[{{W}_{3}}\] respectively then:

A. \[{{W}_{1}}>{{W}_{2}}>{{W}_{3}}\]
B. \[{{W}_{1}}<{{W}_{2}}<{{W}_{3}}\]
C. \[{{W}_{1}}={{W}_{2}}={{W}_{3}}\]
D. \[{{W}_{1}}={{W}_{2}}<{{W}_{3}}\]
Answer» C. \[{{W}_{1}}={{W}_{2}}={{W}_{3}}\]
1521.

Suppose 0.5 mole of an ideal gas undergoes an isothermal expansion as energy is added to its heat Q.            Graph shows the final volume \[{{V}_{f}}\] versus Q.   The temperature of the gas is (use ln 9 = 2 and\[R=\frac{25}{3}J/mol-K\])

A. 360 K
B. 293 K
C. 386 K
D. 412 K
Answer» B. 293 K
1522.

The temperature at which thermal electric power of a thermo couple becomes zero is called      [MP PMT 2001]

A. Inversion temperature
B. Neutral temperature
C. Junction temperature
D. Null temperature
Answer» C. Junction temperature
1523.

A partition divides a container having insulated walls into two compartments I and II. The same gas fills the two compartments whose initial parameters are given. The partition is a conducting wall which can move freely without friction. Which of the following statement is correct, with reference to the final equilibrium position?

A. The Pressure in the two compartments are unequal.
B. Volume of compartment I is \[\frac{2V}{5}\]
C. Volume of compartment II is\[\frac{12\,V}{5}\]
D. Final pressure in compartment I is \[\frac{4P}{3}\]
Answer» D. Final pressure in compartment I is \[\frac{4P}{3}\]
1524.

During an experiment an ideal gas obeys an additional equation of state \[{{P}^{2}}V=\text{constant}\text{.}\] The initial temperature and volume of gas are T and V, respectively. When it expands to volume 2V, then its temperature will be

A. T
B. \[\sqrt{2}T\]
C. 2T
D. \[2\sqrt{2}T\]
Answer» C. 2T
1525.

A monoatomic ideal gas is expanded adiabatically to n times of its initial volume. The ratio of final rate of collision of molecules with the unit area of container walls to the initial rate will be

A. \[{{n}^{-4/3}}\]
B. \[{{n}^{4/3}}\]
C. \[{{n}^{2/3}}\]
D. \[{{n}^{-2/3}}\]
Answer» B. \[{{n}^{4/3}}\]
1526.

At the top of the trajectory of a projectile, the directions of its velocity and acceleration are

A. Perpendicular to each other
B. Parallel to each other
C. Inclined to each other at an angle of  \[{{45}^{o}}\]
D. Antiparallel to each other
Answer» B. Parallel to each other
1527.

A ball is thrown upwards and it returns to ground describing a parabolic path. Which of the following remains constant

A. Kinetic energy of the ball
B. Speed of the ball
C. Horizontal component of velocity
D. Vertical component of velocity
Answer» D. Vertical component of velocity
1528.

Radio frequency choke uses core of                     [AFMC 2004]

A. Air
B. Iron
C. Air and iron
D. None of these
Answer» B. Iron
1529.

A ray of light is incident on a thick slab of glass (thickness t) as shown below. The emergent ray is parallel to the incident ray but displaced. Sideways by a distance d. If the angles are small then d is:

A. \[t\left( 1-i/r \right)\]
B. \[rt\left( 1-i/r \right)\]
C. \[rt\left( 1-\frac{r}{i} \right)\]
D. \[t\left( 1-\frac{r}{i} \right)\]
Answer» D. \[t\left( 1-\frac{r}{i} \right)\]
1530.

Absolute temperature can be calculated by [AFMC 1994]

A. Mean square velocity
B. Motion of the molecule
C. Both A and B
D. None of the above
Answer» B. Motion of the molecule
1531.

The frequency (f) of a wire oscillating with a length \[\ell \], in p loops, under a tension T is given by \[f=\frac{P}{2\ell }\sqrt{\frac{T}{\mu }}\] where \[\mu =\] linear density of the wire. If the error made in determining length, tension and linear density be 1%, -2% and 4%, then find the percentage error in the calculated frequency

A. -0.04
B. - 2%
C. - 1%
D. - 5%
Answer» B. - 2%
1532.

In a fall wave rectifier circuit operating from \[150\text{ }Hz\]mains frequency, the fundamental frequency in the ripple would be

A. \[25\text{ }Hz\]
B. \[50\text{ }Hz\]
C. \[70.7\text{ }Hz\]
D. \[\text{300 }Hz\]
Answer» E.
1533.

Magnitude of vector which comes on addition of two vectors, \[6\hat{i}+7\hat{j}\] and \[3\hat{i}+4\hat{j}\] is                   [BHU 2000]

A. \[\sqrt{136}\]
B. \[\sqrt{13.2}\]
C. \[\sqrt{202}\]
D. \[\sqrt{160}\]
Answer» D. \[\sqrt{160}\]
1534.

Cream gets separated out of milk when it is churned, it is due to                                 [EAMCET 1981]

A. Gravitational force
B. Centripetal force
C. Centrifugal force
D. Frictional force
Answer» D. Frictional force
1535.

A \[700\,pF\] capacitor is charged by a \[50V\] battery. The electrostatic energy stored by it is                    [MH CET 2000]

A. \[17.0\times {{10}^{-8}}\,J\]
B. \[13.6\times {{10}^{-9}}\,J\]
C. \[9.5\times {{10}^{-9}}\,J\]
D. \[8.7\times {{10}^{-7}}\,J\]
Answer» E.
1536.

The moon's radius is 1/4 that of the earth and its mass is 1/80 times that of the earth. If g represents the acceleration due to gravity on the surface of the earth, that on the surface of the moon is                     [MP PMT 1997; MP PET 2000, 01; RPET 2000; Pb. PET 2001]

A. g/4
B. g/5
C. g/6
D. g/8
Answer» C. g/6
1537.

Assertion          :           The acceleration produced by a force in the motion of a body depends only upon its mass.             Reason            :           Larger is the mass of the body, lesser will be the acceleration produced.

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.
1538.

Assertion             :       Electron capture occurs more often than positron emission in heavy elements. Reason                 :       Heavy elements exhibit radioactivity.

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.
1539.

Two bodies have their moments of inertia I and 21 respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio

A. 2:1
B. 1:2
C. \[\sqrt{2}:1\]
D. \[1:\sqrt{2}\]
Answer» E.
1540.

Assertion             :       The properties of paramagnetic and ferromagnetic substance are not effected by heating. Reason                 :       As temperature rises, the alignment of molecular magnets gradually decreases.

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.
1541.

Certain amount of heat is given to 100 g of copper to increase its temperature by \[21{}^\circ C\]. If the same amount of heat is given to 50 g of water, then the rise in its temperature is (Specific heat capacity of copper\[=400J k{{g}^{-1}} {{K}^{-1}}\] and that for water =\[4200 J k{{g}^{-1}} {{K}^{-1}}\])

A. \[4{}^\circ C\]
B. \[5.25{}^\circ C\]
C. \[8{}^\circ C\]
D. \[6{}^\circ C\]
Answer» B. \[5.25{}^\circ C\]
1542.

Assertion             :       On going away from a point charge or a small electric dipole, electric field decreases at the same rate in both the cases.             Reason     :   Electric field is inversely proportional to square of distance from the charge or an electric dipole.

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.
1543.

Assertion             :       For higher temperature, the peak emission wavelength of a black body shifts to lower wavelengths.     Reason                 :       Peak emission wavelength of a blackbody is proportional to the fourth power of temperature.             [AIIMS 2005]

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.
1544.

A crystal diode is a                                                      [MP PET 2004]

A. Non-linear device
B. Amplifying device
C. Linear device
D. Fluctuating device
Answer» B. Amplifying device
1545.

The binding energy of a nucleon in a nucleus is of the order of a few [SCRA 1979]

A. \[eV\]
B. \[Ergs\]
C. \[MeV\]
D. \[Volts\]
Answer» D. \[Volts\]
1546.

In a Young's double slit experiment, if the incident light consists of two wavelengths \[{{\lambda }_{1}}\]and \[{{\lambda }_{2}}\], the slit separation is d, and the distance between the slit and the screen is D, the maxima due to the two wavelengths will coincide at a distance from the central maxima, given by:

A. \[\frac{{{\lambda }_{1}}{{\lambda }_{2}}}{2\,Dd}\]
B. \[({{\lambda }_{1}}-{{\lambda }_{2}}).\frac{2d}{D}\]
C. LCM of \[{{\lambda }_{1}}.\frac{D}{d}\] and \[{{\lambda }_{2}}.\frac{D}{d}\]
D. HCF of \[\frac{{{\lambda }_{1}}D}{d}\] and \[\frac{{{\lambda }_{2}}D}{d}\]
Answer» D. HCF of \[\frac{{{\lambda }_{1}}D}{d}\] and \[\frac{{{\lambda }_{2}}D}{d}\]
1547.

The maximum range of a gun on horizontal terrain is 16 km. If \[g=10m/{{s}^{2}}\]. What must be the muzzle velocity of the shell

A. 200 m/s
B. 400 m/s
C. 100 m/s
D. 50 m/s
Answer» B. 400 m/s
1548.

A stone is just released from the window of a train moving along a horizontal straight track. The stone will hit the ground following.

A. Straight path
B. Circular path
C. Parabolic path
D. Hyperbolic path
Answer» D. Hyperbolic path
1549.

Choose the false statement(s) from the following. I. Change in frequency due to Doppler effect will be positive if the distance between source and listener increases. II. Change in frequency due to Doppler effect will be negative if the distance between source and listener

A. I only
B. II only
C. I and II
D. None of these
Answer» D. None of these
1550.

The radius of the earth is 6400 km and \[g=10m/{{\sec }^{2}}\]. In order that a body of 5 kg weighs zero at the equator, the angular speed of the earth is                              [MP PMT 1985]

A. 1/80 radian/sec
B. 1/400 radian/sec
C. 1/800 radian/sec
D. 1/1600 radian/sec
Answer» D. 1/1600 radian/sec