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.

8451.

A linear harmonic oscillator of force constant \[2\times {{10}^{6}}N/m\]times and amplitude 0.01 m has a total mechanical energy of 160 joules. Its [IIT JEE 1989; CPMT 1995; CBSE PMT 1996; KECT (Med.) 1999; AMU (Engg.) 2000; UPSEAT 2001]

A.            Maximum potential energy is 100 J
B.            Maximum K.E. is 100 J      
C.            Maximum P.E. is 160 J
D.            Minimum P.E. is zero
Answer» C.            Maximum P.E. is 160 J
8452.

\[1c{{m}^{3}}\] of water at its boiling point absorbs 540 calories of heat to become steam with a volume of \[1671c{{m}^{3}}\].If the atmospheric pressure = \[1.013x{{10}^{5}}N/{{m}^{2}}\] and the mechanical equivalent of heat = \[4.19J/calorie\], the energy spent in this process in overcoming intermolecular forces is [MP PET 1999, 2001; Orissa JEE 2002]

A.            540 cal                                    
B.            40 cal
C.            500 cal                                    
D.            Zero
Answer» D.            Zero
8453.

The coefficient of apparent expansion of mercury in a glass vessel is 153 × 10?6/ºC  and in a steel vessel is 144 × 10?6/ºC. If a for steel is 12 × 10?6/ºC, then that of glass is [EAMCET 1997]

A.            9 × 10?6/ºC                            
B.            6 × 10?6/ºC
C.            36 × 10?6/ºC                          
D.            27 × 10?6/ºC
Answer» B.            6 × 10?6/ºC
8454.

A homogeneous solid cylinder of length L\[(L

A.             \[\frac{5}{4}d\]
B.             \[\frac{4}{5}d\]
C.             \[d\]
D.             \[\frac{d}{5}\]
Answer» B.             \[\frac{4}{5}d\]
8455.

Two uniform wires \[A\] and \[B\] are of the same metal and have equal masses. The radius of wire \[A\] is twice that of wire \[B\]. The total resistance of A and \[B\] when connected in parallel is [MNR 1994]

A.            \[4\,\Omega \] when the resistance of wire \[A\] is \[4.25\,\Omega \]
B.            \[5\,\Omega \] when the resistance of wire \[A\] is \[4.25\,\Omega \]
C.            \[4\,\Omega \] when the resistance of wire \[B\] is \[4.25\,\Omega \]
D.            \[4\,\Omega \] when the resistance of wire \[B\] is \[4.25\,\Omega \]
Answer» B.            \[5\,\Omega \] when the resistance of wire \[A\] is \[4.25\,\Omega \]
8456.

If the resultant of n forces of different magnitudes acting at a point is zero, then the minimum value of n is         [SCRA 2000]

A.            1    
B.            2
C.            3    
D.            4
Answer» D.            4
8457.

An electric line of force in the xy plane is given by equation \[{{x}^{2}}+{{y}^{2}}=1\]. A particle with unit positive charge, initially at rest at the point \[x=1,\ y=0\] in the \[xy\] plane          [IIT 1988]

A.                    Not move at all
B.                    Will move along straight line
C.                    Will move along the circular line of force
D.                    Information is insufficient to draw any conclusion
Answer» D.                    Information is insufficient to draw any conclusion
8458.

A particle P moving with speed v undergoes a head -on elastic collision with another particle Q of identical mass but at rest. After the collision                            [Roorkee 2000]

A.             Both P and Q move forward with speed \[\frac{v}{2}\]
B.             Both P and Q move forward with speed \[\frac{v}{\sqrt{2}}\]
C.             P comes to rest and Q moves forward with speed v
D.             P and Q move in opposite directions with speed \[\frac{v}{\sqrt{2}}\]
Answer» D.             P and Q move in opposite directions with speed \[\frac{v}{\sqrt{2}}\]
8459.

A large number of water drops each of radius r combine to have a drop of radius R. If the surface tension is T and the mechanical equivalent of heat is J, then the rise in temperature will be                              [MP PET 1994; DPMT 2002]

A. \[\frac{2T}{rJ}\]                   
B. \[\frac{3T}{RJ}\]
C. \[\frac{3T}{J}\left( \frac{1}{r}-\frac{1}{R} \right)\]
D. \[\frac{2T}{J}\left( \frac{1}{r}-\frac{1}{R} \right)\]
Answer» D. \[\frac{2T}{J}\left( \frac{1}{r}-\frac{1}{R} \right)\]
8460.

A point object O is placed on the principal axis of a convex lens of focal length 20 cm at a distance of 40 cm to the left of it. The diameter of the lens is 10 cm. If the eye is placed 60 cm to the right of the lens at a distance h below the principal axis, then the maximum value of h to see the image will be                                   [MP PMT 1999]

A.            0    
B.            5 cm
C.            2.5 cm                                     
D.            10 cm
Answer» D.            10 cm
8461.

The Bohr radius of the fifth electron of phosphorus (atomic number = 15) acting as dopant in silicon (relative dielectric constant = 12) is

A.            10.6 Å                                      
B.            0.53 Å
C.            21.2 Å                                      
D.            None of these
Answer» B.            0.53 Å
8462.

An electron passing through a potential difference of 4.9 V collides with a mercury atom and transfers it to the first excited state. What is the wavelength of a photon corresponding to the transition of the mercury atom to its normal state                                                                        [AMU (Med.) 2002]

A.            2050 Å                                     
B.            2240 Å
C.            2525 Å                                     
D.            2935 Å
Answer» D.            2935 Å
8463.

X-ray beam of intensity \[{{I}_{0}}\]passes through an absorption plate of thickness d. If absorption coefficient of material of plate is \[\mu \], the correct statement regarding the transmitted intensity I of X-ray is                                             [MP PET 1999]

A.            \[I={{I}_{0}}(1-{{e}^{-\mu d}})\]                                     
B.            \[I={{I}_{0}}{{e}^{-\mu d}}\]
C.                    \[I={{I}_{0}}(1-{{e}^{-\mu /d}})\]                            
D.                    \[I={{I}_{0}}{{e}^{-\mu /d}}\]
Answer» C.                    \[I={{I}_{0}}(1-{{e}^{-\mu /d}})\]                            
8464.

An inductor of 2 henry and a resistance of 10 ohms are connected in series with a battery of 5 volts. The initial rate of change of current is                                                 [MP PMT 2001]

A.            0.5 amp/sec                         
B.            2.0 amp/sec
C.            2.5 amp/sec                         
D.            0.25 amp/sec
Answer» D.            0.25 amp/sec
8465.

A bar magnet has coercivity \[4\times {{10}^{3}}\,A{{m}^{-1}}.\] It is desired to demagnetise it by inserting it inside a solenoid 12 cm long and having 60 turns. The current that should be sent through the solenoid is

A.            2 A
B.            4 A
C.            6 A
D.            8 A
Answer» E.
8466.

One junction of a certain thermoelectric couple is at a fixed temperature \[{{T}_{r}}\] and the other junction is at temperature T. The thermo electromotive force for this is expressed by \[E=K(T-{{T}_{r}})\left[ {{T}_{0}}-\frac{1}{2}(T+{{T}_{r}}) \right]\]. At temperature \[T=\frac{1}{2}{{T}_{0}}\], the thermoelectric power is                                                                              [MP PMT 1994]

A.                    \[\frac{1}{2}K{{T}_{0}}\]  
B.                    \[K{{T}_{0}}\]
C.                    \[\frac{1}{2}KT_{0}^{2}\]
D.                    \[\frac{1}{2}K{{({{T}_{0}}-{{T}_{r}})}^{2}}\]
Answer» B.                    \[K{{T}_{0}}\]
8467.

Two metallic spheres \[{{S}_{1}}\] and \[{{S}_{2}}\]are made of the same material and have identical surface finish. The mass of \[{{S}_{1}}\] is three times that of \[{{S}_{2}}\]. Both the spheres are heated to the same high temperature and placed in the same room having lower temperature but are thermally insulated from each other. The ratio of the initial rate of cooling of \[{{S}_{1}}\] to that of \[{{S}_{2}}\] is                       [IIT 1995]

A.            \[1/3\]                                    
B.            \[{{(1/3)}^{1/3}}\]
C.            \[1/\sqrt{3}\]                       
D.            \[\sqrt{3}/1\]
Answer» C.            \[1/\sqrt{3}\]                       
8468.

Which one of the following gases possesses the largest internal energy                 [SCRA 1998]

A.            2 moles of helium occupying \[1{{m}^{3}}\]at 300 K
B.            56 kg of nitrogen at \[107N{{m}^{-2}}\] and 300 K
C.            8 grams of oxygen at 8 atm and 300 K
D.            \[6\times {{10}^{26}}\] molecules of argon occupying \[40{{m}^{3}}\] at 900 K
Answer» C.            8 grams of oxygen at 8 atm and 300 K
8469.

The temperature of equal masses of three different liquids A, B and C are 12ºC, 19ºC and 28ºC respectively. The temperature when A and B are mixed is 16ºC and when B and C are mixed is  23ºC. The temperature when A  and C are mixed is                                                              [Kerala PET 2005]

A.            18.2ºC                                     
B.            22ºC
C.            20.2ºC                                     
D.            25.2ºC
Answer» D.            25.2ºC
8470.

The potential difference across 8 ohm resistance is 48 volt as shown in the figure. The value of potential difference across X and Y points will be                                   [MP PET 1996]

A.            160 volt
B.            128 volt
C.            80 volt
D.            62 volt
Answer» B.            128 volt
8471.

Charge \[q\] is uniformly distributed over a thin half ring of radius \[R\]. The electric field at the centre of the ring is                                                                                          [Roorkee 1999]

A.            \[\frac{q}{2{{\pi }^{2}}{{\varepsilon }_{0}}{{R}^{2}}}\]
B.                                      \[\frac{q}{4{{\pi }^{2}}{{\varepsilon }_{0}}{{R}^{2}}}\]
C.            \[\frac{q}{4\pi {{\varepsilon }_{0}}{{R}^{2}}}\]          
D.            \[\frac{q}{2\pi {{\varepsilon }_{0}}{{R}^{2}}}\]
Answer» C.            \[\frac{q}{4\pi {{\varepsilon }_{0}}{{R}^{2}}}\]          
8472.

A geostationary satellite orbits around the earth in a circular orbit of radius 36000 km. Then, the time period of a satellite orbiting a few hundred kilometres above the earth?s surface \[({{R}_{\text{Earth}}}=6400\,km)\] will approximately be [IIT-JEE (Screening) 2002]

A. 1/2 h
B.                      1 h
C.   2 h    
D.   4 h
Answer» D.   4 h
8473.

A body of mass m moving with velocity v collides head on with another body of mass 2m which is initially at rest. The ratio of K.E. of colliding body before and after collision will be                                 [Roorkee 1982]

A.             1 : 1
B.               2 : 1
C.             4 : 1    
D.             9 : 1
Answer» E.
8474.

In the figure is shown Young?s double slit experiment. Q is the position of the first bright fringe on the right side of O. P is the 11th fringe on the other side, as measured from Q. If the wavelength of the light used is \[6000\times {{10}^{-10}}m\], then \[{{S}_{1}}B\] will be equal to                                                                          [CPMT 1986, 92]

A.            \[6\times {{10}^{-6}}m\]
B.            \[6.6\times {{10}^{-6}}m\]
C.            \[3.138\times {{10}^{-7}}m\]
D.            \[3.144\times {{10}^{-7}}m\]
Answer» B.            \[6.6\times {{10}^{-6}}m\]
8475.

Diameter of a plano?convex lens is 6 cm and thickness at the centre is 3 mm. If the speed of light in the material of the lens is 2 \[\times \] 108 m/sec, the focal length of the lens is [CPMT 1989]

A.            15 cm                                      
B.            20 cm
C.            30 cm                                      
D.            10 cm
Answer» D.            10 cm
8476.

A transistor is used as an amplifier in CB mode with a load resistance of 5 k W the current gain of amplifier is 0.98 and the input resistance is 70 W, the voltage gain and power gain respectively are                                             [Pb. PET 2003]

A.            70, 68.6                                   
B.            80, 75.6
C.            60, 66.6                                   
D.            90, 96.6
Answer» B.            80, 75.6
8477.

The transition from the state \[n=4\] to \[n=3\] in a hydrogen-like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition         [IIT-JEE (Screening) 2001]

A.            \[2\to 1\]                               
B.            \[3\to 2\]
C.            \[4\to 2\]                               
D.            \[5\to 4\]
Answer» E.
8478.

The wavelength of \[{{K}_{\alpha }}\]X-rays produced by an X-ray tube is 0.76 Å. The atomic number of the anode material of the tube is                                                     [IIT 1996]

A.            20  
B.            60
C.            40  
D.            80
Answer» D.            80
8479.

A conducting rod of length 2l is rotating with constant angular speed w about its perpendicular bisector. A uniform magnetic field \[\overrightarrow{B}\] exists parallel to the axis of rotation. The e.m.f. induced between two ends of the rod is [MP PET 2001]

A.            Bwl2                                         
B.            \[\frac{1}{2}B\omega {{l}^{2}}\]
C.            \[\frac{1}{8}B\omega {{l}^{2}}\]                                      
D.            Zero
Answer» E.
8480.

Two long wires are hanging freely. They are joined first in parallel and then in series and then are connected with a battery. In both cases, which type of force acts between the two wires                                                 [MP PET 1993]

A.            Attraction force when in parallel and repulsion force when in series
B.            Repulsion force when in parallel and attraction force when in series
C.            Repulsion force in both cases
D.            Attraction force in both cases
Answer» B.            Repulsion force when in parallel and attraction force when in series
8481.

For copper-iron (Cu-Fe) couple, the thermo e.m.f. (temperature of cold junction\[=0{}^\circ C\]) is given by\[E=(14\theta -0.02{{\theta }^{2}})\mu V\]. The neutral temperature will be

A.            \[350{}^\circ C\]                 
B.            350 K
C.            \[560{}^\circ C\]                 
D.            560 K
Answer» B.            350 K
8482.

Oxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is         [KCET 2004]

A.            \[\sqrt{\frac{1}{8}}\]        
B.            \[\sqrt{\frac{32}{17}}\]
C.            \[\sqrt{8}\]                           
D.            \[\sqrt{\frac{2}{17}}\]
Answer» B.            \[\sqrt{\frac{32}{17}}\]
8483.

Three rods of same dimensions are arranged as shown in figure they have thermal conductivities \[{{K}_{1}},{{K}_{2}}\] and\[{{K}_{3}}\] The points P and Q are maintained at different temperatures for the heat to flow at the same rate along PRQ  and PQ then which of the following option is correct                [KCET 2001]

A.            \[{{K}_{3}}=\frac{1}{2}({{K}_{1}}+{{K}_{2}})\]
B.            \[{{K}_{3}}={{K}_{1}}+{{K}_{2}}\]
C.            \[{{K}_{3}}=\frac{{{K}_{1}}{{K}_{2}}}{{{K}_{1}}+{{K}_{2}}}\]
D.            \[{{K}_{3}}=2({{K}_{1}}+{{K}_{2}})\]
Answer» D.            \[{{K}_{3}}=2({{K}_{1}}+{{K}_{2}})\]
8484.

If two balls of same metal weighing 5 gm and 10 gm strike with a target with the same velocity. The heat energy so developed is used for raising their temperature alone, then the temperature will be higher

A.            For bigger ball
B.            For smaller ball
C.            Equal for both the balls
D.            None is correct from the above three
Answer» D.            None is correct from the above three
8485.

When an ideal gas \[(\gamma =5/3\]) is heated under constant pressure, then what percentage of given heat energy will be utilised in doing external work                                                                     [RPET 1999]

A.            40 %                                         
B.            30 %
C.            60 %                                         
D.            20 %
Answer» B.            30 %
8486.

The electric field in a region is radially outward with magnitude \[E=A{{\gamma }_{0}}\]. The charge contained in a sphere of radius \[{{\gamma }_{0}}\] centered at the origin is     [AMU 1999]

A.            \[\frac{1}{4\pi {{\varepsilon }_{0}}}A\gamma _{0}^{3}\]    
B.            \[4\pi {{\varepsilon }_{0}}A\gamma _{0}^{3}\]
C.            \[\frac{4\pi {{\varepsilon }_{0}}A}{{{\gamma }_{0}}}\]        
D.            \[\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{A}{\gamma _{0}^{3}}\]
Answer» C.            \[\frac{4\pi {{\varepsilon }_{0}}A}{{{\gamma }_{0}}}\]        
8487.

If the distance between the earth and the sun becomes half its present value, the number of days in a year would have been                                [IIT 1996; RPET 1996]

A. 64.5    
B.             129
C.             182.5  
D.             730
Answer» C.             182.5  
8488.

Consider elastic collision of a particle of mass m moving with a velocity u with another particle of the same mass at rest. After the collision the projectile and the struck particle move in directions making angles \[{{\theta }_{1}}\]and \[{{\theta }_{2}}\]respectively with the initial direction of motion. The sum of the angles. \[{{\theta }_{1}}+{{\theta }_{2}},\]is                    [UPSEAT 2004]

A.             \[45{}^\circ \]
B.             \[90{}^\circ \]
C.             \[135{}^\circ \]         
D.             \[180{}^\circ \]
Answer» C.             \[135{}^\circ \]         
8489.

A particle is moving eastwards with velocity of 5 m/s. In 10 sec the velocity changes to 5 m/s northwards. The average acceleration in this time is      [IIT 1982; AFMC 1999; Pb PET 2000; JIPMER 2001, 02]

A.             Zero
B.             \[\frac{1}{\sqrt{2}}\,\,m\text{/}{{s}^{\text{2}}}\] toward north-west
C.             \[\frac{1}{\sqrt{2}}\,\,m\text{/}{{s}^{\text{2}}}\] toward north-east
D.             \[\frac{1}{2}\,\,m\text{/}{{s}^{\text{2}}}\]toward north-west
Answer» C.             \[\frac{1}{\sqrt{2}}\,\,m\text{/}{{s}^{\text{2}}}\] toward north-east
8490.

A convex lens A of focal length 20 cm and a concave lens B of focal length 5 cm  are kept along the same axis with the distance d between them. If a parallel beam of light falling on  A leaves B as a parallel beam, then distance d in cm will be                                                                          [MNR 1990; IIT-JEE 1985]

A.            25  
B.            15
C.            30  
D.            50
Answer» C.            30  
8491.

The peak voltage in the output of a half-wave diode rectifier fed with a sinusoidal signal without filter is 10 V. The dc component of the output voltage is               [CBSE PMT 2004]

A.            \[10/\sqrt{2}\,V\]              
B.            10/p V
C.            10 V                                         
D.            20/p V
Answer» C.            10 V                                         
8492.

Imagine an atom made up of a proton and a hypothetical particle of double the mass of the electron but having the same charge as the electron. Apply the Boh?r atom model and consider all possible transitions of this hypothetical particle to the first excited level. The longest wavelength photon that will be emitted has wavelength l (given in terms of the Rydberg constant R for the hydrogen atom) equal to  [IIT-JEE (Screening) 2000]

A.            9/(5R)                                     
B.            36/(5R)
C.            18/(5R)                                   
D.            4/R
Answer» D.            4/R
8493.

An X-ray tube is operating at 50 kV and 20 mA. The target material of the tube has a mass of 1.0 kg and specific heat 495 J kg-1 \[^{o}{{C}^{-1}}\]. One percent of the supplied electric power is converted into X-rays and the entire remaining energy goes into heating the target. Then                                            [IIT 1995]

A.            A suitable target material must have a high melting temperature
B.            A suitable target material must have low thermal conductivity
C.            The average rate of rise of temperature of target would be 2 °C/s
D.            The minimum wavelength of the X-rays emitted is about \[0.25\times {{10}^{-10}}\,m\]
Answer» D.            The minimum wavelength of the X-rays emitted is about \[0.25\times {{10}^{-10}}\,m\]
8494.

A metallic square loop ABCD is moving in its own plane with velocity v in a uniform magnetic field perpendicular to its plane as shown in the figure. An electric field is induced                [IIT JEE (Screening) 2001]

A.            In AD, but not in BC
B.            In BC, but not in AD
C.            Neither in AD nor in BC
D.            In both AD and BC
Answer» E.
8495.

An ac source of angular frequency w is fed across a resistor r and a capacitor C in series. The current registered is I. If now the frequency of source is changed to w/3 (but maintaining the same voltage), the current in then circuit is found to be halved. Calculate the ratio of reactance to resistance at the original frequency w   [Roorkee 1996]

A.            \[\sqrt{\frac{3}{5}}\]        
B.            \[\sqrt{\frac{2}{5}}\]
C.            \[\sqrt{\frac{1}{5}}\]        
D.            \[\sqrt{\frac{4}{5}}\]
Answer» B.            \[\sqrt{\frac{2}{5}}\]
8496.

Each atom of an iron bar \[(5\,cm\times 1\,cm\times 1\,cm)\] has a magnetic moment \[1.8\times {{10}^{-23}}\,A{{m}^{2}}.\] Knowing that the density of iron is \[7.78\times {{10}^{3}}\,k{{g}^{-3}}m,\] atomic weight is 56 and Avogadro's  number is \[6.02\times {{10}^{23}}\] the magnetic moment of bar in the state of magnetic saturation will be

A.            \[4.75\,\,A{{m}^{2}}\]      
B.            \[5.74\,\,A{{m}^{2}}\]
C.            \[7.54\,\,A{{m}^{2}}\]      
D.            \[75.4\,\,A{{m}^{2}}\]
Answer» D.            \[75.4\,\,A{{m}^{2}}\]
8497.

 A horizontal rod of mass 10 gm and length 10 cm is placed on a smooth plane inclined at an angle of \[60{}^\circ \] with the horizontal, with the length of the rod parallel to the edge of the inclined plane. A uniform magnetic field of induction B is applied vertically downwards. If the current through the rod is 1.73 ampere, then the value of B for which the rod remains stationary on the inclined plane is

A.            1.73 Tesla                              
B.            \[\frac{1}{1.73}\] Tesla
C.            1 Tesla                                    
D.            None of the above
Answer» D.            None of the above
8498.

A light pointer fixed to one prong of a tuning fork touches a vertical plate. The fork is set vibrating and the plate is allowed to fall freely. If eight oscillations are counted when the plate falls through 10 cm, the frequency of the tuning fork is       [IIT 1977; KCET 2002]

A.            360 Hz                                     
B.            280 Hz
C.            560 Hz                                     
D.            56 Hz
Answer» E.
8499.

The expression for thermo e.m.f. in a thermocouple is given by the relation\[E=40\,\theta -\frac{{{\theta }^{2}}}{20}\], where \[\theta \] is the temperature difference of two junctions. For this, the neutral temperature will be                                                                       [AMU (Engg.) 2000]

A.            \[100{}^\circ C\]                 
B.            \[200{}^\circ C\]
C.            \[300{}^\circ C\]                 
D.            \[400{}^\circ C\]
Answer» E.
8500.

The metallic bob of a simple pendulum has the relative densityr. The time period of this pendulum is T. If the metallic bob is immersed in water, then the new time period is given by                                                [SCRA 1998]

A.            \[T\frac{\rho -1}{\rho }\]
B.            \[T\frac{\rho }{\rho -1}\]
C.            \[T\sqrt{\frac{\rho -1}{\rho }}\]                                      
D.            \[T\sqrt{\frac{\rho }{\rho -1}}\]
Answer» E.