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.

451.

Assertion          :           There is no effect of rotation of earth on acceleration due to gravity at poles. Reason            :           Rotation of earth is about polar axis.

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.
452.

If a force of 250 N act on body, the momentum acquired is 125 kg-m/s. What is the period for which force acts on the body                                   [CMEET Bihar 1995]

A. 0.5 sec
B. 0.2 sec
C. 0.4 sec
D. 0.25 sec
Answer» B. 0.2 sec
453.

A fly wheel rotating about a fixed axis has a kinetic energy of 360 joule when its angular speed is 30 radian/sec. The moment of inertia of the wheel about the axis of rotation is

A. \[0.6kg/{{m}^{2}}\]
B. \[0.15kg\,{{m}^{2}}\]
C. \[0.8kg\,{{m}^{2}}\]
D. \[0.75kg\,{{m}^{2}}\]
Answer» D. \[0.75kg\,{{m}^{2}}\]
454.

The time period of a simple pendulum is 2 sec. If its length is increased 4 times, then its period becomes                                                                    [CBSE PMT 1999; DPMT 1999]

A. 16 sec
B. 12 sec
C. 8 sec
D. 4 sec
Answer» E.
455.

A particle \[P\] is moving in a circle of radius \['a'\] with a uniform speed \[v\]. \[C\] is the centre of the circle and \[AB\] is a diameter. When passing through B the angular velocity of \[P\] about \[A\]  and  \[C\] are in the ratio             [NCERT 1982]

A. 1 : 1
B. 1 : 2
C. 2 : 1
D. 4 : 1
Answer» C. 2 : 1
456.

Bragg?s law for X-rays is                                           [UPSEAT 2001]

A. d sin \[\theta \]= \[2n\lambda \]
B. \[2d\,\sin \,\theta =n\lambda \]
C. \[n\sin \theta =2\lambda d\]
D. None of these
Answer» C. \[n\sin \theta =2\lambda d\]
457.

Two masses \[{{m}_{1}}\] and \[{{m}_{2}}\] are suspended together by a massless spring of constant k. When the masses are in equilibrium, \[{{m}_{1}}\] is removed without disturbing the system. Then the angular frequency of oscillation of \[{{m}_{2}}\] is

A. \[\sqrt{\frac{k}{{{m}_{1}}}}\]
B. \[\sqrt{\frac{k}{{{m}_{2}}}}\]
C. \[\sqrt{\frac{k}{{{m}_{1}}+{{m}_{2}}}}\]
D. \[\sqrt{\frac{k}{{{m}_{1}}{{m}_{2}}}}\]
Answer» C. \[\sqrt{\frac{k}{{{m}_{1}}+{{m}_{2}}}}\]
458.

A vertical column 50 cm long at 50°C balances another column of same liquid 60 cm long at 100°C. The coefficient of absolute expansion of the liquid is                     [EAMCET 1990]

A. 0.005/°C
B. 0.0005/°C
C. 0.002/°C
D. 0.0002/°C
Answer» B. 0.0005/°C
459.

A ray incident at a point at an angle of incidence of \[{{60}^{o}},\] enters a glass sphere of refractive index \[n=\sqrt{3}\] and is reflected and refracted at the further surface of the sphere. The angle between the reflected and refracted rays at this surface is

A. \[50{}^\circ \]
B. \[60{}^\circ \]
C. \[90{}^\circ \]
D. \[40{}^\circ \]
Answer» D. \[40{}^\circ \]
460.

If critical angle for a material to air is 30o, the refractive index of the material will be                         [MP PET 2001]

A. 1.0
B. 1.5
C. 2.0
D. 2.5
Answer» D. 2.5
461.

Optical fibres are related with                                 [AFMC 2002]

A. Communication
B. Light
C. Computer
D. None of these
Answer» B. Light
462.

Assertion             :       In Young?s double slit experiment, the fringes become indistinct if one of the slits is covered with cellophane paper. Reason                 :   The cellophane paper decrease the wavelength of light.

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.
463.

Assertion             :       Nicol prism is used to produce and analyse plane polarised light. Reason                 :   Nicol prism reduces the intensity of light to zero.

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.
464.

Assertion             :       The unpolarised light and polarised light can be distinguished from each other by using polaroid. Reason                 :   A polaroid is capable of producing plane polarised beams of light.

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.
465.

In the figure, \[{{S}_{1}}\] and \[{{S}_{2}}\] are identical springs. The oscillation frequency of the mass m is \[f\]. If one spring is removed, the frequency will become [CPMT 1971]

A. \[f\]
B. \[f\times 2\]
C. \[f\times \sqrt{2}\]
D. \[f/\sqrt{2}\]
Answer» E.
466.

A mass M is suspended from a light spring. An additional mass m added displaces the spring further by a distance x. Now the combined mass will oscillate on the spring with period [CPMT 1989, 1998 ; UPSEAT 2000]

A. \[T=2\pi \sqrt{\left( mg/x(M+m) \right)}\]
B. \[T=2\pi \sqrt{\left( (M+m)x/mg \right)}\]
C. \[T=(\pi /2)\sqrt{\left( mg/x(M+m) \right)}\]
D. \[T=2\pi \sqrt{\left( (M+m)/mgx \right)}\]
Answer» C. \[T=(\pi /2)\sqrt{\left( mg/x(M+m) \right)}\]
467.

The vertical extension in a light spring by a weight of 1 kg suspended from the wire is 9.8 cm. The period of oscillation                   [CPMT 1981; MP PMT 2003]

A. \[20\pi \sec \]
B. \[2\pi \sec \]
C. \[2\pi /10\sec \]
D. \[200\pi \sec \]
Answer» D. \[200\pi \sec \]
468.

A body of mass 5 gm is executing S.H.M. about a point with amplitude 10 cm. Its maximum velocity is 100 cm/sec. Its velocity will be 50 cm/sec at a distance                [CPMT 1976]

A. 5
B. \[5\sqrt{2}\]
C. \[5\sqrt{3}\]
D. \[10\sqrt{2}\]
Answer» D. \[10\sqrt{2}\]
469.

Assertion             :       Soft and hard X-rays differ in frequency as well as velocity. Reason                 :       The penetrating power of hard X-rays is more than the penetrating power of soft X-rays.

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.
470.

The valence band and conduction band of a solid overlap at low temperature, the solid may be [Orissa JEE 2002; BCECE 2004]

A. A metal
B. A semiconductor
C. An insulator
D. None of these
Answer» B. A semiconductor
471.

Assuming the diodes to be of silicon with for- ward resistance zero, the current I in the following circuit is

A. \[0\]
B. \[9.65\,mA\]
C. \[10\,mA\]
D. \[10.36\,mA\]
Answer» D. \[10.36\,mA\]
472.

The real coefficient of volume expansion of glycerine is 0.000597 per°C and linear coefficient of expansion of glass is 0.000009 per°C. Then the apparent volume coefficient of expansion of glycerine is                                           [AIIMS 2000]

A. 0.000558 per°C
B. 0.00057 per°C
C. 0.00027 per°C
D. 0.00066 per°C
Answer» C. 0.00027 per°C
473.

Assertion          :           A body having non-zero acceleration can have a constant velocity. Reason            :           Acceleration is the rate of change of 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» F.
474.

If \[|\,\vec{A}+\vec{B}\,|\,=\,|\,\vec{A}\,|+|\,\vec{B}\,|\], then angle between \[\vec{A}\]and \[\vec{B}\] will be                                                 [CBSE PMT 2001]

A. \[\text{9}0{}^\circ \]
B. \[\text{12}0{}^\circ \]
C. \[0{}^\circ \]
D. \[\text{6}0{}^\circ \]
Answer» D. \[\text{6}0{}^\circ \]
475.

If \[v=\frac{a}{t}+b{{t}^{3}}\] where \[v=\]velocity and t is time The dimensional formula of a and b are

A. \[[T],\,[{{T}^{-3}}]\]
B. \[[L],\,[L{{T}^{-4}}]\]
C. \[[{{T}^{-3}}],[T]\]
D. \[[L{{T}^{-4}}],[L]\]
Answer» C. \[[{{T}^{-3}}],[T]\]
476.

A person sees his virtual image by holding a mirror very close to the face. When he moves the mirror away from his face, the image becomes inverted. What type of mirror he is using

A. Plane mirror
B. Convex mirror
C. Concave mirror
D. None of these
Answer» D. None of these
477.

A boy stands straight infront of a mirror at a distance of \[30cm\] away from it. He sees his erect image whose height is \[\frac{1}{5}th\]of his real height. The mirror he is using is [MP PMT 1993]

A. Plane mirror
B. Convex mirror
C. Concave mirror
D. Plano-convex mirror
Answer» C. Concave mirror
478.

Which one of the following statements is true

A. An object situated at the principle focus of a concave lens will have its image formed at infinity
B. Concave mirror can give diminished virtual image
C. Given a point source of light, a convex mirror can produce a parallel beam of light
D. The virtual image formed in a plane mirror can be photographed
Answer» E.
479.

If the temperature of the sun becomes twice its present temperature, then

A. Radiated energy would be predominantly in infrared
B. Radiated energy would be predominantly in ultraviolet
C. Radiated energy would be predominantly in X-ray region
D. Radiated energy would become twice the present radiated energy
Answer» C. Radiated energy would be predominantly in X-ray region
480.

If V be the accelerating voltage, then the maximum frequency of continuous X-rays is given by [NCERT 1971; CPMT 1991;                                                 MP PET 2000; RPMT 2001; MP PMT 2002]

A. \[\frac{eh}{V}\]
B. \[\frac{hV}{e}\]
C. \[\frac{eV}{h}\]
D. \[\frac{h}{eV}\]
Answer» D. \[\frac{h}{eV}\]
481.

2 k mol of hydrogen at NTP expands isobarically to twice its initial volume. The change in its internal energy is \[({{C}_{v}}=10kJ/kg.K\]and atm pressure \[=1\times 105N/{{m}^{2}})\]

A. 10.9 MJ
B. 9.10 MJ
C. 109 MJ
D. 1.09 MJ
Answer» B. 9.10 MJ
482.

In above question the energy of the characteristic X-rays given out is                                     [IIT 1985]

A. Less than 40 keV
B. More than 40 keV
C. Equal to 40 keV
D. \[\ge \]40 keV
Answer» B. More than 40 keV
483.

A nucleus decays by \[{{\beta }^{+}}\] emission followed by a gamma emission. If the atomic and mass numbers of the parent nucleus are Z and A respectively, the corresponding numbers for the daughter nucleus are respectively.

A. \[Z-1\] and \[A-1\]
B. \[Z+1\] and \[A\]
C. \[Z-1\] and \[A\]
D. \[Z+1\] and
Answer» D. \[Z+1\] and
484.

What will be the final pressure if an ideal gas in a cylinder is compressed adiabatically to \[\frac{1}{3}rd\] of its volume?

A. Final pressure will be three times less than initial pressure.
B. Final pressure will be three times more than initial pressure.
C. Change in pressure will be more than three times the initial pressure.
D. Change in pressure will be less than three times the initial pressure.
Answer» D. Change in pressure will be less than three times the initial pressure.
485.

In Young's experiment, the distance between the slits is reduced to half and the distance between the slit and screen is doubled, then the fringe width [IIT 1981; MP PMT 1994; RPMT 1997; KCET 2000;  CPMT 2003; AMU (Engg.) 2000; DPMT 2003; UPSEAT 2000, 04; Kerala PMT 2004]

A. Will not change
B. Will become half
C. Will be doubled
D. Will become four times
Answer» E.
486.

The capacity of a condenser in which a dielectric of dielectric constant 5 has been used, is \[C\]. If the dielectric is replaced by another with dielectric constant 20, the capacity will become                                             [MP PMT 1996]

A. \[\frac{C}{4}\]
B. \[4C\]
C. \[\frac{C}{2}\]
D. \[2C\]
Answer» C. \[\frac{C}{2}\]
487.

In a certain double slit experimental arrangement interference fringes of width 1.0 mm each are observed when light of wavelength 5000 Å is used. Keeping the set up unaltered, if the source is replaced by another source of wavelength 6000 Å, the fringe width will be                [CPMT 1988]

A. 0.5 mm
B. 1.0 mm
C. 1.2 mm
D. 1.5 mm
Answer» D. 1.5 mm
488.

In Young's double slit experiment, if the slit widths are in the ratio 1 : 9, then the ratio of the intensity at minima to that at maxima will be                                                             [MP PET 1987]

A. 1
B. 1/9
C. 1/4
D. 1/3
Answer» D. 1/3
489.

The ratio of peak value and r.m.s value of an alternating current is                                           [MP PMT 2002]

A. 1
B. \[\frac{1}{2}\]
C. \[\sqrt{2}\]
D. \[1/\sqrt{2}\]
Answer» D. \[1/\sqrt{2}\]
490.

An object \[1cm\] tall is placed \[4cm\] infront of a mirror. In order to produce an upright image of \[3cm\] height one needs a                                                      [SCRA 1994]

A. Convex mirror of radius of curvature \[12cm\]
B. Concave mirror of radius of curvature \[12cm\]
C. Concave mirror of radius of curvature \[4cm\]
D. Plane mirror of height \[12cm\]
Answer» C. Concave mirror of radius of curvature \[4cm\]
491.

A convex mirror has a focal length\[f.\] A real object is placed at a distance \[f\] in front of it from the pole produces an image at                                                     [AFMC 2005]

A. Infinity
B. \[f\]
C. \[f/2\]
D. \[2f\]
Answer» D. \[2f\]
492.

Temperature of water at the surface of lake is \[-{{20}^{o}}C.\]Then temperature of water just below the lower surface of ice layer is                                                      [RPET2000]

A. \[-{{4}^{o}}C\]
B. \[{{0}^{o}}C\]
C. \[{{4}^{o}}C\]
D. \[-{{20}^{o}}C\]
Answer» C. \[{{4}^{o}}C\]
493.

The energy which an \[{{e}^{-}}\] acquires when accelerated through a potential difference of 1 volt is called           [UPSEAT 2000]

A. 1 Joule
B. 1 Electron volt
C. 1 Erg
D. 1 Watt.
Answer» C. 1 Erg
494.

A convex lens is made up of three different materials as shown in the figure. For a point object places on its axis, the number of images formed are:

A. 5
B. 1
C. 3
D. 4
Answer» D. 4
495.

Two converging lenses are placed 20.0 cm apart. as shown in figure. If the first lens has a focal length of 10.0 cm and the second has a focal length of 20.0 cm, locate the final image formed of an object 30.0 cm in front of the first lens.

A. 6.67 cm left
B. 6.67 cm right
C. 15.0 cm left
D. 15.0 cm right
Answer» B. 6.67 cm right
496.

A parallel beam of light is incident on a lens of focal length 10 cm. A parallel slab of refractive index 1.5 and thickness 3 cm is placed on the other side of the lens. The Nature of the final image from the lens slab combination is: (Assume rays paraaxial)

A. At Distance of 11 cm and Image is virtual if \[X=12\text{ }cm\]
B. At Distance of 11 cm and Image is virtual if \[X=14\text{ }cm\]
C. At the Distance of 11 cm and Image is Virtual if \[X=16\text{ }cm\]
D. All the above
Answer» E.
497.

If two light waves having same frequency have intensity ratio 4 : 1 and they interfere, the ratio of maximum to minimum intensity in the pattern will be  [BHU 1995; MP PMT 1995; DPMT 1999; CPMT 2003]

A. 9 : 1
B. 3 : 1
C. 25 : 9
D. 16 : 25
Answer» B. 3 : 1
498.

Two light sources are said to be coherent if they are obtained from                                         [MP PET 1996]

A. Two independent point sources emitting light of the same wavelength
B. A single point source
C. A wide source
D. Two ordinary bulbs emitting light of different wavelengths
Answer» C. A wide source
499.

Evidence for the wave nature of light cannot be obtained from                                                 [MP PET 1996]

A. Reflection
B. Doppler effect
C. Interference
D. Diffraction
Answer» B. Doppler effect
500.

The impurity atom added to germanium to make it N-type semiconductor is          [KCET 1993; KCET (Engg./Med.) 2000]

A. Arsenic
B. Iridium
C. Aluminium
D. Iodine
Answer» B. Iridium