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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.
951. |
In X-ray spectrum wavelength l of line \[{{K}_{\alpha }}\] depends on atomic number Z as [RPMT 1995; DCE 2002] |
A. | \[\lambda \propto {{Z}^{2}}\] |
B. | \[\lambda \propto {{(Z-1)}^{2}}\] |
C. | \[\lambda \propto \frac{1}{(Z-1)}\] |
D. | \[\lambda \propto \frac{1}{{{(Z-1)}^{2}}}\] |
Answer» E. | |
952. |
A 0.5 cm high object is placed at 30 cm from a convex mirror whose focal length is 20 cm. Find the position and size of the image. |
A. | 12 cm, 0.2 cm |
B. | 18 cm, 0.2 cm |
C. | 6 cm, 0.5 cm |
D. | 5 cm, 0.1 cm |
Answer» B. 18 cm, 0.2 cm | |
953. |
5 litre of benzene weighs [MNR 1996] |
A. | More in summer than in winter |
B. | More in winter than in summer |
C. | Equal in winter and summer |
D. | None of the above |
Answer» C. Equal in winter and summer | |
954. |
A spring with spring constant k is extended from \[x=0\]to\[x={{x}_{1}}\]. The work done will be [Orissa PMT 2004] |
A. | \[kx_{1}^{2}\] |
B. | \[\frac{1}{2}kx_{1}^{2}\] |
C. | \[2kx_{1}^{2}\] |
D. | \[2k{{x}_{1}}\] |
Answer» C. \[2kx_{1}^{2}\] | |
955. |
When the forward bias voltage of a diode is changed from \[0.6\text{ }V\] to \[0.7\text{ }V,\] the current changes from \[5\text{ }mA\] to\[15\text{ }mA\]. Then its forward bias resistance is |
A. | \[0.01\,\Omega \] |
B. | \[0.1\,\Omega \] |
C. | \[10\,\Omega \] |
D. | \[100\,\Omega \] |
Answer» D. \[100\,\Omega \] | |
956. |
In cold countries, water pipes sometimes burst, because |
A. | Pipe contracts |
B. | Water expands on freezing |
C. | When water freezes, pressure increases |
D. | When water freezes, it takes heat from pipes |
Answer» C. When water freezes, pressure increases | |
957. |
The potential barrier, in the depletion layer, is due to[EAMCET (Engg.) 1998; Pb. PMT 1999; Pb. PET 2001; AIIMS 2002] |
A. | Ions |
B. | Holes |
C. | Electrons |
D. | Both (b) and (c) |
Answer» B. Holes | |
958. |
A particle of mass m is executing oscillations about the origin on the X-axis with amplitude A. Its potential energy is given as \[U(x)=\alpha {{x}^{4}}\] where a is a positive constant. The x coordinate of the particle where the potential energy is one third of the kinetic energy is |
A. | \[\pm A/2\] |
B. | \[\pm A/\sqrt{2}\] |
C. | \[\pm A/3\] |
D. | \[\pm A/\sqrt{3}\] |
Answer» C. \[\pm A/3\] | |
959. |
A 10 micro-farad capacitor is charged to 500 V and then its plates are joined together through a resistance of 10 ohm. The heat produced in the resistance is [Orissa JEE 2003] |
A. | 500 J |
B. | 250 J |
C. | 125 J |
D. | 1.25 J |
Answer» E. | |
960. |
At what height over the earth's pole, the free fall acceleration decreases by one percent (assume the radius of earth to be 6400 km) [KCET 1994] |
A. | 32 km |
B. | 80 km |
C. | 1.253 km |
D. | 64 km |
Answer» B. 80 km | |
961. |
Assertion : A work done in moving a body over a closed loop is zero for every force in nature. Reason : Work done does not depend on nature of force. |
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. | |
962. |
In the sonometer experiment, a tuning fork of frequency 256 Hz is in resonance with 0.4 m length of the wire when the iron load attached to free end of wire is 2 kg. If the load is immersed in water, the length of the wire in resonance would be (specific gravity of iron = 8) 4 |
A. | 0.37 m |
B. | 0.43 m |
C. | 0.31 m |
D. | 0.2 m |
Answer» B. 0.43 m | |
963. |
A 12 ohm resistor and a 0.21 henry inductor are connected in series to an ac source operating at 20 volts, 50 cycle/second. The phase angle between the current and the source voltage is [BHU 1994] |
A. | 30° |
B. | 40° |
C. | 80° |
D. | 90° |
Answer» D. 90° | |
964. |
A 280 days old radioactive substance shows an activity of 6000 dps, 140 days later its activity becomes 3000 dps. What was its initial activity? |
A. | 20000 dps |
B. | 24000 dps |
C. | 12000 dps |
D. | 6000 dps |
Answer» C. 12000 dps | |
965. |
Beta rays emitted by a radioactive material are |
A. | Electromagnetic radiation |
B. | The electrons orbiting around the nucleus |
C. | Charged particles emitted by nucleus |
D. | Neutral particles |
Answer» D. Neutral particles | |
966. |
An archaeologist analyses the wood in a prehistoric structure and finds that \[{{C}^{14}}\](Half life = 5700 years) to \[{{C}^{12}}\]is only one- fourth of that found in the cells buried plants. The age of the wood is about |
A. | 5700 years |
B. | 2850 years |
C. | 11,400 years |
D. | 22,800 years |
Answer» D. 22,800 years | |
967. |
The average life T and the decay constant \[\lambda \] of a radioactive nucleus are related as |
A. | \[T\lambda =1\] |
B. | \[T=\frac{0.693}{\lambda }\] |
C. | \[\frac{T}{\lambda }=1\] |
D. | \[{{\lambda }_{1}},\ {{\lambda }_{2}},\ {{\lambda }_{3}}\] |
Answer» B. \[T=\frac{0.693}{\lambda }\] | |
968. |
Assertion : The ferromagnetic substance do not obey Curie?s law. Reason : At Curie point a ferromagnetic substance start behaving as a paramagnetic 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» C. If assertion is true but reason is false. | |
969. |
Assertion : A bar magnet is dropped into a long vertical copper tube. Even taking air resistance as negligible, the magnet attains a constant terminal velocity. If the tube is heated, the terminal velocity gets increased. Reason : The terminal velocity depends on eddy current produced in bar magnet. |
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. | |
970. |
To obtain electrons as majority charge carriers in a semiconductor, the impurity mixed is [MP PET 2000] |
A. | Monovalent |
B. | Divalent |
C. | Trivalent |
D. | Pentavalent |
Answer» E. | |
971. |
The heart of man pumps 5 liters of blood through the arteries per minute at a pressure of 150 mm of mercury. If the density of mercury be \[13.6\times 1{{0}^{3}}kg/{{m}^{3}}\]and \[\operatorname{g} = 10m/{{s}^{2}}\]then the power of heart in watt is: |
A. | 2.35 |
B. | 3.0 |
C. | 1.5 |
D. | 1.7 |
Answer» E. | |
972. |
A simple harmonic oscillator of angular frequency \[2\,rad\,{{s}^{-1}}\] is acted upon by an external force F = sin t N. If the oscillator is at rest in its equilibrium position at t = 0, its position at later times is given by: |
A. | \[\sin \,t+\frac{1}{2}\cos \,2t\] |
B. | \[\cos t-\frac{1}{2}\sin \,2t\] |
C. | \[\sin t-\frac{1}{2}\sin \,2t\] |
D. | \[\sin t+\frac{1}{2}\sin \,2t\] |
Answer» D. \[\sin t+\frac{1}{2}\sin \,2t\] | |
973. |
The relationship between Young's modulus Y, Bulk modulus K and modulus of rigidity \[\eta \] is [MP PET 1991; MP PMT 1997] |
A. | \[Y=\frac{9\eta K}{\eta +3K}\] |
B. | \[\frac{9YK}{Y+3K}\] |
C. | \[Y=\frac{9\eta K}{3+K}\] |
D. | \[Y=\frac{3\eta K}{9\eta +K}\] |
Answer» B. \[\frac{9YK}{Y+3K}\] | |
974. |
Which of the following is not reversible [Manipal MEE 1995; DPMT 2001] |
A. | Joule effect |
B. | Peltier effect |
C. | Seebeck effect |
D. | Thomson effect |
Answer» B. Peltier effect | |
975. |
If mass of \[A=10\,\,kg\], coefficient of static friction = 0.2, coefficient of kinetic friction = 0.2. Then mass of B to start motion is [Orissa PMT 2004] |
A. | 2 kg |
B. | 2.2 kg |
C. | 4.8 kg |
D. | 200 gm |
Answer» B. 2.2 kg | |
976. |
The amplification factor of a triode is 18 and its plate resistance is 8 ´ 103W. A load resistance of 104W is connected in the plate circuit. The voltage gain will be [RPMT 2002] |
A. | 30 |
B. | 20 |
C. | 10 |
D. | 1 |
Answer» D. 1 | |
977. |
Positive rays consists of [RPMT 1996, 2003] |
A. | Electrons |
B. | Neutrons |
C. | Positive ions |
D. | Electromagnetic waves |
Answer» D. Electromagnetic waves | |
978. |
The division of energy by time is X. The dimensional formula of X is same as that of |
A. | Momentum |
B. | power |
C. | Torque |
D. | electric field |
Answer» C. Torque | |
979. |
DIRECTION: Read the passage given below and answer the questions that follows:A brass ball of mass 100g is heated to \[100{}^\circ C\] and then dropped into 200g of turpentine in a calorimeter at \[15{}^\circ C\] The final temperature is found to be \[(\rho )\]. Take specific heat of brass as \[T=k\sqrt{\rho {{r}^{3}}/S}\] and water equivalent of calorimeter as 4g.Heat lost by the ball is approximately |
A. | 810 cal |
B. | 610 cal |
C. | 710 cal |
D. | 510 cal |
Answer» D. 510 cal | |
980. |
At \[15{}^\circ C,\] a wheel has diameter of 30 cm and inside diameter of a steel rim is 29.9 cm. Coefficient of thermal expansion of steel is \[1.2\times {{10}^{-5}}{{/}^{o}}C\]. To what temperature, the rim must be heated so that it can slip over wheel? |
A. | \[2787{}^\circ C\] |
B. | \[2772{}^\circ C\] |
C. | \[2529{}^\circ C\] |
D. | \[2802{}^\circ C\] |
Answer» E. | |
981. |
DIRECTION: Read the passage given below and answer the questions that follows: A brass ball of mass 100g is heated to \[100{}^\circ C\] and then dropped into 200g of turpentine in a calorimeter at \[15{}^\circ C\] The final temperature is found to be \[(\rho )\]. Take specific heat of brass as \[T=k\sqrt{\rho {{r}^{3}}/S}\] and water equivalent of calorimeter as 4g. Heat gained by turpentine and calorimeter is approximately |
A. | 810 cal |
B. | 610 cal |
C. | 710 cal |
D. | 510 cal |
Answer» D. 510 cal | |
982. |
Assertion : The rate of change of total momentum of a many particle system is proportional to the sum of the internal forces of the system. Reason : Internal forces can change the kinetic energy but not the momentum of the system. |
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. | |
983. |
In a bicycle, the radius of rear wheel is twice the radius of front wheel. It \[{{r}_{f}}\]and \[{{r}_{r}}\] are the radii and \[{{v}_{f}}\] and \[{{v}_{r}}\] are the speeds of topmost points of wheels then |
A. | \[{{v}_{r}}=2{{v}_{f}}\] |
B. | \[{{v}_{f}}=2{{v}_{r}}\] |
C. | \[{{v}_{f}}={{v}_{r}}\] |
D. | \[{{v}_{f}}=4{{v}_{r}}\] |
Answer» D. \[{{v}_{f}}=4{{v}_{r}}\] | |
984. |
The work done in pulling up a block of wood weighing 2 kN for a length of 10m on a smooth plane inclined at an angle of \[15{}^\circ \] with the horizontal is [AFMC 1999; Pb PMT 2003] |
A. | 4.36 kJ |
B. | 5.17 Kj |
C. | 8.91 kJ |
D. | 9.82 kJ |
Answer» C. 8.91 kJ | |
985. |
A spring with spring constant k when stretched through 1 cm, the potential energy is U. If it is stretched by 4 cm. The potential energy will be [Orissa PMT 2004] |
A. | 4U |
B. | 8U |
C. | 16 U |
D. | 2U |
Answer» D. 2U | |
986. |
A diminished virtual image can be formed only in [MP PMT 2002] |
A. | Plane mirror |
B. | A concave mirror |
C. | A convex mirror |
D. | Concave-parabolic mirror |
Answer» D. Concave-parabolic mirror | |
987. |
A convex mirror of focal length f forms an image which is \[\frac{1}{n}\] times the object. The distance of the object from the mirror is |
A. | \[(n-1)f\] |
B. | \[\left( \frac{n-1}{n} \right)f\] |
C. | \[\left( \frac{n+1}{n} \right)f\] |
D. | \[(n+1)f\] |
Answer» B. \[\left( \frac{n-1}{n} \right)f\] | |
988. |
For a thermocouple, the temperature of inversion is that temperature at which thermo e.m.f. is |
A. | Zero |
B. | Maximum |
C. | Minimum |
D. | None of the above |
Answer» B. Maximum | |
989. |
The surface tension for pure water in a capillary tube experiment is [MH CET 2002] |
A. | \[\frac{\rho g}{2hr}\] |
B. | \[\frac{2}{hr\rho g}\] |
C. | \[\frac{r\rho g}{2h}\] |
D. | \[\frac{hr\rho g}{2}\] |
Answer» E. | |
990. |
Assertion : Bending a wire does not effect electrical resistance. Reason : Resistance of wire is proportional to resistivity of material. |
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. | |
991. |
\[_{1}{{H}^{1}}{{+}_{1}}{{H}^{1}}{{+}_{1}}{{H}^{2}}\to X+{{\ }_{+1}}{{e}^{0}}+\]energy. The emitted particle is |
A. | Neutron |
B. | Proton |
C. | \[\alpha -\]particle |
D. | Neutrino |
Answer» D. Neutrino | |
992. |
A black body is at a temperature of 2880 K. The energy of radiation emitted by this object with wavelength between 499 nm and 500 nm is \[{{U}_{1}}\] between 999 nm and 1000 nm is \[{{\operatorname{U}}_{2}}\] and between 1499 nm and 1500 nm is \[{{\operatorname{U}}_{3}}\] Wien's constant \[\operatorname{b}=2.88\times {{10}^{6}}nm-K\]. Then |
A. | \[{{\operatorname{U}}_{1}}=0\] |
B. | \[{{\operatorname{U}}_{2}}=0\] |
C. | \[{{\operatorname{U}}_{1}}={{U}_{2}}\] |
D. | \[{{\operatorname{U}}_{2}}>{{U}_{1}}\] |
Answer» E. | |
993. |
In which of the following cases forces may not be required to keep the [AIIMS 1983] |
A. | Particle going in a circle |
B. | Particle going along a straight line |
C. | The momentum of the particle constant |
D. | Acceleration of the particle constant |
Answer» D. Acceleration of the particle constant | |
994. |
An ideal gas is initially at \[{{P}_{1}}\], \[{{V}_{1}}\] is expanded to\[{{P}_{2}}\], \[{{V}_{2}}\] and then compressed adiabatically to the same volume f[ and pressure \[{{P}_{3}}\] If W is the net work done by the gas in complete process which of the following is true? |
A. | \[W>0;{{P}_{3}}>{{P}_{1}}\] |
B. | \[W<0;{{P}_{3}}>{{P}_{1}}\] |
C. | \[W>0;{{P}_{3}}<{{P}_{1}}\] |
D. | \[W<0;{{P}_{3}}<{{P}_{1}}\] |
Answer» C. \[W>0;{{P}_{3}}<{{P}_{1}}\] | |
995. |
The pressure inside a tyre is 4 times that of atmosphere. If the tyre bursts suddenly at temperature 300 K, what will be the new temperature? |
A. | \[300\text{ }{{\left( 4 \right)}^{772}}\] |
B. | \[300\text{ }{{\left( 4 \right)}^{2/7}}\] |
C. | \[300\text{ }{{\left( 2 \right)}^{772}}\] |
D. | \[300{{\left( 4 \right)}^{-2/7}}\] |
Answer» E. | |
996. |
The grid voltage of any triode valve is changed from ?1 volt to ? 3 volt and the mutual conductance is \[3\times {{10}^{-4}}\]mho. The change in plate circuit current will be [MNR 1999] |
A. | 0.8 mA |
B. | 0.6 mA |
C. | 0.4 mA |
D. | 1 mA |
Answer» C. 0.4 mA | |
997. |
A man is carrying a block of a certain substance (of density 1000 \[kg{{m}^{-3}}\]) weighing 1 kg in his left hand and a bucket filled with water and weighing 10 kg in his right hand. He drops the block into the bucket. How much load does he carry in his right hand now [Manipal MEE 1995] |
A. | 9 kg |
B. | 10 kg |
C. | 11 kg |
D. | 12 kg |
Answer» D. 12 kg | |
998. |
Assertion : The speed of satellite always remains constant in an orbit. Reason : The speed of a satellite depends on its path. |
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. | |
999. |
Assertion : If a point charge q is placed in front of an infinite grounded conducting plane surface, the point charge will experience a force. Reason : This force is due to the induced charge on the conducting surface which is at zero potential. |
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. | |
1000. |
In an adiabatic process, the state of a gas is changed from \[{{P}_{1}},{{V}_{1}},{{T}_{1}},\] to \[{{P}_{2}},{{V}_{2}},{{T}_{2}}\]. Which of the following relation is correct [Orissa JEE 2003] |
A. | \[{{T}_{1}}{{V}_{1}}^{\gamma -1}={{T}_{2}}{{V}_{2}}^{\gamma -1}\] |
B. | \[{{P}_{1}}{{V}_{1}}^{\gamma -1}={{P}_{2}}{{V}_{2}}^{\gamma -1}\] |
C. | \[{{T}_{1}}{{P}_{1}}^{\gamma }={{T}_{2}}{{P}_{2}}^{\gamma }\] |
D. | \[{{T}_{1}}{{V}_{1}}^{\gamma }={{T}_{2}}{{V}_{2}}^{\gamma }\] |
Answer» B. \[{{P}_{1}}{{V}_{1}}^{\gamma -1}={{P}_{2}}{{V}_{2}}^{\gamma -1}\] | |