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MCQOPTIONS
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.
| 6751. |
A particle is executing S.H.M. Then the graph of acceleration as a function of displacement is |
| A. | A straight line |
| B. | A circle |
| C. | An ellipse |
| D. | A hyperbola |
| Answer» B. A circle | |
| 6752. |
The graph. Shown in the adjacent diagram, represents the variation of temperature (T) of two bodies, x and y having same surface area, with time (t) due to the emission of radiation. Find the correct relation between the emissivity (e) and absorptivity (a) of the two bodies [IIT-JEE (Screening) 2003] |
| A. | \[{{e}_{x}}>{{e}_{y}}\And \,\,\,{{a}_{x}}<{{a}_{y}}\] |
| B. | \[{{e}_{x}}<{{e}_{y}}\And \,\,\,{{a}_{x}}>{{a}_{y}}\] |
| C. | \[{{e}_{x}}>{{e}_{y}}\And \,\,\,{{a}_{x}}>{{a}_{y}}\] |
| D. | \[{{e}_{x}}<{{e}_{y}}\And \,\,\,{{a}_{x}}<{{a}_{y}}\] |
| Answer» D. \[{{e}_{x}}<{{e}_{y}}\And \,\,\,{{a}_{x}}<{{a}_{y}}\] | |
| 6753. |
The graph AB shown in figure is a plot of temperature of a body in degree celsius and degree Fahrenheit. Then |
| A. | Slope of line AB is 9/5 |
| B. | Slope of line AB is 5/9 |
| C. | Slope of line AB is 1/9 |
| D. | Slope of line AB is 3/9 |
| Answer» C. Slope of line AB is 1/9 | |
| 6754. |
A lead shot of 1mm diameter falls through a long column of glycerine. The variation of its velocity v. with distance covered is represented by [AIIMS 2003] |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» B. | |
| 6755. |
Point charge \[q\] moves from point \[P\] to point \[S\] along the path \[PQRS\] (figure shown) in a uniform electric field \[E\] pointing coparallel to the positive direction of the \[X-\]axis. The coordinates of the points \[P,\,Q,\,R\] and \[S\] are \[(a,\,b,\,0),\ (2a,\,0,\,0),\ (a,\,-b,\,0)\] and \[(0,\,0,\,0)\] respectively. The work done by the field in the above process is given by the expression [IIT 1989] |
| A. | \[qEa\] |
| B. | \[-qEa\] |
| C. | \[qEa\sqrt{2}\] |
| D. | \[qE\sqrt{[{{(2a)}^{2}}+{{b}^{2}}]}\] |
| Answer» C. \[qEa\sqrt{2}\] | |
| 6756. |
How many minimum number of coplanar vectors having different magnitudes can be added to give zero resultant |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 6757. |
The vector that must be added to the vector \[\hat{i}-3\hat{j}+2\hat{k}\] and \[3\hat{i}+6\hat{j}-7\hat{k}\] so that the resultant vector is a unit vector along the y-axis is |
| A. | \[4\hat{i}+2\hat{j}+5\hat{k}\] |
| B. | \[-4\hat{i}-2\hat{j}+5\hat{k}\] |
| C. | \[3\hat{i}+4\hat{j}+5\hat{k}\] |
| D. | Null vector |
| Answer» C. \[3\hat{i}+4\hat{j}+5\hat{k}\] | |
| 6758. |
If \[A=3\hat{i}+4\hat{j}\] and \[B=7\hat{i}+24\hat{j},\]the vector having the same magnitude as B and parallel to A is |
| A. | \[5\hat{i}+20\hat{j}\] |
| B. | \[15\hat{i}+10\hat{j}\] |
| C. | \[20\hat{i}+15\hat{j}\] |
| D. | \[15\hat{i}+20\hat{j}\] |
| Answer» E. | |
| 6759. |
Vector\[\overrightarrow{A}\] makes equal angles with x, y and z axis. Value of its components (in terms of magnitude of \[\overrightarrow{A}\]) will be |
| A. | \[\frac{A}{\sqrt{3}}\] |
| B. | \[\frac{A}{\sqrt{2}}\] |
| C. | \[\sqrt{3}\,A\] |
| D. | \[\frac{\sqrt{3}}{A}\] |
| Answer» B. \[\frac{A}{\sqrt{2}}\] | |
| 6760. |
The angle between the two vectors \[\vec{A}=3\hat{i}+4\hat{j}+5\hat{k}\] and \[\vec{B}=3\hat{i}+4\hat{j}-5\hat{k}\] will be [Pb. CET 2001] |
| A. | \[\text{9}0{}^\circ \] |
| B. | \[0{}^\circ \] |
| C. | \[\text{6}0{}^\circ \] |
| D. | \[\text{45}{}^\circ \] |
| Answer» B. \[0{}^\circ \] | |
| 6761. |
A force of 5 N acts on a particle along a direction making an angle of 60° with vertical. Its vertical component be |
| A. | 10 N |
| B. | 3 N |
| C. | 4 N |
| D. | 2.5 N |
| Answer» E. | |
| 6762. |
The component of vector \[A=2\hat{i}+3\hat{j}\]along the vector \[\hat{i}+\hat{j}\]is [KCET 1997] |
| A. | \[\frac{5}{\sqrt{2}}\] |
| B. | \[10\sqrt{2}\] |
| C. | \[5\sqrt{2}\] |
| D. | 5 |
| Answer» B. \[10\sqrt{2}\] | |
| 6763. |
Unit vector parallel to the resultant of vectors \[\vec{A}=4\hat{i}-3\hat{j}\]and \[\vec{B}=8\hat{i}+8\hat{j}\]will be [BHU 1995] |
| A. | \[\frac{24\hat{i}+5\hat{j}}{13}\] |
| B. | \[\frac{12\hat{i}+5\hat{j}}{13}\] |
| C. | \[\frac{6\hat{i}+5\hat{j}}{13}\] |
| D. | None of these |
| Answer» C. \[\frac{6\hat{i}+5\hat{j}}{13}\] | |
| 6764. |
The position vector of a particle is determined by the expression \[\vec{r}=3{{t}^{2}}\hat{i}+4{{t}^{2}}\hat{j}+7\hat{k}\] The distance traversed in first 10 sec is [DPMT 2002] |
| A. | 500 m |
| B. | 300 m |
| C. | 150 m |
| D. | 100 m |
| Answer» B. 300 m | |
| 6765. |
The angle between the two vectors\[\vec{A}=3\hat{i}+4\hat{j}+5\hat{k}\]and \[\vec{B}=3\hat{i}+4\hat{j}+5\hat{k}\] is [DPMT 2000] |
| A. | 60° |
| B. | Zero |
| C. | 90° |
| D. | None of these |
| Answer» E. | |
| 6766. |
With respect to a rectangular cartesian coordinate system, three vectors are expressed as \[\vec{a}=4\hat{i}-\hat{j}\], \[\vec{b}=-3\hat{i}+2\hat{j}\] and \[\vec{c}=-\hat{k}\] where \[\hat{i},\,\hat{j},\,\hat{k}\]are unit vectors, along the X, Y and Z-axis respectively. The unit vectors \[\hat{r}\]along the direction of sum of these vector is [Kerala CET (Engg.) 2003] |
| A. | \[\hat{r}=\frac{1}{\sqrt{3}}(\hat{i}+\hat{j}-\hat{k})\] |
| B. | \[\hat{r}=\frac{1}{\sqrt{2}}(\hat{i}+\hat{j}-\hat{k})\] |
| C. | \[\hat{r}=\frac{1}{3}(\hat{i}-\hat{j}+\hat{k})\] |
| D. | \[\hat{r}=\frac{1}{\sqrt{2}}(\hat{i}+\hat{j}+\hat{k})\] |
| Answer» B. \[\hat{r}=\frac{1}{\sqrt{2}}(\hat{i}+\hat{j}-\hat{k})\] | |
| 6767. |
The unit vector parallel to the resultant of the vectors \[\vec{A}=4\hat{i}+3\hat{j}+6\hat{k}\] and \[\vec{B}=-\hat{i}+3\hat{j}-8\hat{k}\] is [EAMCET 2000] |
| A. | \[\frac{1}{7}(3\hat{i}+6\hat{j}-2\hat{k})\] |
| B. | \[\frac{1}{7}(3\hat{i}+6\hat{j}+2\hat{k})\] |
| C. | \[\frac{1}{49}(3\hat{i}+6\hat{j}-2\hat{k})\] |
| D. | \[\frac{1}{49}(3\hat{i}-6\hat{j}+2\hat{k})\] |
| Answer» B. \[\frac{1}{7}(3\hat{i}+6\hat{j}+2\hat{k})\] | |
| 6768. |
Surface area is [J&K CET 2002] |
| A. | Scalar |
| B. | Vector |
| C. | Neither scalar nor vector |
| D. | Both scalar and vector |
| Answer» B. Vector | |
| 6769. |
A boy walks uniformally along the sides of a rectangular park of size 400 m× 300 m, starting from one corner to the other corner diagonally opposite. Which of the following statement is incorrect [HP PMT 1999] |
| A. | He has travelled a distance of 700 m |
| B. | His displacement is 700 m |
| C. | His displacement is 500 m |
| D. | His velocity is not uniform throughout the walk |
| Answer» C. His displacement is 500 m | |
| 6770. |
If a unit vector is represented by \[0.5\hat{i}+0.8\hat{j}+c\hat{k}\], then the value of ?c? is [CBSE PMT 1999; EAMCET 1994] |
| A. | 1 |
| B. | \[\sqrt{0.11}\] |
| C. | \[\sqrt{0.01}\] |
| D. | \[\sqrt{0.39}\] |
| Answer» C. \[\sqrt{0.01}\] | |
| 6771. |
Which of the following is a scalar quantity [AFMC 1998] |
| A. | Displacement |
| B. | Electric field |
| C. | Acceleration |
| D. | Work |
| Answer» E. | |
| 6772. |
The position vector of a particle is \[\vec{r}=(a\cos \omega t)\hat{i}+(a\sin \omega t)\hat{j}\]. The velocity of the particle is [CBSE PMT 1995] |
| A. | Parallel to the position vector |
| B. | Perpendicular to the position vector |
| C. | Directed towards the origin |
| D. | Directed away from the origin |
| Answer» C. Directed towards the origin | |
| 6773. |
If \[\vec{P}=\vec{Q}\]then which of the following is NOT correct |
| A. | \[\hat{P}=\hat{Q}\] |
| B. | \[|\,\vec{P}\,|\,=\,|\,\vec{Q}\,|\] |
| C. | \[P\hat{Q}=Q\hat{P}\] |
| D. | \[\vec{P}+\vec{Q}=\hat{P}+\hat{Q}\] |
| Answer» E. | |
| 6774. |
Which of the following is a vector |
| A. | Pressure |
| B. | Surface tension |
| C. | Moment of inertia |
| D. | None of these |
| Answer» E. | |
| 6775. |
Angular momentum is [MNR 1986] |
| A. | A scalar |
| B. | A polar vector |
| C. | An axial vector |
| D. | None of these |
| Answer» D. None of these | |
| 6776. |
Any vector in an arbitrary direction can always be replaced by two (or three) |
| A. | Parallel vectors which have the original vector as their resultant |
| B. | Mutually perpendicular vectors which have the original vector as their resultant |
| C. | Arbitrary vectors which have the original vector as their resultant |
| D. | It is not possible to resolve a vector |
| Answer» D. It is not possible to resolve a vector | |
| 6777. |
Five equal forces of 10 N each are applied at one point and all are lying in one plane. If the angles between them are equal, the resultant force will be [CBSE PMT 1995] |
| A. | Zero |
| B. | 10 N |
| C. | 20 N |
| D. | \[10\sqrt{2}N\] |
| Answer» B. 10 N | |
| 6778. |
The angle made by the vector \[A=\hat{i}+\hat{j}\] with x- axis is [EAMCET (Engg.) 1999] |
| A. | \[\text{9}0{}^\circ \] |
| B. | \[\text{45}{}^\circ \] |
| C. | \[\text{22}.\text{5}{}^\circ \] |
| D. | \[\text{3}0{}^\circ \] |
| Answer» C. \[\text{22}.\text{5}{}^\circ \] | |
| 6779. |
A vector is represented by \[3\,\hat{i}+\hat{j}+2\,\hat{k}\]. Its length in XY plane is [EAMCET (Engg.) 1994] |
| A. | 2 |
| B. | \[\sqrt{14}\] |
| C. | \[\sqrt{10}\] |
| D. | \[\sqrt{5}\] |
| Answer» D. \[\sqrt{5}\] | |
| 6780. |
The unit vector along \[\hat{i}+\hat{j}\] is |
| A. | \[\hat{k}\] |
| B. | \[\hat{i}+\hat{j}\] |
| C. | \[\frac{\hat{i}+\hat{j}}{\sqrt{2}}\] |
| D. | \[\frac{\hat{i}+\hat{j}}{2}\] |
| Answer» D. \[\frac{\hat{i}+\hat{j}}{2}\] | |
| 6781. |
Given vector \[\overrightarrow{A}=2\hat{i}+3\hat{j},\]the angle between \[\overrightarrow{A}\]and y-axis is [CPMT 1993] |
| A. | \[{{\tan }^{-1}}3/2\] |
| B. | \[{{\tan }^{-1}}2/3\] |
| C. | \[{{\sin }^{-1}}2/3\] |
| D. | \[{{\cos }^{-1}}2/3\] |
| Answer» C. \[{{\sin }^{-1}}2/3\] | |
| 6782. |
The expression \[\left( \frac{1}{\sqrt{2}}\hat{i}+\frac{1}{\sqrt{2}}\hat{j} \right)\] is a |
| A. | Unit vector |
| B. | Null vector |
| C. | Vector of magnitude \[\sqrt{2}\] |
| D. | Scalar |
| Answer» B. Null vector | |
| 6783. |
A hall has the dimensions \[10\,m\times 12\,m\times 14\,m.\]A fly starting at one corner ends up at a diametrically opposite corner. What is the magnitude of its displacement |
| A. | 17 m |
| B. | 26 m |
| C. | 36 m |
| D. | 20 m |
| Answer» E. | |
| 6784. |
The vector projection of a vector \[3\hat{i}+4\hat{k}\]on y-axis is [RPMT 2004] |
| A. | 5 |
| B. | 4 |
| C. | 3 |
| D. | Zero |
| Answer» E. | |
| 6785. |
100 coplanar forces each equal to 10 N act on a body. Each force makes angle \[\pi /50\]with the preceding force. What is the resultant of the forces |
| A. | 1000 N |
| B. | 500 N |
| C. | 250 N |
| D. | Zero |
| Answer» E. | |
| 6786. |
A circular coil of 20 turns and radius 10 cm is placed in uniform magnetic field of 0.10 T normal to the plane of the coil. If the current in coil is 5 A, then the torque acting on the coil will be [J & K CET 2005] |
| A. | 31.4 Nm |
| B. | 3.14 Nm |
| C. | 0.314 Nm |
| D. | Zero |
| Answer» E. | |
| 6787. |
Three long, straight parallel wires carrying current, are arranged as shown in figure. The force experienced by a 25 cm length of wire C is [KCET 2005] |
| A. | 10-3 N |
| B. | 2.5 ´ 10-3 N |
| C. | Zero |
| D. | 1.5 ´ 10-3 N |
| Answer» D. 1.5 ´ 10-3 N | |
| 6788. |
Two parallel wires are carrying electric currents of equal magnitude and in the same direction. They exert [CPMT 1990; MP PET/PMT 1988; Orissa JEE 2003; AFMC 2003] |
| A. | An attractive force on each other |
| B. | A repulsive force on each other |
| C. | No force on each other |
| D. | A rotational torque on each other |
| Answer» B. A repulsive force on each other | |
| 6789. |
Two thin, long, parallel wires, separated by a distance ?d? carry a current of ?i? A in the same direction. They will [AIEEE 2005] |
| A. | Attract each other with a force of \[{{\mu }_{0}}{{i}^{2}}/(2\pi {{d}^{2}})\] |
| B. | Repel each other with a force of \[{{\mu }_{0}}{{i}^{2}}/(2\pi {{d}^{2}})\] |
| C. | Attract each other with a force of \[{{\mu }_{0}}{{i}^{2}}/(2\pi d)\] |
| D. | Repel each other with a force of \[{{\mu }_{0}}{{i}^{2}}/(2\pi d)\] |
| Answer» D. Repel each other with a force of \[{{\mu }_{0}}{{i}^{2}}/(2\pi d)\] | |
| 6790. |
In ballistic galvanometer, the frame on which the coil is wound is non-metallic to [MH CET 2004] |
| A. | Avoid the production of induced e.m.f. |
| B. | Avoid the production of eddy currents |
| C. | Increase the production of eddy currents |
| D. | Increase the production of induced e.m.f. |
| Answer» C. Increase the production of eddy currents | |
| 6791. |
Current i is carried in a wire of length L. If the wire is turned into a circular coil, the maximum magnitude of torque in a given magnetic field B will be [Pb. PET 2004] |
| A. | \[\frac{Li{{B}^{2}}}{2}\] |
| B. | \[\frac{L{{i}^{2}}B}{2}\] |
| C. | \[\frac{{{L}^{2}}iB}{4\pi }\] |
| D. | \[\frac{L{{i}^{2}}B}{4\pi }\] |
| Answer» D. \[\frac{L{{i}^{2}}B}{4\pi }\] | |
| 6792. |
Two parallel wires of length 9 m each are separated by a distance 0.15 m. If they carry equal currents in the same direction and exerts a total force of 30 ´ 10?7 N on each other, then the value of current must be [MH CET 2003] |
| A. | 2.5 amp |
| B. | 3.5 amp |
| C. | 1.5 amp |
| D. | 0.5 amp |
| Answer» E. | |
| 6793. |
A beam of electrons and protons move parallel to each other in the same direction, then they [DCE 2004] |
| A. | Attract each other |
| B. | Repel each other |
| C. | No relation |
| D. | Neither attract nor repel |
| Answer» B. Repel each other | |
| 6794. |
A one metre long wire is lying at right angles to the magnetic field. A force of 1 kg wt. is acting on it in a magnetic field of 0.98 Tesla. The current flowing in it will be [J & K CET 2004] |
| A. | 100 A |
| B. | 10 A |
| C. | 1 A |
| D. | Zero |
| Answer» C. 1 A | |
| 6795. |
The resultant magnetic moment of neon atom will be [J & K CET 2004] |
| A. | Infinity |
| B. | mB |
| C. | Zero |
| D. | mB/2 |
| Answer» D. mB/2 | |
| 6796. |
Two long conductors, separated by a distance d carry current I1 and I2 in the same direction. They exert a force F on each other. Now the current in one of them is increased to two times and its directions is reversed. The distance is also increased to 3d. The new value of the force between them is [AIEEE 2004] |
| A. | ? 2F |
| B. | F/3 |
| C. | 2F/3 |
| D. | ? F/3 |
| Answer» D. ? F/3 | |
| 6797. |
There long straight wires A, B and C are carrying current as shown figure. Then the resultant force on B is directed ..... [KCET 2004] |
| A. | Towards A |
| B. | Towards C |
| C. | Perpendicular to the plane of paper and outward |
| D. | Perpendicular to the plane of paper and inward |
| Answer» C. Perpendicular to the plane of paper and outward | |
| 6798. |
Which is a vector quantity [AFMC 2003] |
| A. | Density |
| B. | Magnetic flux |
| C. | Intensity of magnetic field |
| D. | Magnetic potential |
| Answer» D. Magnetic potential | |
| 6799. |
A straight wire carrying a current \[{{i}_{1}}\,amp\] runs along the axis of a circular current \[{{i}_{2}}\,amp\]. Then the force of interaction between the two current carrying conductors is |
| A. | \[\infty \] |
| B. | Zero |
| C. | \[\frac{{{\mu }_{0}}}{4\pi }\frac{2{{i}_{1}}{{i}_{2}}}{r}N/m\] |
| D. | \[\frac{2{{i}_{1}}{{i}_{2}}}{r}N/m\] |
| Answer» C. \[\frac{{{\mu }_{0}}}{4\pi }\frac{2{{i}_{1}}{{i}_{2}}}{r}N/m\] | |
| 6800. |
Two long straight parallel conductors separated by a distance of 0.5m carry currents of 5A and 8A in the same direction. The force per unit length experienced by each other is [Kerala (Med.) 2002] |
| A. | \[1.6\times {{10}^{-5}}N\] (attractive) |
| B. | \[1.6\times {{10}^{-5}}N\] (repulsive) |
| C. | \[16\times {{10}^{-5}}N\] (attractive) |
| D. | \[16\times {{10}^{-5}}N\] (repulsive) |
| Answer» B. \[1.6\times {{10}^{-5}}N\] (repulsive) | |