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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.
| 7551. |
If two balls each of mass 0.06 kg moving in opposite directions with speed 4 m/s collide and rebound with the same speed, then the impulse imparted to each ball due to other is [AFMC 1998,2001] |
| A. | 0.48 kg-m/s |
| B. | 0.24 kg-m/s |
| C. | 0.81 kg-m/s |
| D. | Zero |
| Answer» B. 0.24 kg-m/s | |
| 7552. |
A billiard ball moving with a speed of 5 m/s collides with an identical ball originally at rest. If the first ball stops after collision, then the second ball will move forward with a speed of [SCRA 1998] |
| A. | \[10\,m{{s}^{-1}}\] |
| B. | \[5\,m{{s}^{-1}}\] |
| C. | \[2.5\,m{{s}^{-1}}\] |
| D. | \[1.0\,m{{s}^{-1}}\] |
| Answer» C. \[2.5\,m{{s}^{-1}}\] | |
| 7553. |
A ball of weight 0.1 kg coming with speed 30 m/s strikes with a bat and returns in opposite direction with speed 40 m/s, then the impulse is (Taking final velocity as positive) [AFMC 1997] |
| A. | \[-0.1\times (40)-0.1\times (30)\] |
| B. | \[0.1\times (40)-0.1\times (-30)\] |
| C. | \[0.1\times (40)+0.1\times (-30)\] |
| D. | \[0.1\times (40)-0.1\times (20)\] |
| Answer» C. \[0.1\times (40)+0.1\times (-30)\] | |
| 7554. |
A shell initially at rest explodes into two pieces of equal mass, then the two pieces will [CPMT 1982; EAMCET 1988; Orissa PMT 2004] |
| A. | Be at rest |
| B. | Move with different velocities in different directions |
| C. | Move with the same velocity in opposite directions |
| D. | Move with the same velocity in same direction |
| Answer» D. Move with the same velocity in same direction | |
| 7555. |
A body of mass 2 kg collides with a wall with speed 100 m/s and rebounds with same speed. If the time of contact was 1/50 second, the force exerted on the wall is [CPMT 1993] |
| A. | 8 N |
| B. | \[2\times {{10}^{4}}\,N\] |
| C. | 4 N |
| D. | \[{{10}^{4}}\,N\] |
| Answer» C. 4 N | |
| 7556. |
A body falls on a surface of coefficient of restitution 0.6 from a height of 1 m. Then the body rebounds to a height of [CPMT 1993; Pb. PET 2001] |
| A. | 0.6 m |
| B. | 0.4 m |
| C. | 1 m |
| D. | \[{{h}_{n}}=h{{e}^{2n}}\]\[=1\times {{e}^{2\times 1}}\]= \[1\times {{(0.6)}^{2}}=0.36m\] |
| Answer» E. | |
| 7557. |
A ball of mass 10 kg is moving with a velocity of 10 m/s. It strikes another ball of mass 5 kg which is moving in the same direction with a velocity of 4 m/s. If the collision is elastic, their velocities after the collision will be, respectively [CMEET Bihar 1995] |
| A. | 6 m/s, 12 m/s |
| B. | 12 m/s, 6 m/s |
| C. | 12 m/s, 10 m/s |
| D. | 12 m/s, 25 m/s |
| Answer» B. 12 m/s, 6 m/s | |
| 7558. |
At high altitude, a body explodes at rest into two equal fragments with one fragment receiving horizontal velocity of 10 m/s. Time taken by the two radius vectors connecting point of explosion to fragments to make 90° is [EAMCET (Engg.) 1995; DPMT 2000] |
| A. | 10 s |
| B. | 4 s |
| C. | 2 s |
| D. | 1 s |
| Answer» D. 1 s | |
| 7559. |
A metal ball falls from a height of 32 metre on a steel plate. If the coefficient of restitution is 0.5, to what height will the ball rise after second bounce [EAMCET 1994] |
| A. | 2 m |
| B. | 4 m |
| C. | 8 m |
| D. | 16 m |
| Answer» B. 4 m | |
| 7560. |
A rubber ball is dropped from a height of 5 m on a planet where the acceleration due to gravity is not known. On bouncing, it rises to 1.8 m. The ball loses its velocity on bouncing by a factor of [CBSE PMT 1998] |
| A. | 16/25 |
| B. | 2/5 |
| C. | 3/5 |
| D. | 9/25 |
| Answer» C. 3/5 | |
| 7561. |
Two equal masses \[{{m}_{1}}\] and \[{{m}_{2}}\] moving along the same straight line with velocities + 3 m/s and ? 5 m/s respectively collide elastically. Their velocities after the collision will be respectively [CBSE PMT 1994, 98; AIIMS 2000] |
| A. | + 4 m/s for both |
| B. | ? 3 m/s and +5 m/s |
| C. | ? 4 m/s and + 4 m/s |
| D. | ? 5 m/s and + 3 m/s |
| Answer» E. | |
| 7562. |
A shell of mass m moving with velocity v suddenly breaks into 2 pieces. The part having mass m/4 remains stationary. The velocity of the other shell will be [CPMT 1999] |
| A. | v |
| B. | 2v |
| C. | \[\frac{3}{4}v\] |
| D. | \[\frac{4}{3}v\] |
| Answer» E. | |
| 7563. |
A particle of mass m moving with horizontal speed 6 m/sec as shown in figure. If \[m |
| A. | 2m/sec in original direction |
| B. | 2 m/sec opposite to the original direction |
| C. | 4 m/sec opposite to the original direction |
| D. | 4 m/sec in original direction |
| Answer» B. 2 m/sec opposite to the original direction | |
| 7564. |
The principle of conservation of linear momentum can be strictly applied during a collision between two particles provided the time of impact is |
| A. | Extremely small |
| B. | Moderately small |
| C. | Extremely large |
| D. | Depends on a particular case |
| Answer» C. Extremely large | |
| 7565. |
A particle of mass m moving with a velocity \[\vec{V}\] makes a head on elastic collision with another particle of same mass initially at rest. The velocity of the first particle after the collision will be [MP PMT 1997; MP PET 2001; UPSEAT 2001] |
| A. | \[\vec{V}\] |
| B. | \[-\vec{V}\] |
| C. | \[-2\vec{V}\] |
| D. | Zero |
| Answer» E. | |
| 7566. |
A smooth sphere of mass M moving with velocity u directly collides elastically with another sphere of mass m at rest. After collision their final velocities are V and v respectively. The value of v is [MP PET 1995] |
| A. | \[\frac{2uM}{m}\] |
| B. | \[\frac{2um}{M}\] |
| C. | \[\frac{2u}{1+\frac{m}{M}}\] |
| D. | \[\frac{2u}{1+\frac{M}{m}}\] |
| Answer» D. \[\frac{2u}{1+\frac{M}{m}}\] | |
| 7567. |
A body of mass m having an initial velocity v, makes head on collision with a stationary body of mass M. After the collision, the body of mass m comes to rest and only the body having mass M moves. This will happen only when [MP PMT 1995] |
| A. | \[m>>M\] |
| B. | \[m<<M\] |
| C. | \[m=M\] |
| D. | \[m=\frac{1}{2}M\] |
| Answer» D. \[m=\frac{1}{2}M\] | |
| 7568. |
In an elastic collision of two particles the following is conserved [MP PET 1994; DPMT 2001] |
| A. | Momentum of each particle |
| B. | Speed of each particle |
| C. | Kinetic energy of each particle |
| D. | Total kinetic energy of both the particles |
| Answer» E. | |
| 7569. |
A gun fires a bullet of mass 50 gm with a velocity of \[30\,m\,{{\sec }^{-1}}\]. Because of this the gun is pushed back with a velocity of \[1\,m\,{{\sec }^{-1}}\]. The mass of the gun is [EAMCET 1989; AIIMS 2001] |
| A. | 15 kg |
| B. | 30 kg |
| C. | 1.5 kg |
| D. | 20 kg |
| Answer» D. 20 kg | |
| 7570. |
A body of mass ?M? collides against a wall with a velocity v and retraces its path with the same speed. The change in momentum is (take initial direction of velocity as positive) [EAMCET 1982] |
| A. | Zero |
| B. | 2Mv |
| C. | Mv |
| D. | ? 2 Mv |
| Answer» E. | |
| 7571. |
A heavy steel ball of mass greater than 1 kg moving with a speed of 2\[m\,{{\sec }^{-1}}\]collides head on with a stationary ping-pong ball of mass less than 0.1 gm. The collision is elastic. After the collision the ping-pong ball moves approximately with speed [EAMCET 1982] |
| A. | \[2\,m\,{{\sec }^{-1}}\] |
| B. | \[4\,m\,{{\sec }^{-1}}\] |
| C. | \[2\times {{10}^{4}}\,m\,{{\sec }^{-1}}\] |
| D. | \[2\times {{10}^{3}}\,m\,{{\sec }^{-1}}\] |
| Answer» C. \[2\times {{10}^{4}}\,m\,{{\sec }^{-1}}\] | |
| 7572. |
A body of mass 5 kg explodes at rest into three fragments with masses in the ratio 1 : 1 : 3. The fragments with equal masses fly in mutually perpendicular directions with speeds of 21 m/s. The velocity of the heaviest fragment will be [CBSE PMT 1991] |
| A. | 11.5 m/s |
| B. | 14.0 m/s |
| C. | 7.0 m/s |
| D. | 9.89 m/s |
| Answer» E. | |
| 7573. |
Two balls at same temperature collide. What is conserved [NCERT 1974; CPMT 1983; DCE 2004] |
| A. | Temperature |
| B. | Velocity |
| C. | Kinetic energy |
| D. | Momentum |
| Answer» E. | |
| 7574. |
The coefficient of restitution e for a perfectly elastic collision is [CBSE PMT 1988] |
| A. | 1 |
| B. | 0 |
| C. | \[\infty \] |
| D. | ? 1 |
| Answer» B. 0 | |
| 7575. |
The angle between the magnetic meridian and geographical meridian is called [MNR 1990; UPSEAT 1999, 2000; MP PMT 2000] |
| A. | Angle of dip |
| B. | Angle of declination |
| C. | Magnetic moment |
| D. | Power of magnetic field |
| Answer» C. Magnetic moment | |
| 7576. |
The vertical component of earth's magnetic field is zero at or The earth's magnetic field always has a vertical component except at the [NCERT 1980, 88; CPMT 1983; MP PMT 1996] |
| A. | Magnetic poles |
| B. | Geographical poles |
| C. | Every place |
| D. | Magnetic equator |
| Answer» E. | |
| 7577. |
At a certain place, the horizontal component of earth's magnetic field is \[\sqrt{3}\]times the vertical component. The angle of dip at that place is [MP PMT 1984, 85; AFMC 2000] |
| A. | \[60{}^\circ \] |
| B. | \[45{}^\circ \] |
| C. | \[90{}^\circ \] |
| D. | \[\begin{align} & 2rH \\ & {{\mu }_{0}}N \\ \end{align}\] |
| Answer» E. | |
| 7578. |
The correct relation is [CPMT 1986; MP PET 1981; AFMC 1996] |
| A. | \[B=\frac{{{B}_{V}}}{{{B}_{H}}}\] |
| B. | \[B={{B}_{V}}\times {{B}_{H}}\] |
| C. | \[|B|=\sqrt{B_{H}^{2}+B_{V}^{2}}\] |
| D. | \[B={{B}_{H}}+{{B}_{V}}\] (Where \[{{B}_{H}}=\]Horizontal component of earth's magnetic field; \[{{B}_{V}}\]= Vertical component of earth's magnetic field and B = Total intensity of earth's magnetic field) |
| Answer» D. \[B={{B}_{H}}+{{B}_{V}}\] (Where \[{{B}_{H}}=\]Horizontal component of earth's magnetic field; \[{{B}_{V}}\]= Vertical component of earth's magnetic field and B = Total intensity of earth's magnetic field) | |
| 7579. |
If magnetic lines of force are drawn by keeping magnet vertical, then number of neutral points will be [MP PMT 1985; CPMT 1985] |
| A. | One |
| B. | Two |
| C. | Four |
| D. | Five |
| Answer» B. Two | |
| 7580. |
At the magnetic poles of the earth, a compass needle will be [DCE 2003] |
| A. | Vertical |
| B. | Bent slightly |
| C. | Horizontal |
| D. | Inclined at 45o to the horizontal |
| Answer» C. Horizontal | |
| 7581. |
Let V and H be the vertical and horizontal components of earth's magnetic field at any point on earth. Near the north pole [UPSEAT 2004] |
| A. | \[V>>H\] |
| B. | \[V<<H\] |
| C. | \[V=H\] |
| D. | \[V=H=0\] |
| Answer» B. \[V<<H\] | |
| 7582. |
Isogonic lines on magnetic map will have [AFMC 2004] |
| A. | Zero angle of dip |
| B. | Zero angle of declination |
| C. | Same angle of declination |
| D. | Same angle of dip |
| Answer» D. Same angle of dip | |
| 7583. |
A current carrying coil is placed with its axis perpendicular to N-S direction. Let horizontal component of earth's magnetic field be Ho and magnetic field inside the loop is H. If a magnet is suspended inside the loop, it makes angle \[\theta \] with H. Then \[\theta \]= [Orissa PMT 2004] |
| A. | \[{{\tan }^{-1}}\left( \frac{{{H}_{0}}}{H} \right)\] |
| B. | \[{{\tan }^{-1}}\left( \frac{H}{{{H}_{0}}} \right)\] |
| C. | \[\cos e{{c}^{-1}}\left( \frac{H}{{{H}_{0}}} \right)\] |
| D. | \[{{\cot }^{-1}}\left( \frac{{{H}_{0}}}{H} \right)\] |
| Answer» B. \[{{\tan }^{-1}}\left( \frac{H}{{{H}_{0}}} \right)\] | |
| 7584. |
At which place, earth's magnetism become horizontal [AFMC 2004] |
| A. | Magnetic pole |
| B. | Geographical pole |
| C. | Magnetic meridian |
| D. | Magnetic equator |
| Answer» E. | |
| 7585. |
A bar magnet is situated on a table along east-west direction in the magnetic field of earth. The number of neutral points, where the magnetic field is zero, are [MP PMT 2004] |
| A. | 2 |
| B. | 0 |
| C. | 1 |
| D. | 4 |
| Answer» C. 1 | |
| 7586. |
The horizontal component of the earth's magnetic field is 0.22 Gauss and total magnetic field is 0.4 Gauss. The angle of dip. is [MP PMT 2004] |
| A. | \[{{\tan }^{-1}}\,(1)\] |
| B. | \[{{\tan }^{-1\,}}(\infty )\] |
| C. | \[{{\tan }^{-1\,}}(1.518)\] |
| D. | \[{{\tan }^{-1\,}}(\pi )\] |
| Answer» D. \[{{\tan }^{-1\,}}(\pi )\] | |
| 7587. |
Magnetic meridian is a [Orissa JEE 2002] |
| A. | Point |
| B. | Horizontal plane |
| C. | Vertical plane |
| D. | Line along N-S |
| Answer» D. Line along N-S | |
| 7588. |
At magnetic poles of earth, angle of dip is [CPMT 1977, 91; NCERT 1981; MP PET 1997; Pb PET 2002] |
| A. | Zero |
| B. | 45o |
| C. | 90o |
| D. | 180o |
| Answer» D. 180o | |
| 7589. |
The direction of the null points is on the equatorial line of a bar magnet, when the north pole of the magnet is pointing [AFMC 1999; Pb. PMT 2000; CPMT 2001; MH CET 2003] |
| A. | North |
| B. | South |
| C. | East |
| D. | West |
| Answer» B. South | |
| 7590. |
Which of the following relation is correct in magnetism [KCET (Engg./Med.) 2001] |
| A. | \[{{I}^{2}}={{V}^{2}}+{{H}^{2}}\] |
| B. | \[I=V+H\] |
| C. | \[V={{I}^{2}}+{{H}^{2}}\] |
| D. | \[{{V}^{2}}=I+H\] |
| Answer» B. \[I=V+H\] | |
| 7591. |
The value of angle of dip is zero at the magnetic equator because on it [MP PET 2001] |
| A. | V and H are equal |
| B. | The value of V and H is zero |
| C. | The value of V is zero |
| D. | The value of H is zero |
| Answer» D. The value of H is zero | |
| 7592. |
At a certain place the horizontal component of the earth?s magnetic field is B0 and the angle of dip is 45o. The total intensity of the field at that place will be [MP PET 2000; Pb PET 2003] |
| A. | B0 |
| B. | \[\sqrt{2}\,{{B}_{0}}\] |
| C. | 2 B0 |
| D. | \[B_{0}^{2}\] |
| Answer» C. 2 B0 | |
| 7593. |
Angle of dip is 90o at [AIIMS 1999] |
| A. | Poles |
| B. | Equator |
| C. | Both (a) and (b) |
| D. | None of these |
| Answer» B. Equator | |
| 7594. |
Two bar magnets with magnetic moments 2 M and M are fastened together at right angles to each other at their centres to form a crossed system, which can rotate freely about a vertical axis through the centre. The crossed system sets in earth?s magnetic field with magnet having magnetic moment 2M making and angle q with the magnetic meridian such that [AFMC 1999] |
| A. | \[\theta ={{\tan }^{-1}}\left( \frac{1}{\sqrt{3}} \right)\] |
| B. | \[\theta ={{\tan }^{-1}}\left( \sqrt{3} \right)\] |
| C. | \[\theta ={{\tan }^{-1}}\left( \frac{1}{2} \right)\] |
| D. | \[\theta ={{\tan }^{-1}}\left( \frac{3}{4} \right)\] |
| Answer» D. \[\theta ={{\tan }^{-1}}\left( \frac{3}{4} \right)\] | |
| 7595. |
Due to the earth's magnetic field, charged cosmic ray particles [CBSE PMT 1997] |
| A. | Require greater kinetic energy to reach the equator than the poles |
| B. | Require less kinetic energy to reach the equator than the poles |
| C. | Can never reach the equator |
| D. | Can never reach the poles |
| Answer» D. Can never reach the poles | |
| 7596. |
A short magnet of moment 6.75 Am2 produces a neutral point on its axis. If horizontal component of earth's magnetic field is \[5\times {{10}^{-5}}Wb/{{m}^{2}}\], then the distance of the neutral point should be [SCRA 1994] |
| A. | 10 cm |
| B. | 20 cm |
| C. | 30 cm |
| D. | 40 cm |
| Answer» D. 40 cm | |
| 7597. |
The magnetic field of earth is due to [JIPMER 1997] |
| A. | Motion and distribution of some material in and outside the earth |
| B. | Interaction of cosmic rays with the current of earth |
| C. | A magnetic dipole buried at the centre of the earth |
| D. | Induction effect of the sun |
| Answer» B. Interaction of cosmic rays with the current of earth | |
| 7598. |
The north pole of the earth's magnet is near the geographical [KCET 1994] |
| A. | South |
| B. | East |
| C. | West |
| D. | North |
| Answer» B. East | |
| 7599. |
A compass needle will show which one of the following directions at the earth's magnetic pole [KCET 1993, 94] |
| A. | Vertical |
| B. | No particular direction |
| C. | Bent at 45° to the vertical |
| D. | Horizontal |
| Answer» B. No particular direction | |
| 7600. |
The vertical component of the earth's magnetic field is zero at a place where the angle of dip is [MP PMT/PET 1998] |
| A. | 0° |
| B. | 45° |
| C. | 60° |
| D. | 90° |
| Answer» B. 45° | |