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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.
| 12051. |
The force required to just move a body up the inclined plane is double the force required to just prevent the body from sliding down the plane. The coefficient of friction is\[\mu \]. The inclination \[\theta \] of the plane is |
| A. | \[{{\tan }^{-1}}\mu \] |
| B. | \[{{\tan }^{-1}}\left( \mu /2 \right)\] |
| C. | \[{{\tan }^{-1}}2\mu \] |
| D. | \[{{\tan }^{-1}}3\mu \] |
| Answer» E. | |
| 12052. |
A uniform sphere of weight W and radius 5 cm is being held by a string as shown in the figure. The tension in the string will be: |
| A. | \[12\frac{W}{5}\] |
| B. | \[5\frac{W}{12}\] |
| C. | \[13\frac{W}{5}\] |
| D. | \[13\frac{W}{12}\] |
| Answer» E. | |
| 12053. |
A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 g is suspended from it but will break if the mass exceeds 25 kg. What is the maximum acceleration with which the monkey can climb up along the rope? \[\left( g=10\text{ }m/{{s}^{2}} \right)\] |
| A. | \[2.5\text{ }m/s\] |
| B. | \[5\text{ }m/{{s}^{2}}\] |
| C. | \[\text{10 }m/{{s}^{2}}\] |
| D. | \[\text{25 }m/{{s}^{2}}\] |
| Answer» B. \[5\text{ }m/{{s}^{2}}\] | |
| 12054. |
A 1 kg block and a 0.5 kg block move together on a horizontal frictionless surface. Each block exerts a force of 6 N on the other. The block move with a uniform acceleration of |
| A. | \[\,3\text{ }m{{s}^{-2}}\] |
| B. | \[\text{6 }m{{s}^{-2}}\] |
| C. | \[9\text{ }m{{s}^{-2}}\] |
| D. | \[\text{12 }m{{s}^{-2}}\] |
| Answer» E. | |
| 12055. |
Two blocks A and B of masses 3 m and m respectively are connected by a massless and inextensible string. The whole system is suspended by massless spring as shown in figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively: |
| A. | \[\frac{g}{3},g\] |
| B. | \[~g,\text{ }g\] |
| C. | \[\frac{g}{3},\frac{g}{3}\] |
| D. | \[g,\frac{g}{3}\] |
| Answer» B. \[~g,\text{ }g\] | |
| 12056. |
A satellite in a force free space sweeps stationary interplanetary dust at a rate\[\left( dM/dt \right)\,=av\]. The acceleration of satellite is |
| A. | \[\frac{-2\alpha {{v}^{2}}}{M}\] |
| B. | \[\frac{-\alpha {{v}^{2}}}{M}\] |
| C. | \[\frac{-\alpha {{v}^{2}}}{2M}\] |
| D. | \[-\alpha {{v}^{2}}\] |
| Answer» C. \[\frac{-\alpha {{v}^{2}}}{2M}\] | |
| 12057. |
A boy, sitting on the topmost birth in the compartment of a train which is just going to stop on the railway station, drops an apple aiming at the open hand of his brother situated vertically below his own hand at a distance of 2m. The apple will fall |
| A. | in the hand of his brother |
| B. | slightly away from the hand of his brother in the direction of motion of the train |
| C. | slightly away from the hand of his brother opposite to the direction of motion of the train |
| D. | None of the above |
| Answer» C. slightly away from the hand of his brother opposite to the direction of motion of the train | |
| 12058. |
A player stops a football weighting 0.5 kg which comes flying towards him with a velocity of 10m/ s. If the impact lasts for 1/50th sec. and the ball bounces back with a velocity of 15 m/s, then the average force involved is |
| A. | 250 N |
| B. | 1250 N |
| C. | 500 N |
| D. | 625 N |
| Answer» E. | |
| 12059. |
A particle of mass 0.3 kg subject to a force \[F=-kx\] with\[k=15\text{ }N/m\]. What will be its initial acceleration if it is released from a point 20 cm away from the origin? |
| A. | \[15\text{ }m/{{s}^{2}}\] |
| B. | \[3\text{ }m/{{s}^{2}}\] |
| C. | \[10\text{ }m/{{s}^{2}}\] |
| D. | \[5\text{ }m/{{s}^{2}}\] |
| Answer» D. \[5\text{ }m/{{s}^{2}}\] | |
| 12060. |
A force of 100 dynes acts on a mass of 5 gram for 10 sec. The velocity produced is [Pb. PET 2004] |
| A. | \[2000\,\,cm/\sec \] |
| B. | \[200\,\,cm/\sec \] |
| C. | \[20\,\,cm/\sec \] |
| D. | \[2\,\,cm/\sec \] |
| Answer» C. \[20\,\,cm/\sec \] | |
| 12061. |
A machine gun fires a bullet of mass 40 g with a velocity \[1200\,\,m{{s}^{-1}}.\] The man holding it can exert a maximum force of 144 N on the gun. How many bullets can he fire per second at the most [AIEEE 2004] |
| A. | One |
| B. | Four |
| C. | Two |
| D. | Three |
| Answer» E. | |
| 12062. |
A block of mass \[5\,kg\] is moving horizontally at a speed of 1.5 m/s. A perpendicular force of 5N acts on it for 4 sec. What will be the distance of the block from the point where the force started acting [Pb. PMT 2002] |
| A. | 10 m |
| B. | 8 m |
| C. | 6 m |
| D. | 2 m |
| Answer» B. 8 m | |
| 12063. |
A man measures time period of a pendulum \[(T)\] in stationary lift. If the lift moves upward with acceleration \[\frac{g}{4},\] then new time period will be [BHU 2001] |
| A. | \[\frac{2T}{\sqrt{5}}\] |
| B. | \[\frac{\sqrt{5}T}{2}\] |
| C. | \[\frac{\sqrt{5}}{2T}\] |
| D. | \[\frac{2}{\sqrt{5}T}\] |
| Answer» B. \[\frac{\sqrt{5}T}{2}\] | |
| 12064. |
A body of mass 2 kg moving on a horizontal surface with an initial velocity of 4 m/sec comes to rest after 2 sec. If one wants to keep this body moving on the same surface with a velocity of 4 m/sec, the force required is [NCERT 1977] |
| A. | 8 N |
| B. | 4 N |
| C. | Zero |
| D. | 2 N |
| Answer» C. Zero | |
| 12065. |
The time period of a simple pendulum measured inside a stationary lift is found to be T. If the lift starts accelerating upwards with an acceleration g/3, the time period is [EAMCET 1994; CMEET Bihar 1995; RPMT 2000] |
| A. | \[T\sqrt{3}\] |
| B. | \[T\sqrt{3}/2\] |
| C. | \[T/\sqrt{3}\] |
| D. | \[T/3\] |
| Answer» C. \[T/\sqrt{3}\] | |
| 12066. |
A 5000 kg rocket is set for vertical firing. The exhaust speed is \[800\,m{{s}^{-1}}\]. To give an initial upward acceleration of \[20\,m{{s}^{-2}}\], the amount of gas ejected per second to supply the needed thrust will be \[(g=10\,m{{s}^{-2}})\] [CBSE PMT 1998] |
| A. | \[127.5\,kg\,{{s}^{-1}}\] |
| B. | \[187.5\,kg\,{{s}^{-1}}\] |
| C. | \[185.5\,kg\,{{s}^{-1}}\] |
| D. | \[137.5\,kg\,{{s}^{-1}}\] |
| Answer» C. \[185.5\,kg\,{{s}^{-1}}\] | |
| 12067. |
A body of mass 4 kg weighs 4.8 kg when suspended in a moving lift. The acceleration of the lift is [Manipal MEE 1995] |
| A. | \[9.80\,m{{s}^{-2}}\] downwards |
| B. | 9.80\[m{{s}^{-2}}\] upwards |
| C. | 1.96\[m{{s}^{-2}}\] downwards |
| D. | 1.96\[m{{s}^{-2}}\] upwards |
| Answer» E. | |
| 12068. |
A machine gun is mounted on a 2000 kg car on a horizontal frictionless surface. At some instant the gun fires bullets of mass 10 gm with a velocity of 500 m/sec with respect to the car. The number of bullets fired per second is ten. The average thrust on the system is [CPMT 1971] |
| A. | 550 N |
| B. | 50 N |
| C. | 250 N |
| D. | 250 dyne |
| Answer» C. 250 N | |
| 12069. |
In the above question, the impulse acting on the object is [CPMT 1971] |
| A. | \[120\ newton\times \sec \] |
| B. | \[-120\ newtont\sec \] |
| C. | \[30\ newton\times \sec \] |
| D. | \[-30\ newton\times \sec \] |
| Answer» C. \[30\ newton\times \sec \] | |
| 12070. |
A solid disc of mass M is just held in air horizontally by throwing 40 stones per sec vertically upwards to strike the disc each with a velocity 6 \[m{{s}^{-1}}\]. If the mass of each stone is \[0.05kg\] what is the mass of the disc\[(g=10m{{s}^{-2}}\]) [Kerala (Engg.) 2001] |
| A. | \[1.2kg\] |
| B. | \[0.5kg\] |
| C. | \[20kg\] |
| D. | 3kg |
| Answer» B. \[0.5kg\] | |
| 12071. |
A particle moves in the xy-plane under the action of a force F such that the components of its linear momentum p at any time t are \[{{p}_{x}}=2\cos t\], \[{{p}_{y}}=2\sin t\]. The angle between F and p at time t is [MP PET 1996; UPSEAT 2000] |
| A. | \[90{}^\circ \] |
| B. | \[0{}^\circ \] |
| C. | \[180{}^\circ \] |
| D. | \[30{}^\circ \] |
| Answer» B. \[0{}^\circ \] | |
| 12072. |
The linear momentum p of a body moving in one dimension varies with time according to the equation \[p=a+b{{t}^{2}}\], where a and b are positive constants. The net force acting on the body is [MP PMT 1993] |
| A. | Proportional to \[{{t}^{2}}\] |
| B. | A constant |
| C. | Proportional to t |
| D. | Inversely proportional to t |
| Answer» D. Inversely proportional to t | |
| 12073. |
If a bullet of mass 5 gm moving with velocity 100 m /sec, penetrates the wooden block upto 6 cm. Then the average force imposed by the bullet on the block is [MP PMT 2003] |
| A. | 8300 N |
| B. | 417 N |
| C. | 830 N |
| D. | Zero |
| Answer» C. 830 N | |
| 12074. |
300 Joule of work is done in sliding up a 2 kg block on an inclined plane to a height of 10 metres. Taking value of acceleration due to gravity ?g? to be 10 m/s2, work done against friction is [MP PMT 2002] |
| A. | 100 J |
| B. | 200 J |
| C. | 300 J |
| D. | Zero |
| Answer» B. 200 J | |
| 12075. |
A body takes just twice the time as long to slide down a plane inclined at 30o to the horizontal as if the plane were frictionless. The coefficient of friction between the body and the plane is [JIPMER 1999] |
| A. | \[\frac{\sqrt{3}}{4}\] |
| B. | \[\sqrt{3}\] |
| C. | \[\frac{4}{3}\] |
| D. | \[\frac{3}{4}\] |
| Answer» B. \[\sqrt{3}\] | |
| 12076. |
When a body is lying on a rough inclined plane and does not move, the force of friction |
| A. | is equal to \[\mu R\] |
| B. | is less than \[\mu R\] |
| C. | is greater than \[\mu R\] |
| D. | is equal to R |
| Answer» C. is greater than \[\mu R\] | |
| 12077. |
Two masses 2 kg and 3 kg are attached to the end of the string passed over a pulley fixed at the top. The tension and acceleration are |
| A. | \[\frac{7g}{8};\,\frac{g}{8}\] |
| B. | \[\frac{21g}{8};\,\frac{g}{8}\] |
| C. | \[\frac{21g}{8};\,\frac{g}{5}\] |
| D. | \[\frac{12g}{5};\,\frac{g}{5}\] |
| Answer» E. | |
| 12078. |
Two masses M and M/2 are joint together by means of a light inextensible string passes over a frictionless pulley as shown in figure. When bigger mass is released the small one will ascend with an acceleration of [Kerala PET 2005] |
| A. | \[g/3\] |
| B. | \[3g/2\] |
| C. | \[g/2\] |
| D. | \[g\] |
| Answer» B. \[3g/2\] | |
| 12079. |
A light string passing over a smooth light pulley connects two blocks of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] (vertically). If the acceleration of the system is g/8 then the ratio of the masses is [AIEEE 2002] |
| A. | 8 : 1 |
| B. | 9 : 7 |
| C. | 4 : 3 |
| D. | 5 : 3 |
| Answer» C. 4 : 3 | |
| 12080. |
A block A of mass 7 kg is placed on a frictionless table. A thread tied to it passes over a frictionless pulley and carries a body B of mass 3 kg at the other end. The acceleration of the system is (given g = 10\[m{{s}^{-2}})\] [Kerala (Engg.) 2000] |
| A. | \[100\,m{{s}^{-2}}\] |
| B. | \[3m{{s}^{-2}}\] |
| C. | \[10m{{s}^{-2}}\] |
| D. | \[30m{{s}^{-2}}\] |
| Answer» C. \[10m{{s}^{-2}}\] | |
| 12081. |
A block of mass \[m\]is placed on a smooth wedge of inclination \[\theta \]. The whole system is accelerated horizontally .so that the block does not slip on the wedge. The force exerted by the wedge on the block (g is acceleration due to gravity) will be |
| A. | \[mg\,\cos \,\theta \] |
| B. | \[mg\,\sin \,\theta \] |
| C. | \[mg\] |
| D. | \[mg/\,\cos \,\theta \] |
| Answer» E. | |
| 12082. |
The figure shows the position-time \[(x-t)\] graph of one-dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is |
| A. | 0.4 Ns |
| B. | 0.8 Ns |
| C. | 1.6Ns |
| D. | 0.2 Ns |
| Answer» C. 1.6Ns | |
| 12083. |
Two small spheres each of mass m connected by a string of length \[2l\] are kept on a smooth horizontal surface. A vertical force F is applied at the middle of the string. What is maximum value of F for which the spheres do not lose contact with the surface? |
| A. | \[2mg\] |
| B. | \[mg\] |
| C. | \[\frac{3mg}{2}\] |
| D. | \[4mg\] |
| Answer» B. \[mg\] | |
| 12084. |
Consider the setup of a Ferris wheel in an amusement park. The wheel is turning in a counter clock wise manner. Contrary to the illustration, not all seats are aligned horizontally, i.e., parallel to the x-axis. Determine the orientation of the normal to seat as it passes point A. |
| A. | parallel to the x-axis |
| B. | in the first/third quadrants |
| C. | parallel to the y-axis |
| D. | in the second/fourth quadrants |
| Answer» E. | |
| 12085. |
Three masses of small size are attached by light inextensible strings of various lengths to a point 0 on the ceiling. All of the masses swing round in horizontal circles of various radii with the same angular frequency co (one such circle is drawn in the shown figure). Then pick up the correct statement. |
| A. | The vertical depth of each mass below point of suspension from ceiling is different. |
| B. | The radius of horizontal circular path of each mass is same. |
| C. | All masses revolve in the same horizontal plane. |
| D. | All the particles must have same mass. |
| Answer» D. All the particles must have same mass. | |
| 12086. |
Consider a car moving on a straight road with a speed of 100 m/s. The distance at which the car can be stopped is \[[{{\mu }_{k}}=0.5]\] |
| A. | 400m |
| B. | 100m |
| C. | 1000m |
| D. | 800m (Note: It should be minimum distance in which the car can be stopped.) |
| Answer» D. 800m (Note: It should be minimum distance in which the car can be stopped.) | |
| 12087. |
Assertion : A bullet is fired from a rifle. If the rifle recoils freely, the kinetic energy of rifle is more than that of the bullet. Reason : In the case of rifle bullet system the law of conservation of momentum violates. |
| 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. |
| Answer» E. | |
| 12088. |
Which one of the following statements is correct |
| A. | Rolling friction is greater than sliding friction |
| B. | Rolling friction is less than sliding friction |
| C. | Rolling friction is equal to sliding friction |
| D. | Rolling friction and sliding friction are same |
| Answer» C. Rolling friction is equal to sliding friction | |
| 12089. |
What is the maximum value of the force F such that the block shown in the arrangement, does not move [IIT-JEE Screening 2003] |
| A. | 20 N |
| B. | 10 N |
| C. | 12 N |
| D. | 15 N |
| Answer» B. 10 N | |
| 12090. |
Assertion : If two objects of different masses have same momentum, the lighter body possess greater velocity. Reason : For all bodies momentum always remains same. |
| 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. |
| Answer» D. If the assertion and reason both are false. | |
| 12091. |
A bullet mass 10 gm is fired from a gun of mass 1kg. If the recoil velocity is 5 m/s, the velocity of the muzzle is [Orissa JEE 2002] |
| A. | 0.05 m/s |
| B. | 5 m/s |
| C. | 50 m/s |
| D. | 500 m/s |
| Answer» E. | |
| 12092. |
A person sitting in an open car moving at constant velocity throws a ball vertically up into air. The ball falls [EAMCET (Med.) 1995; MH CET 2003;BCECE 2004] |
| A. | Outside the car |
| B. | In the car ahead of the person |
| C. | In the car to the side of the person |
| D. | Exactly in the hand which threw it up |
| Answer» E. | |
| 12093. |
A car travels the first half of a distance between two places at a speed of 30 km/hr and the second half of the distance at 50 km/hr. The average speed of the car for the whole journey is [Manipal MEE 1995; AFMC 1998] |
| A. | 42.5 km/hr |
| B. | 40.0 km/hr |
| C. | 37.5 km/hr |
| D. | 35.0 km/hr |
| Answer» D. 35.0 km/hr | |
| 12094. |
A car travels from A to B at a speed of \[20\,\,km/hr\] and returns at a speed of \[30\,\,km/hr\]. The average speed of the car for the whole journey is [MP PET 1985] |
| A. | \[25\,\,km/hr\] |
| B. | \[24\,\,km/hr\] |
| C. | \[50\,\,km/hr\] |
| D. | \[5\,\,km/hr\] |
| Answer» C. \[50\,\,km/hr\] | |
| 12095. |
A particle moves for 20 seconds with velocity 3 m/s and then velocity 4 m/s for another 20 seconds and finally moves with velocity 5 m/s for next 20 seconds. What is the average velocity of the particle [MH CET 2004] |
| A. | 3 m/s |
| B. | 4 m/s |
| C. | 5 m/s |
| D. | Zero |
| Answer» C. 5 m/s | |
| 12096. |
A 100 m long train is moving with a uniform velocity of 45 km/hr. The time taken by the train to cross a bridge of length 1 km is [BHU 2004] |
| A. | 58 s |
| B. | 68 s |
| C. | 78 s |
| D. | 88 s |
| Answer» E. | |
| 12097. |
Which of the following options is correct for the object having a straight line motion represented by the following graph [DCE 2004] |
| A. | The object moves with constantly increasing velocity from O to A and then it moves with constant velocity. |
| B. | Velocity of the object increases uniformly |
| C. | Average velocity is zero |
| D. | The graph shown is impossible |
| Answer» D. The graph shown is impossible | |
| 12098. |
A particle moves along a semicircle of radius 10m in 5 seconds. The average velocity of the particle is [Kerala (Engg.) 2001] |
| A. | \[2\pi \ m{{s}^{-1}}\] |
| B. | \[4\pi \ m{{s}^{-1}}\] |
| C. | \[2\ m{{s}^{-1}}\] |
| D. | \[4\ m{{s}^{-1}}\] |
| Answer» E. | |
| 12099. |
A boy sitting on the top most berth in the compartment of a train which is just going to stop on a railway station, drops an apple aiming at the open hand of his brother situated vertically below his hands at a distance of about 2 m. The apple will fall |
| A. | precisely in the hand of his brother |
| B. | slightly away from the hand of his brother in the direction of motion of the train |
| C. | slightly away from the hand of his brother in the direction opposite to the direction of motion of the train |
| D. | None of the above |
| Answer» C. slightly away from the hand of his brother in the direction opposite to the direction of motion of the train | |
| 12100. |
A point moves with uniform acceleration and \[{{v}_{1}},\text{ }{{v}_{2}},\text{ }{{v}_{3}}\] denote the average velocities in three successive intervals of time \[{{t}_{1}},\text{ }{{t}_{2}},\text{ }{{t}_{3}}\]. Which of the following relations is correct? |
| A. | \[({{v}_{1}}{{v}_{2}}):({{v}_{2}}{{v}_{3}})=({{t}_{1}}{{t}_{2}}):\text{(}{{t}_{2}}+{{t}_{3}})\] |
| B. | \[({{v}_{1}}{{v}_{2}}):({{v}_{2}}{{v}_{3}})=({{t}_{1}}+{{t}_{2}}):\text{(}{{t}_{2}}+{{t}_{3}})\] |
| C. | \[({{v}_{1}}{{v}_{2}}):({{v}_{2}}{{v}_{2}})=({{t}_{1}}-{{t}_{2}}):\text{(}{{t}_{2}}-{{t}_{3}})\] |
| D. | \[({{v}_{1}}{{v}_{2}}):({{v}_{2}}+{{v}_{3}})=({{t}_{1}}-{{t}_{2}}):\text{(}{{t}_{2}}+{{t}_{3}})\] |
| Answer» C. \[({{v}_{1}}{{v}_{2}}):({{v}_{2}}{{v}_{2}})=({{t}_{1}}-{{t}_{2}}):\text{(}{{t}_{2}}-{{t}_{3}})\] | |