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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.
| 4751. |
A balloon is at a height of 81 m and is ascending upwards with a velocity of 12 m/s. A body of \[2kg\] weight is dropped from it. If \[g=10\,m/{{s}^{2}}\], the body will reach the surface of the earth in [MP PMT 1994] |
| A. | 1.5 s |
| B. | 4.025 s |
| C. | 5.4 s |
| D. | 6.75 s |
| Answer» D. 6.75 s | |
| 4752. |
A particle is dropped under gravity from rest from a height \[h(g=9.8\,m/{{\sec }^{2}})\] and it travels a distance \[9h/25\] in the last second, the height \[h\] is [MNR 1987] |
| A. | 100 m |
| B. | 122.5 m |
| C. | 145 m |
| D. | 167.5 m |
| Answer» C. 145 m | |
| 4753. |
A man in a balloon rising vertically with an acceleration of \[4.9\,m/{{\sec }^{2}}\] releases a ball 2 sec after the balloon is let go from the ground. The greatest height above the ground reached by the ball is \[(g=9.8\,m/{{\sec }^{2}})\] [MNR 1986] |
| A. | 14.7 m |
| B. | 19.6 m |
| C. | 9.8 m |
| D. | 24.5 m |
| Answer» B. 19.6 m | |
| 4754. |
A stone is dropped from a certain height which can reach the ground in 5 second. If the stone is stopped after 3 second of its fall and then allowed to fall again, then the time taken by the stone to reach the ground for the remaining distance is [MNR 1985] |
| A. | 2 sec |
| B. | 3 sec |
| C. | 4 sec |
| D. | None of these |
| Answer» D. None of these | |
| 4755. |
A body thrown with an initial speed of \[96\,ft/\sec \] reaches the ground after \[(g=32ft/{{\sec }^{2}})\] [EAMCET 1980] |
| A. | 3 sec |
| B. | 6 sec |
| C. | 12 sec |
| D. | 8 sec |
| Answer» C. 12 sec | |
| 4756. |
Two stones of different masses are dropped simultaneously from the top of a building [EAMCET 1978] |
| A. | Smaller stone hit the ground earlier |
| B. | Larger stone hit the ground earlier |
| C. | Both stones reach the ground simultaneously |
| D. | Which of the stones reach the ground earlier depends on the composition of the stone |
| Answer» D. Which of the stones reach the ground earlier depends on the composition of the stone | |
| 4757. |
A body falls from rest, its velocity at the end of first second is \[(g=32ft/\sec )\] [AFMC 1980] |
| A. | \[16\,\,ft/\sec \] |
| B. | \[32\,\,ft/\sec \] |
| C. | \[64\,\,ft/\sec \] |
| D. | \[24\,\,ft/\sec \] |
| Answer» C. \[64\,\,ft/\sec \] | |
| 4758. |
A ball is dropped on the floor from a height of 10 m. It rebounds to a height of 2.5 m. If the ball is in contact with the floor for 0.01 sec, the average acceleration during contact is [BHU 1997; CPMT 1997] |
| A. | 2100\[m/{{\sec }^{2}}\]downwards |
| B. | 2100\[m/{{\sec }^{2}}\]upwards |
| C. | 1400\[m/{{\sec }^{2}}\] |
| D. | 700\[m/{{\sec }^{2}}\] |
| Answer» C. 1400\[m/{{\sec }^{2}}\] | |
| 4759. |
A particle is projected up with an initial velocity of \[80ft/\sec \]. The ball will be at a height of \[96ft\] from the ground after [MP PMT 1985] |
| A. | 2.0 and 3.0 sec |
| B. | Only at 3.0 sec |
| C. | Only at 2.0 sec |
| D. | After 1 and 2 sec |
| Answer» B. Only at 3.0 sec | |
| 4760. |
A body is released from the top of a tower of height \[h\]. It takes \[v=\frac{1}{2}b{{t}^{2}}+{{v}_{0}}\] sec to reach the ground. Where will be the ball after time \[t/2\] sec [NCERT 1981; MP PMT 2004] |
| A. | At \[h/2\]from the ground |
| B. | At \[h/4\] from the ground |
| C. | Depends upon mass and volume of the body |
| D. | At \[3h/4\] from the ground |
| Answer» E. | |
| 4761. |
A mass m slips along the wall of a semispherical surface of radius R. The velocity at the bottom of the surface is [MP PMT 1993] |
| A. | \[\sqrt{Rg}\] |
| B. | \[\sqrt{2Rg}\] |
| C. | \[2\sqrt{\pi Rg}\] |
| D. | \[\sqrt{\pi Rg}\] |
| Answer» C. \[2\sqrt{\pi Rg}\] | |
| 4762. |
A stone dropped from the top of the tower touches the ground in 4 sec. The height of the tower is about [MP PET 1986; AFMC 1994; CPMT 1997; BHU 1998; DPMT 1999; RPET 1999; MH CET 2003] |
| A. | \[=\left[ 7\times 5+\frac{1}{2}4\times {{(5)}^{2}} \right]-\left[ 7\times 4+\frac{1}{2}4\times {{(4)}^{2}} \right]=25\ m\] |
| B. | \[40\,m\] |
| C. | \[20\,\,m\] |
| D. | \[160\,\,m\] |
| Answer» B. \[40\,m\] | |
| 4763. |
An object is projected upwards with a velocity of 100 \[m/s\]. It will strike the ground after (approximately) [NCERT 1981; AFMC 1995] |
| A. | 10 sec |
| B. | 20 sec |
| C. | 15 sec |
| D. | 5 sec |
| Answer» C. 15 sec | |
| 4764. |
A body is released from a great height and falls freely towards the earth. Another body is released from the same height exactly one second later. The separation between the two bodies, two seconds after the release of the second body is [CPMT 1983; Kerala PMT 2002] |
| A. | \[4.9\,m\] |
| B. | \[9.8\,m\] |
| C. | \[19.6\,m\] |
| D. | \[24.5\,m\] |
| Answer» E. | |
| 4765. |
A force of 750 N is applied to a block of mass 102 kg to prevent it from sliding on a plane with an inclination angle 30° with the horizontal. If the coefficients of static friction and kinetic friction between the block and the plane are 0.4 and 0.3 respectively, then the frictional force acting on the block is [SCRA 1994] |
| A. | 750 N |
| B. | 500 N |
| C. | 345 N |
| D. | 250 N |
| Answer» E. | |
| 4766. |
A box is placed on an inclined plane and has to be pushed down. The angle of inclination is [EAMCET 1994] |
| A. | Equal to angle of friction |
| B. | More than angle of friction |
| C. | Equal to angle of repose |
| D. | Less than angle of repose |
| Answer» E. | |
| 4767. |
The coefficient of friction between a body and the surface of an inclined plane at 45° is 0.5. If \[g=9.8\,m/{{s}^{2}}\], the acceleration of the body downwards in \[m/{{s}^{2}}\] is [EAMCET 1994] |
| A. | \[\frac{4.9}{\sqrt{2}}\] |
| B. | \[4.9\sqrt{2}\] |
| C. | \[19.6\sqrt{2}\] |
| D. | 4.9 |
| Answer» B. \[4.9\sqrt{2}\] | |
| 4768. |
Starting from rest, a body slides down a 45° inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is [CBSE PMT 1990] |
| A. | 0.33 |
| B. | 0.25 |
| C. | 0.75 |
| D. | 0.80 |
| Answer» D. 0.80 | |
| 4769. |
A given object takes n times as much time to slide down a\[45{}^\circ \]rough incline as it takes to slide down a perfectly smooth \[45{}^\circ \] incline. The coefficient of kinetic friction between the object and the incline is given by [RPET 1999; AMU 2000] |
| A. | \[\left( 1-\frac{1}{{{n}^{2}}} \right)\] |
| B. | \[\frac{1}{1-{{n}^{2}}}\] |
| C. | \[\sqrt{\left( 1-\frac{1}{{{n}^{2}}} \right)}\] |
| D. | \[\sqrt{\frac{1}{1-{{n}^{2}}}}\] |
| Answer» B. \[\frac{1}{1-{{n}^{2}}}\] | |
| 4770. |
A block is at rest on an inclined plane making an angle \[\alpha \] with the horizontal. As the angle \[\alpha \] of the incline is increased, the block starts slipping when the angle of inclination becomes \[\theta \]. The coefficient of static friction between the block and the surface of the inclined plane is or A body starts sliding down at an angle \[\theta \] to horizontal. Then coefficient of friction is equal to [CBSE PMT 1993] |
| A. | \[\sin \theta \] |
| B. | \[\cos \theta \] |
| C. | \[\tan \theta \] |
| D. | Independent of \[\theta \] |
| Answer» D. Independent of \[\theta \] | |
| 4771. |
A block is kept on an inclined plane of inclination q of length l. The velocity of particle at the bottom of inclined is (the coefficient of friction is m) |
| A. | \[\sqrt{2gl(\mu \cos \theta -\sin \theta )}\] |
| B. | \[\sqrt{2gl(\sin \theta -\mu \cos \theta )}\] |
| C. | \[\sqrt{2gl(\sin \theta +\mu \cos \theta )}\] |
| D. | \[\sqrt{2gl(\cos \theta +\mu \sin \theta )}\] |
| Answer» C. \[\sqrt{2gl(\sin \theta +\mu \cos \theta )}\] | |
| 4772. |
A body takes time t to reach the bottom of an inclined plane of angle q with the horizontal. If the plane is made rough, time taken now is 2t. The coefficient of friction of the rough surface is |
| A. | \[\frac{3}{4}\tan \theta \] |
| B. | \[\frac{2}{3}\tan \theta \] |
| C. | \[\frac{1}{4}\tan \theta \] |
| D. | \[\frac{1}{2}\tan \theta \] |
| Answer» B. \[\frac{2}{3}\tan \theta \] | |
| 4773. |
A block rests on a rough inclined plane making an angle of \[{{30}^{o}}\] with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictional force on the block is 10 N, the mass of the block (in kg) is (take \[g=10\,\,m/{{s}^{2}})\] [AIEEE 2004] |
| A. | 2.0 |
| B. | 4.0 |
| C. | 1.6 |
| D. | 2.5 |
| Answer» B. 4.0 | |
| 4774. |
A 2 kg mass starts from rest on an inclined smooth surface with inclination 30o and length 2 m. How much will it travel before coming to rest on a frictional surface with frictional coefficient of 0.25 [UPSEAT 2003] |
| A. | 4 m |
| B. | 6 m |
| C. | 8 m |
| D. | 2 m |
| Answer» B. 6 m | |
| 4775. |
When a body is placed on a rough plane inclined at an angle \[\theta \] to the horizontal, its acceleration is |
| A. | \[g(\sin \theta -\cos \theta )\] |
| B. | \[g(\sin \theta -\mu \cos \theta )\] |
| C. | \[g(\mu \sin \theta 1-\cos \theta )\] |
| D. | \[g\mu (\sin \theta -\cos \theta )\] |
| Answer» C. \[g(\mu \sin \theta 1-\cos \theta )\] | |
| 4776. |
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 | |
| 4777. |
A body of 5 kg weight kept on a rough inclined plane of angle 30o starts sliding with a constant velocity. Then the coefficient of friction is (assume g = 10 m/s2) [JIPMER 2002] |
| A. | \[1/\sqrt{3}\] |
| B. | \[2/\sqrt{3}\] |
| C. | \[\sqrt{3}\] |
| D. | \[2\sqrt{3}\] |
| Answer» B. \[2/\sqrt{3}\] | |
| 4778. |
A block of mass 10 kg is placed on an inclined plane. When the angle of inclination is 30o, the block just begins to slide down the plane. The force of static friction is [Kerala (Engg.) 2001] |
| A. | 10 kg wt |
| B. | 89 kg wt |
| C. | 49 kg wt |
| D. | 5 kg wt |
| Answer» E. | |
| 4779. |
A block of mass 1 kg slides down on a rough inclined plane of inclination \[{{60}^{o}}\] starting from its top. If the coefficient of kinetic friction is 0.5 and length of the plane is 1 m, then work done against friction is (Take\[g=\text{ }9.8m/{{s}^{2}}\]) [AFMC 2000; KCET 2001] |
| A. | 9.82 J |
| B. | 4.94 J |
| C. | 2.45J |
| D. | 1.96 J |
| Answer» D. 1.96 J | |
| 4780. |
A body of mass 10 kg is lying on a rough plane inclined at an angle of 30o to the horizontal and the coefficient of friction is 0.5. the minimum force required to pull the body up the plane is [JIPMER 2000] |
| A. | 914 N |
| B. | 91.4 N |
| C. | 9.14 N |
| D. | 0.914 N |
| Answer» C. 9.14 N | |
| 4781. |
A body is sliding down an inclined plane having coefficient of friction 0.5. If the normal reaction is twice that of the resultant downward force along the incline, the angle between the inclined plane and the horizontal is [EAMCET (Engg.) 2000] |
| A. | \[{{15}^{o}}\] |
| B. | \[{{30}^{o}}\] |
| C. | \[{{45}^{o}}\] |
| D. | \[{{60}^{o}}\] |
| Answer» D. \[{{60}^{o}}\] | |
| 4782. |
The upper half of an inclined plane of inclination q is perfectly smooth while the lower half is rough. A body starting from the rest at top comes back to rest at the bottom if the coefficient of friction for the lower half is given by [Pb. PMT 2000] |
| A. | \[\mu =\sin \theta \] |
| B. | \[\mu =cot\theta \] |
| C. | \[\mu =2\cos \theta \] |
| D. | \[\mu =\text{ }2\text{ }tan\theta \] |
| Answer» E. | |
| 4783. |
A brick of mass 2 kg begins to slide down on a plane inclined at an angle of 45o with the horizontal. The force of friction will be [CPMT 2000] |
| A. | \[19.6sin{{45}^{o}}\] |
| B. | \[19.6\text{ }cos\text{ }{{45}^{o}}\] |
| C. | \[9.8sin{{45}^{o}}\] |
| D. | \[9.8\text{ }cos\text{ }{{45}^{o}}\] |
| Answer» B. \[19.6\text{ }cos\text{ }{{45}^{o}}\] | |
| 4784. |
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. \[\sqrt{3}\] | |
| 4785. |
A body of mass 100 g is sliding from an inclined plane of inclination 30°. What is the frictional force experienced if \[\mu =1.7\] [BHU 1998] |
| A. | \[1.7\times \sqrt{2}\times \frac{1}{\sqrt{3}}N\] |
| B. | \[1.7\times \sqrt{3}\times \frac{1}{2}N\] |
| C. | \[1.7\times \sqrt{3}\,N\] |
| D. | \[1.7\times \sqrt{2}\times \frac{1}{3}N\] |
| Answer» C. \[1.7\times \sqrt{3}\,N\] | |
| 4786. |
A block is lying on an inclined plane which makes 60° with the horizontal. If coefficient of friction between block and plane is 0.25 and \[g=10\,m/{{s}^{2}}\], then acceleration of the block when it moves along the plane will be [RPET 1997] |
| A. | \[2.50\,m/{{s}^{2}}\] |
| B. | \[5.00\,m/{{s}^{2}}\] |
| C. | \[7.4\,m/{{s}^{2}}\] |
| D. | \[8.66\,m/{{s}^{2}}\] |
| Answer» D. \[8.66\,m/{{s}^{2}}\] | |
| 4787. |
An astronaut orbiting the earth in a circular orbit 120 km above the surface of earth, gently drops a spoon out of space-ship. The spoon will [NCERT 1971] |
| A. | Fall vertically down to the earth |
| B. | Move towards the moon |
| C. | Will move along with space-ship |
| D. | Will move in an irregular way then fall down to earth |
| Answer» D. Will move in an irregular way then fall down to earth | |
| 4788. |
The ratio of the K.E. required to be given to the satellite to escape earth's gravitational field to the K.E. required to be given so that the satellite moves in a circular orbit just above earth atmosphere is [NCERT 1975] |
| A. | One |
| B. | Two |
| C. | Half |
| D. | Infinity |
| Answer» C. Half | |
| 4789. |
A satellite which is geostationary in a particular orbit is taken to another orbit. Its distance from the centre of earth in new orbit is 2 times that of the earlier orbit. The time period in the second orbit is [NCERT 1984; MP PET 1997] |
| A. | 4.8 hours |
| B. | \[48\sqrt{2}\] hours |
| C. | 24 hours |
| D. | \[24\sqrt{2}\] hours |
| Answer» C. 24 hours | |
| 4790. |
A satellite of mass m is placed at a distance r from the centre of earth (mass M). The mechanical energy of the satellite is [J&K CET 2005] |
| A. | \[-\frac{GMm}{r}\] |
| B. | \[\frac{GMm}{r}\] |
| C. | \[\frac{GMm}{2r}\] |
| D. | \[-\frac{GMm}{2r}\] |
| Answer» E. | |
| 4791. |
A geostationary satellite is revolving around the earth. To make it escape from gravitational field of earth, is velocity must be increased [J&K CET 2005] |
| A. | 100% |
| B. | 41.4% |
| C. | 50% |
| D. | 59.6% |
| Answer» C. 50% | |
| 4792. |
To an astronaut in a spaceship, the sky appears [KCET 1994] |
| A. | Black |
| B. | White |
| C. | Green |
| D. | Blue |
| Answer» B. White | |
| 4793. |
If \[g\propto \frac{1}{{{R}^{3}}}\] (instead of \[\frac{1}{{{R}^{2}}}),\] then the relation between time period of a satellite near earth's surface and radius R will be [RPMT 2002] |
| A. | \[{{T}^{2}}\propto {{R}^{3}}\] |
| B. | \[T\propto {{R}^{2}}\] |
| C. | \[{{T}^{2}}\propto R\] |
| D. | \[T\propto R\] |
| Answer» C. \[{{T}^{2}}\propto R\] | |
| 4794. |
Two satellites A and B go round a planet in circular orbits having radii 4R and R, respectively. If the speed of satellite A is 3v, then speed of satellite B is [Pb. PET 2004] |
| A. | \[\frac{3v}{2}\] |
| B. | \[\frac{4v}{2}\] |
| C. | \[6v\] |
| D. | \[12v\] |
| Answer» D. \[12v\] | |
| 4795. |
A person sitting in a chair in a satellite feels weightless because [UPSEAT 2004] |
| A. | The earth does not attract the objects in a satellite |
| B. | The normal force by the chair on the person balances the earth's attraction |
| C. | The normal force is zero |
| D. | The person in satellite is not accelerated |
| Answer» D. The person in satellite is not accelerated | |
| 4796. |
A satellite moves round the earth in a circular orbit of radius R making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in 8 days. The radius of the orbit of the second satellite is [UPSEAT 2004] |
| A. | 8 R |
| B. | 4R |
| C. | 2R |
| D. | R |
| Answer» C. 2R | |
| 4797. |
Two satellites of masses \[{{m}_{1}}\] and \[{{m}_{2}}({{m}_{1}}>{{m}_{2}})\] are revolving round the earth in circular orbits of radius \[{{r}_{1}}\] and \[{{r}_{2}}({{r}_{1}}>{{r}_{2}})\] respectively. Which of the following statements is true regarding their speeds \[{{v}_{1}}\] and \[{{v}_{2}}\] ? [NCERT 1984; MNR 1995; BHU 1998] |
| A. | \[{{v}_{1}}={{v}_{2}}\] |
| B. | \[{{v}_{1}}<{{v}_{2}}\] |
| C. | \[{{v}_{1}}>{{v}_{2}}\] |
| D. | \[\frac{{{v}_{1}}}{{{r}_{1}}}=\frac{{{v}_{2}}}{{{r}_{2}}}\] |
| Answer» C. \[{{v}_{1}}>{{v}_{2}}\] | |
| 4798. |
The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to four times the previous value, the new time period will become [AIIMS 1995; AIEEE 2003] |
| A. | 20 hours |
| B. | 10 hours |
| C. | 80 hours |
| D. | 40 hours |
| Answer» E. | |
| 4799. |
Which of the following quantities does not depend upon the orbital radius of the satellite [DCE 2000,03] |
| A. | \[\frac{T}{R}\] |
| B. | \[\frac{{{T}^{2}}}{R}\] |
| C. | \[\frac{{{T}^{2}}}{{{R}^{2}}}\] |
| D. | \[\frac{{{T}^{2}}}{{{R}^{3}}}\] |
| Answer» E. | |
| 4800. |
If satellite is shifted towards the earth. Then time period of satellite will be [RPMT 2000] |
| A. | Increase |
| B. | Decrease |
| C. | Unchanged |
| D. | Nothing can be said |
| Answer» C. Unchanged | |