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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.
| 4701. |
A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at 2 m/s2. He reaches the ground with a speed of 3 m/s. At what height, did he bail out? [AIEEE 2005] |
| A. | 293 m |
| B. | 111 m |
| C. | 91 m |
| D. | 182 m |
| Answer» B. 111 m | |
| 4702. |
A body is thrown vertically upwards with velocity u. The distance travelled by it in the fifth and the sixth seconds are equal. The velocity u is given by (g = 9.8 m/s2) [UPSEAT 2004] |
| A. | 24.5 m/s |
| B. | 49.0 m/s |
| C. | 73.5 m/s |
| D. | 98.0 m/s |
| Answer» C. 73.5 m/s | |
| 4703. |
A body, thrown upwards with some velocity reaches the maximum height of 50 m. Another body with double the mass thrown up with double the initial velocity will reach a maximum height of [BHU 2004] |
| A. | 100 m |
| B. | 200 m |
| C. | 300 m |
| D. | 400 m |
| Answer» C. 300 m | |
| 4704. |
The effective acceleration of a body, when thrown upwards with acceleration a will be : [Pb. PMT 2004] |
| A. | \[\sqrt{a-{{g}^{2}}}\] |
| B. | \[\sqrt{{{a}^{2}}+{{g}^{2}}}\] |
| C. | \[(a-g)\] |
| D. | \[(a+g)\] |
| Answer» D. \[(a+g)\] | |
| 4705. |
A packet is dropped from a balloon which is going upwards with the velocity 12 m/s, the velocity of the packet after 2 seconds will be [Pb PMT 2004] |
| A. | ?12 m/s |
| B. | 12 m/s |
| C. | ?7.6 m/s |
| D. | 7.6 m/s |
| Answer» D. 7.6 m/s | |
| 4706. |
If a freely falling body travels in the last second a distance equal to the distance travelled by it in the first three second, the time of the travel is [Pb. PMT 2004; MH CET 2003] |
| A. | 6 sec |
| B. | 5 sec |
| C. | 4 sec |
| D. | 3 sec |
| Answer» C. 4 sec | |
| 4707. |
Two balls of same size but the density of one is greater than that of the other are dropped from the same height, then which ball will reach the earth first (air resistance is negligible) [J & K CET 2004] |
| A. | Heavy ball |
| B. | Light ball |
| C. | Both simultaneously |
| D. | Will depend upon the density of the balls |
| Answer» D. Will depend upon the density of the balls | |
| 4708. |
A ball is released from the top of a tower of height h meters. It takes T seconds to reach the ground. What is the position of the ball in T/3 seconds [AIEEE 2004] |
| A. | h/9 meters from the ground |
| B. | 7h/9 meters from the ground |
| C. | 8h/9 meters from the ground |
| D. | 17h/18 meters from the ground |
| Answer» D. 17h/18 meters from the ground | |
| 4709. |
An iron ball and a wooden ball of the same radius are released from the same height in vacuum. They take the same time to reach the ground. The reason for this is |
| A. | Acceleration due to gravity in vacuum is same irrespective of the size and mass of the body |
| B. | Acceleration due to gravity in vacuum depends upon the mass of the body |
| C. | There is no acceleration due to gravity in vacuum |
| D. | In vacuum there is a resistance offered to the motion of the body and this resistance depends upon the mass of the body |
| Answer» B. Acceleration due to gravity in vacuum depends upon the mass of the body | |
| 4710. |
If a body is thrown up with the velocity of 15 m/s then maximum height attained by the body is (g = 10 m/s2) [MP PMT 2003] |
| A. | 11.25 m |
| B. | 16.2 m |
| C. | 24.5 m |
| D. | 7.62 m |
| Answer» B. 16.2 m | |
| 4711. |
A body falls from rest in the gravitational field of the earth. The distance travelled in the fifth second of its motion is \[(g=10m/{{s}^{2}})\] [MP PET 2003] |
| A. | 25m |
| B. | 45m |
| C. | 90m |
| D. | 125m |
| Answer» C. 90m | |
| 4712. |
The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of \[2m\] on the surface of A. What is the height of jump by the same person on the planet B [CBSE PMT 2003] |
| A. | 18m |
| B. | 6m |
| C. | \[\frac{2}{3}m\] |
| D. | \[\frac{2}{9}m\] |
| Answer» B. 6m | |
| 4713. |
Two balls are dropped from heights \[h\] and \[2h\] respectively from the earth surface. The ratio of time of these balls to reach the earth is [CPMT 2003] |
| A. | \[1:\sqrt{2}\] |
| B. | \[\sqrt{2}\] : 1 |
| C. | 2 : 1 |
| D. | 1 : 4 |
| Answer» B. \[\sqrt{2}\] : 1 | |
| 4714. |
A man drops a ball downside from the roof of a tower of height 400 meters. At the same time another ball is thrown upside with a velocity 50 meter/sec. from the surface of the tower, then they will meet at which height from the surface of the tower [CPMT 2003] |
| A. | 100 meters |
| B. | 320 meters |
| C. | 80 meters |
| D. | 240 meters |
| Answer» D. 240 meters | |
| 4715. |
A body falls from a height \[h=200m\] (at New Delhi). The ratio of distance travelled in each 2 sec during t = 0 to \[t=6\] second of the journey is [BHU 2003; CPMT 2004] |
| A. | 1 : 4 : 9 |
| B. | 1 : 2 : 4 |
| C. | 1 : 3 : 5 |
| D. | 1 : 2 : 3 |
| Answer» D. 1 : 2 : 3 | |
| 4716. |
A very large number of balls are thrown vertically upwards in quick succession in such a way that the next ball is thrown when the previous one is at the maximum height. If the maximum height is 5m, the number of ball thrown per minute is (take \[g=10\,m{{s}^{-2}}\]) [KCET 2002] |
| A. | 120 |
| B. | 80 |
| C. | 60 |
| D. | 40 |
| Answer» D. 40 | |
| 4717. |
A cricket ball is thrown up with a speed of 19.6 ms?1. The maximum height it can reach is [Kerala PMT 2002] |
| A. | 9.8 m |
| B. | 19.6 m |
| C. | 29.4 m |
| D. | 39.2 m |
| Answer» C. 29.4 m | |
| 4718. |
A stone is dropped into water from a bridge \[44.1\]\[m\] above the water. Another stone is thrown vertically downward 1 sec later. Both strike the water simultaneously. What was the initial speed of the second stone |
| A. | \[12.25\,\,m/s\] |
| B. | \[14.75\,\,m/s\] |
| C. | \[16.23\,\,m/s\] |
| D. | \[17.15\,\,m/s\] |
| Answer» B. \[14.75\,\,m/s\] | |
| 4719. |
A ball is dropped from top of a tower of 100m height. Simultaneously another ball was thrown upward from bottom of the tower with a speed of 50 m/s (\[g=10m/{{s}^{2}})\]. They will cross each other after [Orissa JEE 2002] |
| A. | \[1s\] |
| B. | \[2s\] |
| C. | \[3s\] |
| D. | \[4s\] |
| Answer» C. \[3s\] | |
| 4720. |
Two balls A and B of same masses are thrown from the top of the building. A, thrown upward with velocity V and B, thrown downward with velocity V, then [AIEEE 2002] |
| A. | Velocity of A is more than B at the ground |
| B. | Velocity of B is more than A at the ground |
| C. | Both A & B strike the ground with same velocity |
| D. | None of these |
| Answer» D. None of these | |
| 4721. |
From the top of a tower, a particle is thrown vertically downwards with a velocity of 10 m/s. The ratio of the distances, covered by it in the 3rd and 2nd seconds of the motion is (Take \[g=10m/{{s}^{2}}\]) [AIIMS 2000; CBSE PMT 2002] |
| A. | 5 : 7 |
| B. | 7 : 5 |
| C. | 3 : 6 |
| D. | 6 : 3 |
| Answer» C. 3 : 6 | |
| 4722. |
A particle when thrown, moves such that it passes from same height at 2 and 10s, the height is [UPSEAT 2001] |
| A. | \[g\] |
| B. | \[2g\] |
| C. | \[5g\] |
| D. | \[10g\] |
| Answer» E. | |
| 4723. |
A man throws a ball vertically upward and it rises through 20 m and returns to his hands. What was the initial velocity \[(u)\] of the ball and for how much time \[(T)\] it remained in the air \[[g=10m/{{s}^{2}}]\] [MP PET 2001] |
| A. | u = 10 m/s, T = 2s |
| B. | u = 10 m/s, T = 4s |
| C. | u = 20 m/s, T = 2s |
| D. | u = 20 m/s, T = 4s |
| Answer» E. | |
| 4724. |
A body is thrown vertically upwards with a velocity \[u\]. Find the true statement from the following [Kerala 2001] |
| A. | Both velocity and acceleration are zero at its highest point |
| B. | Velocity is maximum and acceleration is zero at the highest point |
| C. | Velocity is maximum and acceleration is \[g\] downwards at its highest point |
| D. | Velocity is zero at the highest point and maximum height reached is \[{{u}^{2}}/2g\] |
| Answer» E. | |
| 4725. |
A balloon starts rising from the ground with an acceleration of 1.25 m/s2 after 8s, a stone is released from the balloon. The stone will (\[g=10\] m/s2) [KCET 2001] |
| A. | Reach the ground in 4 second |
| B. | Begin to move down after being released |
| C. | Have a displacement of 50 m |
| D. | Cover a distance of 40 m in reaching the ground |
| Answer» B. Begin to move down after being released | |
| 4726. |
A body, thrown upwards with some velocity, reaches the maximum height of 20m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height of [KCET 2001] |
| A. | 200 m |
| B. | 16 m |
| C. | 80 m |
| D. | 40 m |
| Answer» D. 40 m | |
| 4727. |
A particle is thrown vertically upwards. If its velocity at half of the maximum height is 10 m/s, then maximum height attained by it is (Take \[g=10\] m/s2) [CBSE PMT 2001, 2004] |
| A. | 8 m |
| B. | 10 m |
| C. | 12 m |
| D. | 16 m |
| Answer» C. 12 m | |
| 4728. |
A body falls freely from rest. It covers as much distance in the last second of its motion as covered in the first three seconds. The body has fallen for a time of [MNR 1998] |
| A. | \[3\,\,s\] |
| B. | \[5\,s\] |
| C. | \[7\,s\] |
| D. | \[9\,s\] |
| Answer» C. \[7\,s\] | |
| 4729. |
A body thrown vertically upwards with an initial velocity \[u\] reaches maximum height in 6 seconds. The ratio of the distances travelled by the body in the first second and the seventh second is [EAMCET (Engg.) 2000] |
| A. | 1 : 1 |
| B. | 11 : 1 |
| C. | 1 : 2 |
| D. | 1 : 11 |
| Answer» C. 1 : 2 | |
| 4730. |
A body is thrown vertically up from the ground. It reaches a maximum height of 100m in 5sec. After what time it will reach the ground from the maximum height position [Pb. PMT 2000] |
| A. | 1.2 sec |
| B. | 5 sec |
| C. | 10 sec |
| D. | 25 sec |
| Answer» C. 10 sec | |
| 4731. |
Time taken by an object falling from rest to cover the height of \[{{h}_{1}}\] and \[{{h}_{2}}\] is respectively \[{{t}_{1}}\] and \[{{t}_{2}}\] then the ratio of \[{{t}_{1}}\] to \[{{t}_{2}}\] is [RPMT 1999; RPET 2002] |
| A. | \[{{h}_{1}}\ :\ {{h}_{2}}\] |
| B. | \[\sqrt{{{h}_{1}}}\ :\ \sqrt{{{h}_{2}}}\] |
| C. | \[{{h}_{1}}\ :\ 2{{h}_{2}}\] |
| D. | 2h1 : h2 |
| Answer» C. \[{{h}_{1}}\ :\ 2{{h}_{2}}\] | |
| 4732. |
A body projected vertically upwards with a velocity \[u\] returns to the starting point in 4 seconds. If \[g=10\]m/sec2, the value of \[u\] is [KCET 1999] |
| A. | 5 m/sec |
| B. | 10 m/sec |
| C. | 15 m/sec |
| D. | 20 m/sec |
| Answer» E. | |
| 4733. |
Velocity of a body on reaching the point from which it was projected upwards, is [AIIMS 1999; Pb. PMT 1999] |
| A. | \[v=0\] |
| B. | \[v=2u\] |
| C. | \[v=0.5u\] |
| D. | \[v=u\] |
| Answer» E. | |
| 4734. |
The time taken by a block of wood (initially at rest) to slide down a smooth inclined plane 9.8 m long (angle of inclination is \[{{30}^{o}}\]) is [JIPMER 1999] |
| A. | \[\frac{1}{2}\sec \] |
| B. | 2 sec |
| C. | 4 sec |
| D. | 1 sec |
| Answer» C. 4 sec | |
| 4735. |
A body freely falling from the rest has a velocity ?v? after it falls through a height ?h?. The distance it has to fall down for its velocity to become double, is [BHU 1999] |
| A. | \[2h\] |
| B. | \[4h\] |
| C. | \[6h\] |
| D. | \[8h\] |
| Answer» C. \[6h\] | |
| 4736. |
A ball is dropped downwards. After 1 second another ball is dropped downwards from the same point. What is the distance between them after 3 seconds [BHU 1998] |
| A. | 25 m |
| B. | 20 m |
| C. | 50 m |
| D. | 9.8 m |
| Answer» B. 20 m | |
| 4737. |
A stone is shot straight upward with a speed of 20 m/sec from a tower 200 m high. The speed with which it strikes the ground is approximately [AMU (Engg.) 1999] |
| A. | 60 m/sec |
| B. | 65 m/sec |
| C. | 70 m/sec |
| D. | 75 m/sec |
| Answer» C. 70 m/sec | |
| 4738. |
Two bodies of different masses \[{{m}_{a}}\] and \[{{m}_{b}}\] are dropped from two different heights \[a\] and \[b\]. The ratio of the time taken by the two to cover these distances are [NCERT 1972; MP PMT 1993] |
| A. | \[a:b\] |
| B. | \[b:a\] |
| C. | \[\sqrt{a}:\sqrt{b}\] |
| D. | \[{{a}^{2}}:{{b}^{2}}\] |
| Answer» D. \[{{a}^{2}}:{{b}^{2}}\] | |
| 4739. |
A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the top [BHU 1998] |
| A. | 1 s |
| B. | 2 s |
| C. | 4 s |
| D. | 16 s |
| Answer» C. 4 s | |
| 4740. |
With what velocity a ball be projected vertically so that the distance covered by it in 5th second is twice the distance it covers in its 6th second \[(g=10\,m/{{s}^{2}})\] [CPMT 1997; MH CET 2000] |
| A. | 58.8 m/s |
| B. | 49 m/s |
| C. | 65 m/s |
| D. | 19.6 m/s |
| Answer» D. 19.6 m/s | |
| 4741. |
A ball of mass \[{{m}_{1}}\] and another ball of mass \[{{m}_{2}}\] are dropped from equal height. If time taken by the balls are \[{{t}_{1}}\] and \[{{t}_{2}}\] respectively, then [BHU 1997] |
| A. | \[{{t}_{1}}=\frac{{{t}_{2}}}{2}\] |
| B. | \[{{t}_{1}}={{t}_{2}}\] |
| C. | \[{{t}_{1}}=4{{t}_{2}}\] |
| D. | \[{{t}_{1}}=\frac{{{t}_{2}}}{4}\] |
| Answer» C. \[{{t}_{1}}=4{{t}_{2}}\] | |
| 4742. |
A body dropped from a height \[h\] with an initial speed zero, strikes the ground with a velocity\[3\,km/h\]. Another body of same mass is dropped from the same height \[h\] with an initial speed \[-{u}'=4km/h\] . Find the final velocity of second body with which it strikes the ground [CBSE PMT 1996] |
| A. | 3 km/h |
| B. | 4 km/h |
| C. | 5 km/h |
| D. | 12 km/h |
| Answer» D. 12 km/h | |
| 4743. |
A body falling for 2 seconds covers a distance \[S\] equal to that covered in next second. Taking \[g=10\,m/{{s}^{2}},\,S=\] [EAMCET (Engg.) 1995] |
| A. | 30 m |
| B. | 10 m |
| C. | 60 m |
| D. | 20 m |
| Answer» B. 10 m | |
| 4744. |
A body is projected up with a speed \['u'\] and the time taken by it is \[T\] to reach the maximum height \[H\]. Pick out the correct statement [EAMCET (Engg.) 1995] |
| A. | It reaches \[H/2\] in \[T/2\] sec |
| B. | It acquires velocity \[u/2\] in \[T/2\sec \] |
| C. | Its velocity is \[u/2\] at \[H/2\] |
| D. | Same velocity at \[2T\] |
| Answer» C. Its velocity is \[u/2\] at \[H/2\] | |
| 4745. |
\[P,\,Q\] and \[R\] are three balloons ascending with velocities \[U,\,4U\] and \[8U\] respectively. If stones of the same mass be dropped from each, when they are at the same height, then [ISM Dhanbad 1994] |
| A. | They reach the ground at the same time |
| B. | Stone from \[P\] reaches the ground first |
| C. | Stone from \[R\] reaches the ground first |
| D. | Stone from \[Q\] reaches the ground first |
| Answer» C. Stone from \[R\] reaches the ground first | |
| 4746. |
A bullet is fired with a speed of \[1000\,\,m/\sec \] in order to hit a target 100 m away. If \[g=10\,\,m/{{s}^{2}}\], the gun should be aimed [MP PET 1996] |
| A. | Directly towards the target |
| B. | 5 cm above the target |
| C. | 10 cm above the target |
| D. | 15 cm above the target |
| Answer» C. 10 cm above the target | |
| 4747. |
A body starts to fall freely under gravity. The distances covered by it in first, second and third second are in ratio [MP PET 1997; RPET 2001] |
| A. | \[1:3:5\] |
| B. | \[1:2:3\] |
| C. | \[1:4:9\] |
| D. | \[1:5:6\] |
| Answer» B. \[1:2:3\] | |
| 4748. |
A rocket is fired upward from the earth's surface such that it creates an acceleration of 19.6 m/sec2. If after 5 sec its engine is switched off, the maximum height of the rocket from earth's surface would be [MP PET 1995] |
| A. | 245 m |
| B. | 490 m |
| C. | 980 m |
| D. | 735 m |
| Answer» E. | |
| 4749. |
A ball is thrown vertically upwards from the top of a tower at \[4.9\,\,m{{s}^{-1}}\]. It strikes the pond near the base of the tower after 3 seconds. The height of the tower is [Manipal MEE 1995] |
| A. | 73.5 m |
| B. | 44.1 m |
| C. | 29.4 m |
| D. | None of these |
| Answer» D. None of these | |
| 4750. |
An aeroplane is moving with a velocity \[u\]. It drops a packet from a height \[h\]. The time \[t\] taken by the packet in reaching the ground will be |
| A. | \[\sqrt{\left( \frac{2g}{h} \right)}\] |
| B. | \[\sqrt{\left( \frac{2u}{g} \right)}\] |
| C. | \[\sqrt{\left( \frac{h}{2g} \right)}\] |
| D. | \[\sqrt{\left( \frac{2h}{g} \right)}\] |
| Answer» E. | |