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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.
| 4451. |
The displacement of a particle is proportional to the cube of time elapsed. How does the acceleration of the particle depends on time obtained [Pb. PET 2001] |
| A. | \[a\propto {{t}^{2}}\] |
| B. | \[a\propto 2t\] |
| C. | \[a\propto {{t}^{3}}\] |
| D. | \[a\propto t\] |
| Answer» E. | |
| 4452. |
An object accelerates from rest to a velocity 27.5 m/s in 10 sec then find distance covered by object in next 10 sec [BCECE 2004] |
| A. | 550 m |
| B. | 137.5 m |
| C. | 412.5 m |
| D. | 275 m |
| Answer» D. 275 m | |
| 4453. |
A car starts from rest and moves with uniform acceleration a on a straight road from time t = 0 to t = T. After that, a constant deceleration brings it to rest. In this process the average speed of the car is [MP PMT 2004] |
| A. | \[\frac{aT}{4}\] |
| B. | \[\frac{3aT}{2}\] |
| C. | \[\frac{aT}{2}\] |
| D. | \[aT\] |
| Answer» D. \[aT\] | |
| 4454. |
A particle moves along X-axis in such a way that its coordinate X varies with time \[t\] according to the equation \[x=(2-5t+6{{t}^{2}})\,m\]. The initial velocity of the particle is [MNR 1987; MP PET 1996; Pb. PET 2004] |
| A. | \[-5\,m/s\] |
| B. | \[6\,m/s\] |
| C. | \[-3\,m/s\] |
| D. | \[3\,m/s\] |
| Answer» B. \[6\,m/s\] | |
| 4455. |
A body A moves with a uniform acceleration \[a\] and zero initial velocity. Another body B, starts from the same point moves in the same direction with a constant velocity \[v\]. The two bodies meet after a time \[t\]. The value of \[t\] is [MP PET 2003] |
| A. | \[\frac{2v}{a}\] |
| B. | \[\frac{v}{a}\] |
| C. | \[\frac{v}{2a}\] |
| D. | \[\sqrt{\frac{v}{2a}}\] |
| Answer» B. \[\frac{v}{a}\] | |
| 4456. |
A body is moving from rest under constant acceleration and let \[{{S}_{1}}\] be the displacement in the first \[(p-1)\] sec and \[{{S}_{2}}\] be the displacement in the first \[p\,\sec .\] The displacement in \[{{({{p}^{2}}-p+1)}^{th}}\] sec. will be |
| A. | \[{{S}_{1}}+{{S}_{2}}\] |
| B. | \[{{S}_{1}}{{S}_{2}}\] |
| C. | \[{{S}_{1}}-{{S}_{2}}\] |
| D. | \[{{S}_{1}}/{{S}_{2}}\] |
| Answer» B. \[{{S}_{1}}{{S}_{2}}\] | |
| 4457. |
A student is standing at a distance of 50metres from the bus. As soon as the bus begins its motion with an acceleration of 1ms?2, the student starts running towards the bus with a uniform velocity \[u\]. Assuming the motion to be along a straight road, the minimum value of \[u\], so that the student is able to catch the bus is [KCET 2003] |
| A. | 5 ms?1 |
| B. | 8 ms?1 |
| C. | 10 ms?1 |
| D. | 12 ms?1 |
| Answer» D. 12 ms?1 | |
| 4458. |
The path of a particle moving under the influence of a force fixed in magnitude and direction is [MP PET 2002] |
| A. | Straight line |
| B. | Circle |
| C. | Parabola |
| D. | Ellipse |
| Answer» B. Circle | |
| 4459. |
A body of 5 kg is moving with a velocity of 20 m/s. If a force of 100N is applied on it for 10s in the same direction as its velocity, what will now be the velocity of the body [MP PMT 2000; RPET 2001] |
| A. | 200 m/s |
| B. | 220 m/s |
| C. | 240 m/s |
| D. | 260 m/s |
| Answer» C. 240 m/s | |
| 4460. |
A particle starts from rest, accelerates at 2 m/s2 for 10s and then goes for constant speed for 30s and then decelerates at 4 m/s2 till it stops. What is the distance travelled by it [DCE 2001; AIIMS 2002; DCE 2003] |
| A. | 750 m |
| B. | 800 m |
| C. | 700 m |
| D. | 850 m |
| Answer» B. 800 m | |
| 4461. |
The velocity of a bullet is reduced from 200m/s to 100m/s while travelling through a wooden block of thickness 10cm. The retardation, assuming it to be uniform, will be [AIIMS 2001] |
| A. | \[10\times {{10}^{4}}\] m/s2 |
| B. | \[12\times {{10}^{4}}\] m/s2 |
| C. | \[13.5\times {{10}^{4}}\] m/s2 |
| D. | \[15\times {{10}^{4}}\] m/s2 |
| Answer» E. | |
| 4462. |
The displacement of a particle, moving in a straight line, is given by \[s=2{{t}^{2}}+2t+4\] where \[s\] is in metres and \[t\] in seconds. The acceleration of the particle is [CPMT 2001] |
| A. | 2 m/s2 |
| B. | 4 m/s2 |
| C. | 6 m/s2 |
| D. | 8 m/s2 |
| Answer» C. 6 m/s2 | |
| 4463. |
The position of a particle moving along the x-axis at certain times is given below : t (s) 0 1 2 3 x (m) ?2 0 6 16 Which of the following describes the motion correctly [AMU (Engg.) 2001] |
| A. | Uniform, accelerated |
| B. | Uniform, decelerated |
| C. | Non-uniform, accelerated |
| D. | There is not enough data for generalization |
| Answer» D. There is not enough data for generalization | |
| 4464. |
Equation of displacement for any particle is \[s=3{{t}^{3}}+7{{t}^{2}}+14t+8m\]. Its acceleration at time \[t=1\] sec is [CBSE PMT 2000] |
| A. | 10 m/s2 |
| B. | 16 m/s2 |
| C. | 25 m/s2 |
| D. | 32 m/s2 |
| Answer» E. | |
| 4465. |
The instantaneous velocity of a body can be measured |
| A. | Graphically |
| B. | Vectorially |
| C. | By speedometer |
| D. | None of these |
| Answer» D. None of these | |
| 4466. |
The average velocity of a body moving with uniform acceleration travelling a distance of 3.06 m is 0.34 ms?1. If the change in velocity of the body is 0.18ms?1 during this time, its uniform acceleration is [EAMCET (Med.) 2000] |
| A. | 0.01 ms?2 |
| B. | 0.02 ms?2 |
| C. | 0.03 ms?2 |
| D. | 0.04 ms?2 |
| Answer» C. 0.03 ms?2 | |
| 4467. |
A constant force acts on a body of mass 0.9 kg at rest for 10s. If the body moves a distance of 250 m, the magnitude of the force is [EAMCET (Engg.) 2000] |
| A. | \[3N\] |
| B. | \[3.5N\] |
| C. | \[4.0N\] |
| D. | \[4.5N\] |
| Answer» E. | |
| 4468. |
The relation \[3t=\sqrt{3x}+6\] describes the displacement of a particle in one direction where \[x\] is in metres and \[t\] in sec. The displacement, when velocity is zero, is [CPMT 2000] |
| A. | 24 metres |
| B. | 12 metres |
| C. | 5 metres |
| D. | Zero |
| Answer» E. | |
| 4469. |
The motion of a particle is described by the equation \[u=at\]. The distance travelled by the particle in the first 4 seconds [DCE 2000] |
| A. | \[4a\] |
| B. | \[12a\] |
| C. | \[6a\] |
| D. | \[8a\] |
| Answer» E. | |
| 4470. |
Acceleration of a particle changes when [RPMT 2000] |
| A. | Direction of velocity changes |
| B. | Magnitude of velocity changes |
| C. | Both of above |
| D. | Speed changes |
| Answer» D. Speed changes | |
| 4471. |
The distance travelled by a particle is proportional to the squares of time, then the particle travels with [RPET 1999; RPMT 2000] |
| A. | Uniform acceleration |
| B. | Uniform velocity |
| C. | Increasing acceleration |
| D. | Decreasing velocity |
| Answer» B. Uniform velocity | |
| 4472. |
A particle travels 10m in first 5 sec and 10m in next 3 sec. Assuming constant acceleration what is the distance travelled in next 2 sec [RPET 2000] |
| A. | 8.3 m |
| B. | 9.3 m |
| C. | 10.3 m |
| D. | None of above |
| Answer» B. 9.3 m | |
| 4473. |
A body is moving according to the equation \[x=at+b{{t}^{2}}-c{{t}^{3}}\] where \[x=\] displacement and \[a,\ b\] and \[c\] are constants. The acceleration of the body is [BHU 2000] |
| A. | \[a+2bt\] |
| B. | \[2b+6ct\] |
| C. | \[2b-6ct\] |
| D. | \[3b-6c{{t}^{2}}\] |
| Answer» D. \[3b-6c{{t}^{2}}\] | |
| 4474. |
The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is [NCERT 1990] |
| A. | Increasing with time |
| B. | Decreasing with time |
| C. | Constant but not zero |
| D. | Zero |
| Answer» B. Decreasing with time | |
| 4475. |
The motion of a particle is described by the equation \[x=a+b{{t}^{2}}\] where \[a=15\] cm and \[b=3\] cm/s2. Its instantaneous velocity at time 3 sec will be [AMU (Med.) 2000] |
| A. | 36 cm/sec |
| B. | 18 cm/sec |
| C. | 16 cm/sec |
| D. | 32 cm/sec |
| Answer» C. 16 cm/sec | |
| 4476. |
A body travels for 15 sec starting from rest with constant acceleration. If it travels distances \[{{S}_{1}},\ {{S}_{2}}\] and \[{{S}_{3}}\] in the first five seconds, second five seconds and next five seconds respectively the relation between \[{{S}_{1}},\ {{S}_{2}}\] and \[{{S}_{3}}\] is [AMU (Engg.) 2000] |
| A. | \[{{S}_{1}}={{S}_{2}}={{S}_{3}}\] |
| B. | \[5{{S}_{1}}=3{{S}_{2}}={{S}_{3}}\] |
| C. | \[{{S}_{1}}=\frac{1}{3}{{S}_{2}}=\frac{1}{5}{{S}_{3}}\] |
| D. | \[{{S}_{1}}=\frac{1}{5}{{S}_{2}}=\frac{1}{3}{{S}_{3}}\] |
| Answer» D. \[{{S}_{1}}=\frac{1}{5}{{S}_{2}}=\frac{1}{3}{{S}_{3}}\] | |
| 4477. |
Two cars A and B at rest at same point initially. If A starts with uniform velocity of 40 m/sec and B starts in the same direction with constant acceleration of \[4\,m/{{s}^{2}}\], then B will catch A after how much time [RPET 1999] |
| A. | 10 sec |
| B. | 20 sec |
| C. | 30 sec |
| D. | 35 sec |
| Answer» C. 30 sec | |
| 4478. |
The displacement of a particle starting from rest (at \[t=0\]) is given by \[s=6{{t}^{2}}-{{t}^{3}}\]. The time in seconds at which the particle will attain zero velocity again, is [SCRA 1998] |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» C. 6 | |
| 4479. |
If a train travelling at 72 kmph is to be brought to rest in a distance of 200 metres, then its retardation should be [SCRA 1998; MP PMT 2004] |
| A. | 20 \[m{{s}^{-2}}\] |
| B. | 10\[m{{s}^{-2}}\] |
| C. | 2 \[m{{s}^{-2}}\] |
| D. | 1 \[m{{s}^{-2}}\] |
| Answer» E. | |
| 4480. |
A truck and a car are moving with equal velocity. On applying the brakes both will stop after certain distance, then [CPMT 1997] |
| A. | Truck will cover less distance before rest |
| B. | Car will cover less distance before rest |
| C. | Both will cover equal distance |
| D. | None |
| Answer» C. Both will cover equal distance | |
| 4481. |
The position \[x\] of a particle varies with time \[t\] as \[x=a{{t}^{2}}-b{{t}^{3}}\]. The acceleration of the particle will be zero at time \[t\] equal to [CBSE PMT 1997; BHU 1999; DPMT 2000; KCET 2000] |
| A. | \[\frac{a}{b}\] |
| B. | \[7.5\ km/h\] |
| C. | \[\frac{a}{3b}\] |
| D. | Zero |
| Answer» D. Zero | |
| 4482. |
If a car at rest accelerates uniformly to a speed of 144 km/h in 20 s. Then it covers a distance of [CBSE PMT 1997] |
| A. | 20 m |
| B. | 400 m |
| C. | 1440 m |
| D. | 2880 m |
| Answer» C. 1440 m | |
| 4483. |
If a body starts from rest and travels 120 cm in the 6th second, then what is the acceleration [AFMC 1997] |
| A. | 0.20 \[m/{{s}^{2}}\] |
| B. | 0.027 \[m/{{s}^{2}}\] |
| C. | 0.218 \[m/{{s}^{2}}\] |
| D. | 0.03 \[m/{{s}^{2}}\] |
| Answer» D. 0.03 \[m/{{s}^{2}}\] | |
| 4484. |
The \[x\] and \[y\] coordinates of a particle at any time \[t\] are given by \[x=7t+4{{t}^{2}}\] and \[y=5t\], where \[x\] and \[y\] are in metre and \[t\] in seconds. The acceleration of particle at \[t=5\]s is [SCRA 1996] |
| A. | Zero |
| B. | \[8\,\,m/{{s}^{2}}\] |
| C. | 20 \[m/{{s}^{2}}\] |
| D. | 40 \[m/{{s}^{2}}\] |
| Answer» C. 20 \[m/{{s}^{2}}\] | |
| 4485. |
An electron starting from rest has a velocity that increases linearly with the time that is \[v=kt,\] where \[k=2m/{{\sec }^{2}}\]. The distance travelled in the first 3 seconds will be [NCERT 1982] |
| A. | 9 \[m\] |
| B. | 16 \[m\] |
| C. | 27 \[m\] |
| D. | 36 \[m\] |
| Answer» B. 16 \[m\] | |
| 4486. |
For a moving body at any instant of time [NTSE 1995] |
| A. | If the body is not moving, the acceleration is necessarily zero |
| B. | If the body is slowing, the retardation is negative |
| C. | If the body is slowing, the distance is negative |
| D. | If displacement, velocity and acceleration at that instant are known, we can find the displacement at any given time in future |
| Answer» E. | |
| 4487. |
A particle moves along a straight line such that its displacement at any time \[t\] is given by \[S={{t}^{3}}-6{{t}^{2}}+3t+4\] metres The velocity when the acceleration is zero is [CBSE PMT 1994; JIPMER 2001, 02] |
| A. | \[3m{{s}^{-1}}\] |
| B. | \[-12m{{s}^{-1}}\] |
| C. | \[42\,m{{s}^{-1}}\] |
| D. | \[-9\,m{{s}^{-1}}\] |
| Answer» E. | |
| 4488. |
A body starts from rest. What is the ratio of the distance travelled by the body during the 4th and 3rd second [CBSE PMT 1993] |
| A. | \[\frac{7}{5}\] |
| B. | \[\frac{5}{7}\] |
| C. | \[\frac{7}{3}\] |
| D. | \[\frac{3}{7}\] |
| Answer» B. \[\frac{5}{7}\] | |
| 4489. |
The acceleration \['a'\] in \[m/{{s}^{2}}\] of a particle is given by \[a=3{{t}^{2}}+2t+2\] where \[t\] is the time. If the particle starts out with a velocity \[u=2\,m/s\] at \[t=0\], then the velocity at the end of 2 second is [MNR 1994; SCRA 1994] |
| A. | 12 m/s |
| B. | 18 m/s |
| C. | 27 m/s |
| D. | 36 m/s |
| Answer» C. 27 m/s | |
| 4490. |
A boggy of uniformly moving train is suddenly detached from train and stops after covering some distance. The distance covered by the boggy and distance covered by the train in the same time has relation [RPET 1997] |
| A. | Both will be equal |
| B. | First will be half of second |
| C. | First will be 1/4 of second |
| D. | No definite ratio |
| Answer» C. First will be 1/4 of second | |
| 4491. |
A body moves from rest with a constant acceleration of \[5\,m/{{s}^{2}}\]. Its instantaneous speed (in \[m/s)\] at the end of 10 sec is [SCRA 1994] |
| A. | 50 |
| B. | 5 |
| C. | 2 |
| D. | 0.5 |
| Answer» B. 5 | |
| 4492. |
Two trains travelling on the same track are approaching each other with equal speeds of 40 m/s. The drivers of the trains begin to decelerate simultaneously when they are just 2.0 km apart. Assuming the decelerations to be uniform and equal, the value of the deceleration to barely avoid collision should be [AMU 1995] |
| A. | 11.8 \[m/{{s}^{2}}\] |
| B. | 11.0 \[m/{{s}^{2}}\] |
| C. | 2.1 \[m/{{s}^{2}}\] |
| D. | 0.8 \[m/{{s}^{2}}\] |
| Answer» E. | |
| 4493. |
The displacement is given by \[x=2{{t}^{2}}+t+5\], the acceleration at \[t=2s\] is [EAMCET (Engg.) 1995] |
| A. | \[4\,\,m/{{s}^{2}}\] |
| B. | \[8\,\,m/{{s}^{2}}\] |
| C. | \[10\,m/{{s}^{2}}\] |
| D. | \[15\,m/{{s}^{2}}\] |
| Answer» B. \[8\,\,m/{{s}^{2}}\] | |
| 4494. |
An elevator car, whose floor to ceiling distance is equal to 2.7 m, starts ascending with constant acceleration of 1.2 ms?2. 2 sec after the start, a bolt begins fallings from the ceiling of the car. The free fall time of the bolt is [KCET 1994] |
| A. | \[\sqrt{0.54}\,s\] |
| B. | \[\sqrt{6}\,s\] |
| C. | 0.7 s |
| D. | 1 s |
| Answer» D. 1 s | |
| 4495. |
A car moving with a speed of 40 km/h can be stopped by applying brakes after atleast 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance [CBSE PMT 1998,1999; AFMC 2000; JIPMER 2001, 02] |
| A. | 8 m |
| B. | 2 m |
| C. | 4 m |
| D. | 6 m |
| Answer» B. 2 m | |
| 4496. |
The coordinates of a moving particle at any time are given by \[x=a{{t}^{2}}\] and \[y=b{{t}^{2}}\]. The speed of the particle at any moment is [DPMT 1984; CPMT 1997] |
| A. | \[2t(a+b)\] |
| B. | \[2t\sqrt{({{a}^{2}}-{{b}^{2}})}\] |
| C. | \[t\,\sqrt{{{a}^{2}}+{{b}^{2}}}\] |
| D. | \[2t\sqrt{({{a}^{2}}+{{b}^{2}})}\] |
| Answer» E. | |
| 4497. |
The displacement of a particle is given by \[y=a+bt+c{{t}^{2}}-d{{t}^{4}}\]. The initial velocity and acceleration are respectively [CPMT 1999, 2003] |
| A. | \[b,\,-4d\] |
| B. | \[-b,\,2c\] |
| C. | \[b,\,2c\] |
| D. | \[2c,\,-4d\] |
| Answer» D. \[2c,\,-4d\] | |
| 4498. |
An alpha particle enters a hollow tube of 4 m length with an initial speed of 1 km/s. It is accelerated in the tube and comes out of it with a speed of 9 km/s. The time for which it remains inside the tube is |
| A. | \[8\times {{10}^{-3}}\]s |
| B. | \[80\times {{10}^{-3}}s\] |
| C. | \[800\times {{10}^{-3}}s\] |
| D. | \[8\times {{10}^{-4}}s\] |
| Answer» E. | |
| 4499. |
A car moving with a velocity of 10 m/s can be stopped by the application of a constant force F in a distance of 20 m. If the velocity of the car is 30 m/s, it can be stopped by this force in [MP PMT 1999] |
| A. | \[\frac{20}{3}m\] |
| B. | 20 m |
| C. | 60 m |
| D. | 180 m |
| Answer» E. | |
| 4500. |
A body starts from rest from the origin with an acceleration of \[6\,m/{{s}^{2}}\] along the x-axis and \[8\,m/{{s}^{2}}\] along the y-axis. Its distance from the origin after 4 seconds will be [MP PMT 1999] |
| A. | 56 m |
| B. | 64 m |
| C. | 80 m |
| D. | 128 m |
| Answer» D. 128 m | |