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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.
| 3201. |
A body of mass 1.0kg is falling with an acceleration of 10 \[m/se{{c}^{2}}\]. Its apparent weight will be \[(g=10m/{{\sec }^{2}})\] [MP PET 2002] |
| A. | \[1.0\,kg\,wt\] |
| B. | \[2.0\,kg\,wt\] |
| C. | \[0.5\,kg\,wt\] |
| D. | Zero |
| Answer» E. | |
| 3202. |
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. \[\frac{\sqrt{5}T}{2}\] | |
| 3203. |
A 30 gm bullet initially travelling at 120 m/s penetrates 12 cm into a wooden block. The average resistance exerted by the wooden block is [AFMC 1999; CPMT 2001] |
| A. | 2850N |
| B. | 2200 N |
| C. | 2000N |
| D. | 1800 N |
| Answer» E. | |
| 3204. |
A force of 10 Newton acts on a body of mass 20kg for 10 seconds. Change in its momentum is [MP PET 2002] |
| A. | 5 \[kg\,m/s\] |
| B. | \[100kg\,m/s\] |
| C. | \[200\,kg\,m/s\] |
| D. | 1000 \[kg\,m/s\] |
| Answer» C. \[200\,kg\,m/s\] | |
| 3205. |
The apparent weight of the body, when it is travelling upwards with an acceleration of \[2m/{{s}^{2}}\] and mass is 10 kg, will be [Pb. PMT 2001] |
| A. | 198 N |
| B. | 164 N |
| C. | 140 N |
| D. | 118 N |
| Answer» E. | |
| 3206. |
A body of mass 2 kg is moving with a velocity 8 m/s on a smooth surface. If it is to be brought to rest in 4 seconds, then the force to be applied is [Pb. PMT 2000] |
| A. | 8 N |
| B. | 4 N |
| C. | 2 N |
| D. | 1 N |
| Answer» C. 2 N | |
| 3207. |
The average resisting force that must act on a 5 kg mass to reduce its speed from 65 cm/s to 15 cm/s in 0.2s is [RPET 2000] |
| A. | 12.5 N |
| B. | 25 N |
| C. | 50 N |
| D. | 100 N |
| Answer» B. 25 N | |
| 3208. |
An army vehicle of mass 1000 kg is moving with a velocity of 10 m/s and is acted upon by a forward force of 1000 N due to the engine and a retarding force of 500 N due to friction. What will be its velocity after 10 s [Pb. PMT 2000] |
| A. | 5 m/s |
| B. | 10 m/s |
| C. | 15 m/s |
| D. | 20 m/s |
| Answer» D. 20 m/s | |
| 3209. |
A mass is hanging on a spring balance which is kept in a lift. The lift ascends. The spring balance will show in its reading [DCE 2000] |
| A. | Increase |
| B. | Decrease |
| C. | No change |
| D. | Change depending upon velocity |
| Answer» E. | |
| 3210. |
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 | |
| 3211. |
The average force necessary to stop a bullet of mass 20 g moving with a speed of 250 m/s, as it penetrates into the wood for a distance of 12 cm is [CBSE PMT 2000; DPMT 2003] |
| A. | \[2.2\times {{10}^{3}}N\] |
| B. | \[3.2\times {{10}^{3}}N\] |
| C. | \[4.2\times {{10}^{3}}N\] |
| D. | \[5.2\times {{10}^{3}}N\] |
| Answer» E. | |
| 3212. |
A train is moving with velocity 20 m/sec. on this dust is falling at the rate of 50 kg/minute. The extra force required to move this train with constant velocity will be [RPET 1999] |
| A. | 16.66 N |
| B. | 1000 N |
| C. | 166.6 N |
| D. | 1200 N |
| Answer» B. 1000 N | |
| 3213. |
A pendulum bob of mass 50 gm is suspended from the ceiling of an elevator. The tension in the string if the elevator goes up with uniform velocity is approximately [AMU (Med.) 1999] |
| A. | 0.30 N |
| B. | 0.40 N |
| C. | 0.42 N |
| D. | 0.50 N |
| Answer» E. | |
| 3214. |
A cricket ball of mass 250 g collides with a bat with velocity 10 m/s and returns with the same velocity within 0.01 second. The force acted on bat is [CPMT 1997] |
| A. | 25 N |
| B. | 50 N |
| C. | 250 N |
| D. | 500 N |
| Answer» E. | |
| 3215. |
A cart of mass M is tied by one end of a massless rope of length 10 m. The other end of the rope is in the hands of a man of mass M. The entire system is on a smooth horizontal surface. The man is at x = 0 and the cart at x = 10 m. If the man pulls the cart by the rope, the man and the cart will meet at the point [CBSE PMT 1997] |
| A. | \[x=0\] |
| B. | \[x=5\,m\] |
| C. | \[x=10\,m\] |
| D. | They will never meet |
| Answer» C. \[x=10\,m\] | |
| 3216. |
A force vector applied on a mass is represented as \[\vec{F}=6\hat{i}-8\hat{j}+10\hat{k}\] and accelerates with \[1\,m/{{s}^{2}}\]. What will be the mass of the body [CBSE PMT 1996] |
| A. | \[10\sqrt{2}\,kg\] |
| B. | \[2\sqrt{10}\,kg\] |
| C. | 10 kg |
| D. | 20 kg |
| Answer» B. \[2\sqrt{10}\,kg\] | |
| 3217. |
Two balls of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] are separated from each other by a powder charge placed between them. The whole system is at rest on the ground. Suddenly the powder charge explodes and masses are pushed apart. The mass \[{{m}_{1}}\] travels a distance \[{{s}_{1}}\] and stops. If the coefficients of friction between the balls and ground are same, the mass \[{{m}_{2}}\] stops after travelling the distance [BHU 1994] |
| A. | \[{{s}_{2}}=\frac{{{m}_{1}}}{{{m}_{2}}}{{s}_{1}}\] |
| B. | \[{{s}_{2}}=\frac{{{m}_{2}}}{{{m}_{1}}}{{s}_{1}}\] |
| C. | \[{{s}_{2}}=\frac{m_{1}^{2}}{m_{2}^{2}}{{s}_{1}}\] |
| D. | \[{{s}_{2}}=\frac{m_{2}^{2}}{m_{1}^{2}}{{s}_{1}}\] |
| Answer» D. \[{{s}_{2}}=\frac{m_{2}^{2}}{m_{1}^{2}}{{s}_{1}}\] | |
| 3218. |
A diwali rocket is ejecting 0.05 kg of gases per second at a velocity of 400 m/sec. The accelerating force on the rocket is [NCERT 1979; DPMT 2001; MP PMT 2004] |
| A. | 20 dynes |
| B. | 20 N |
| C. | 22 dynes |
| D. | 1000 N |
| Answer» C. 22 dynes | |
| 3219. |
A second's pendulum is mounted in a rocket. Its period of oscillation decreases when the rocket [CBSE PMT 1994] |
| A. | Comes down with uniform acceleration |
| B. | Moves round the earth in a geostationary orbit |
| C. | Moves up with a uniform velocity |
| D. | Moves up with uniform acceleration |
| Answer» E. | |
| 3220. |
A mass of 10 gm is suspended by a string and the entire system is falling with a uniform acceleration of \[400\,cm/{{\sec }^{2}}.\]The tension in the string will be \[(g=980\,cm/{{\sec }^{2}})\] [SCRA 1994] |
| A. | 5,800 dyne |
| B. | 9,800 dyne |
| C. | 11,800 dyne |
| D. | 13,800 dyne |
| Answer» B. 9,800 dyne | |
| 3221. |
A body is imparted motion from rest to move in a straight line. If it is then obstructed by an opposite force, then [NTSE 1995] |
| A. | The body may necessarily change direction |
| B. | The body is sure to slow down |
| C. | The body will necessarily continue to move in the same direction at the same speed |
| D. | None of these |
| Answer» C. The body will necessarily continue to move in the same direction at the same speed | |
| 3222. |
A boy of 50 kg is in a lift moving down with an acceleration \[9.8\,m{{s}^{-2}}\]. The apparent weight of the body is \[(g=9.8\,m{{s}^{-2}})\] [EAMCET (Med.) 1995; Pb. PMT 1999; KCET 2000] |
| A. | \[50\times 9.8\,N\] |
| B. | Zero |
| C. | 50 N |
| D. | \[\frac{50}{9.8}N\] |
| Answer» C. 50 N | |
| 3223. |
Two trolleys of mass m and 3m are connected by a spring. They were compressed and released once, they move off in opposite direction and comes to rest after covering distances \[{{S}_{1}}\]and \[{{S}_{2}}\] respectively. Assuming the coefficient of friction to be uniform, the ratio of distances \[{{S}_{1}}:{{S}_{2}}\] is [EAMCET (Engg.) 1995] |
| A. | 1 : 9 |
| B. | 1 : 3 |
| C. | 3 : 1 |
| D. | 9 : 1 |
| Answer» E. | |
| 3224. |
A cork is submerged in water by a spring attached to the bottom of a pail. When the pail is kept in a elevator moving with an acceleration downwards, the spring length [EAMCET (Engg.) 1995] |
| A. | Increases |
| B. | Decreases |
| C. | Remains unchanged |
| D. | Data insufficient |
| Answer» C. Remains unchanged | |
| 3225. |
If a person with a spring balance and a body hanging from it goes up and up in an aeroplane, then the reading of the weight of the body as indicated by the spring balance will [AIIMS 1998; JIPMER 2000] |
| A. | Go on increasing |
| B. | Go on decreasing |
| C. | First increase and then decrease |
| D. | Remain the same |
| Answer» D. Remain the same | |
| 3226. |
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. \[185.5\,kg\,{{s}^{-1}}\] | |
| 3227. |
A mass 1 kg is suspended by a thread. It is (i) lifted up with an acceleration \[4.9\,m/{{s}^{2}}\] (ii) lowered with an acceleration \[4.9\,m/{{s}^{2}}\]. The ratio of the tensions is [CBSE PMT 1998] |
| A. | 3 : 1 |
| B. | 1 : 3 |
| C. | 1 : 2 |
| D. | 2 : 1 |
| Answer» B. 1 : 3 | |
| 3228. |
An object will continue moving uniformly until [CPMT 1975] |
| A. | The resultant force acting on it begins to decrease |
| B. | The resultant force on it is zero |
| C. | The resultant force is at right angle to its rotation |
| D. | The resultant force on it is increased continuously |
| Answer» C. The resultant force is at right angle to its rotation | |
| 3229. |
In an elevator moving vertically up with an acceleration g, the force exerted on the floor by a passenger of mass M is [CPMT 1999] |
| A. | Mg |
| B. | \[\frac{1}{2}Mg\] |
| C. | Zero |
| D. | 2 Mg |
| Answer» E. | |
| 3230. |
If force on a rocket having exhaust velocity of 300 m/sec is 210 N, then rate of combustion of the fuel is [CBSE PMT 1999; MH CET 2003; Pb. PMT 2004] |
| A. | 0.7 kg/s |
| B. | 1.4 kg/s |
| C. | 0.07 kg/s |
| D. | 10.7 kg/s |
| Answer» B. 1.4 kg/s | |
| 3231. |
The mass of a lift is 500 kg. When it ascends with an acceleration of \[2\,m/{{s}^{2}}\], the tension in the cable will be \[[g=10\,m/{{s}^{2}}]\] [MP PMT 1999, 2000] |
| A. | 6000 N |
| B. | 5000 N |
| C. | 4000 N |
| D. | 50 N |
| Answer» B. 5000 N | |
| 3232. |
The ratio of the weight of a man in a stationary lift and when it is moving downward with uniform acceleration ?a? is 3 : 2. The value of ?a? is (g-Acceleration due to gravity of the earth) [MP PET 1997] |
| A. | \[\frac{3}{2}g\] |
| B. | \[\frac{g}{3}\] |
| C. | \[\frac{2}{3}g\] |
| D. | g |
| Answer» C. \[\frac{2}{3}g\] | |
| 3233. |
A rocket has an initial mass of \[20\times {{10}^{3}}\,kg\]. If it is to blast off with an initial acceleration of \[4\,m{{s}^{-2}}\], the initial thrust needed is \[(g\tilde{=}10\,m{{s}^{-2}})\] [Kurukshetra CEE 1996] |
| A. | \[6\times {{10}^{4}}\,N\] |
| B. | \[28\times {{10}^{4}}\,N\] |
| C. | \[20\times {{10}^{4}}\,N\] |
| D. | \[12\times {{10}^{4}}\,N\] |
| Answer» C. \[20\times {{10}^{4}}\,N\] | |
| 3234. |
A boy having a mass equal to 40 kilograms is standing in an elevator. The force felt by the feet of the boy will begreatest when the elevator \[(g=9.8\,metres/{{\sec }^{2}})\] [MP PMT 1995; BVP 2003] |
| A. | Stands still |
| B. | Moves downward at a constant velocity of 4 metres/sec |
| C. | Accelerates downward with an acceleration equal to \[4\,metres/{{\sec }^{2}}\] |
| D. | Accelerates upward with an acceleration equal to \[4\,metres/{{\sec }^{2}}\] |
| Answer» E. | |
| 3235. |
A vehicle of 100 kg is moving with a velocity of 5 m/sec. To stop it in \[\frac{1}{10}\sec \], the required force in opposite direction is [MP PET 1995] |
| A. | 5000 N |
| B. | 500 N |
| C. | 50 N |
| D. | 1000 N |
| Answer» B. 500 N | |
| 3236. |
A ball of mass 0.2 kg moves with a velocity of 20 m/sec and it stops in 0.1 sec; then the force on the ball is [BHU 1995] |
| A. | 40 N |
| B. | 20 N |
| C. | 4 N |
| D. | 2 N |
| Answer» B. 20 N | |
| 3237. |
An elevator weighing 6000 kg is pulled upward by a cable with an acceleration of \[5\,m{{s}^{-2}}\]. Taking g to be \[10\,m{{s}^{-2}}\], then the tension in the cable is [Manipal MEE 1995] |
| A. | 6000 N |
| B. | 9000 N |
| C. | 60000 N |
| D. | 90000 N |
| Answer» E. | |
| 3238. |
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. | |
| 3239. |
A force of 100 dynes acts on mass of 5 gm for 10 sec. The velocity produced is [MNR 1987] |
| A. | 2 cm/sec |
| B. | 20 cm/sec |
| C. | 200 cm/sec |
| D. | 2000 cm/sec |
| Answer» D. 2000 cm/sec | |
| 3240. |
A man is standing on a weighing machine placed in a lift. When stationary his weight is recorded as 40 kg. If the lift is accelerated upwards with an acceleration of \[2\,m/{{s}^{2}}\], then the weight recorded in the machine will be \[(g=10\,m/{{s}^{2}})\] [MP PMT 1994] |
| A. | 32 kg |
| B. | 40 kg |
| C. | 42 kg |
| D. | 48 kg |
| Answer» E. | |
| 3241. |
In a rocket of mass 1000 kg fuel is consumed at a rate of 40 kg/s. The velocity of the gases ejected from the rocket is \[5\times {{10}^{4}}\,m/s\]. The thrust on the rocket is [MP PMT 1994] |
| A. | \[2\times {{10}^{3}}N\] |
| B. | \[5\times {{10}^{4}}N\] |
| C. | \[2\times {{10}^{6}}N\] |
| D. | \[2\times {{10}^{9}}N\] |
| Answer» D. \[2\times {{10}^{9}}N\] | |
| 3242. |
At a place where the acceleration due to gravity is \[10\,m\,{{\sec }^{-2}}\] a force of 5 kg-wt acts on a body of mass 10 kg initially at rest. The velocity of the body after 4 second is [EAMCET 1981] |
| A. | \[5\,m\,{{\sec }^{-1}}\] |
| B. | \[10\,m\,{{\sec }^{-1}}\] |
| C. | \[20\,m\,{{\sec }^{-1}}\] |
| D. | \[50\,m\,{{\sec }^{-1}}\] |
| Answer» D. \[50\,m\,{{\sec }^{-1}}\] | |
| 3243. |
A parachutist of weight ?w? strikes the ground with his legs fixed and comes to rest with an upward acceleration of magnitude 3 g. Force exerted on him by ground during landing is [EAMCET 1988] |
| A. | w |
| B. | 2w |
| C. | 3w |
| D. | 4w |
| Answer» E. | |
| 3244. |
Gravels are dropped on a conveyor belt at the rate of 0.5 kg/sec. The extra force required in newtons to keep the belt moving at 2 m/sec is [EAMCET 1988] |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 0.5 |
| Answer» B. 2 | |
| 3245. |
A block of metal weighing 2 kg is resting on a frictionless plane. It is struck by a jet releasing water at a rate of 1 kg/sec and at a speed of 5 m/sec. The initial acceleration of the block will be [MNR 1979] |
| A. | \[2.5\,m/{{\sec }^{2}}\] |
| B. | \[5.0\,m/{{\sec }^{2}}\] |
| C. | \[10\,m/{{\sec }^{2}}\] |
| D. | None of the above |
| Answer» B. \[5.0\,m/{{\sec }^{2}}\] | |
| 3246. |
A particle of mass 0.3 kg is subjected to a force \[F=-kx\] with \[k=15\,N/m.\] What will be its initial acceleration if it is released from a point 20 cm away from the origin [AIEEE 2005] |
| A. | 5 m/s2 |
| B. | 10 m/s2 |
| C. | 3 m/s2 |
| D. | 15 m/s2 |
| Answer» C. 3 m/s2 | |
| 3247. |
A person is standing in an elevator. In which situation he finds his weight less than actual when [AIIMS 2005] |
| A. | The elevator moves upward with constant acceleration |
| B. | The elevator moves downward with constant acceleration. |
| C. | The elevator moves upward with uniform velocity |
| D. | The elevator moves downward with uniform velocity |
| Answer» C. The elevator moves upward with uniform velocity | |
| 3248. |
In the above question, the acceleration of the car will be [CPMT 1971] |
| A. | \[0.25\,m/{{\sec }^{2}}\] |
| B. | \[2.5\,m/{{\sec }^{2}}\] |
| C. | \[5.0\,m/{{\sec }^{2}}\] |
| D. | \[0.025\,m/{{\sec }^{2}}\] |
| Answer» E. | |
| 3249. |
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 | |
| 3250. |
Newton's second law gives the measure of [CPMT 1982] |
| A. | Acceleration |
| B. | Force |
| C. | Momentum |
| D. | Angular momentum |
| Answer» C. Momentum | |