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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.
| 3251. |
In the above question, the force acting on the object is [CPMT 1971] |
| A. | 30 N |
| B. | ? 30 N |
| C. | 3 N |
| D. | ? 3 N |
| Answer» C. 3 N | |
| 3252. |
An object with a mass 10 kg moves at a constant velocity of 10 m/sec. A constant force then acts for 4 second on the object and gives it a speed of 2 m/sec in opposite direction. The acceleration produced in it, is [CPMT 1971] |
| A. | \[3\,m/{{\sec }^{2}}\] |
| B. | \[-3\,m/{{\sec }^{2}}\] |
| C. | \[0.3\,m/{{\sec }^{2}}\] |
| D. | \[-0.3\,m/{{\sec }^{2}}\] |
| Answer» C. \[0.3\,m/{{\sec }^{2}}\] | |
| 3253. |
When 1 N force acts on 1 kg body that is able to move freely, the body receives [CPMT 1971] |
| A. | A speed of 1 m/sec |
| B. | An acceleration of \[1\,m/{{\sec }^{2}}\] |
| C. | An acceleration of \[980\,cm/{{\sec }^{2}}\] |
| D. | An acceleration of \[1\,cm/{{\sec }^{2}}\] |
| Answer» C. An acceleration of \[980\,cm/{{\sec }^{2}}\] | |
| 3254. |
A body of mass 40 gm is moving with a constant velocity of 2 cm/sec on a horizontal frictionless table. The force on the table is [NCERT 1978] |
| A. | 39200 dyne |
| B. | 160 dyne |
| C. | 80 dyne |
| D. | Zero dyne |
| Answer» B. 160 dyne | |
| 3255. |
A force of 5 N acts on a body of weight 9.8 N. What is the acceleration produced in \[m/{{\sec }^{2}}\] [NCERT 1990] |
| A. | 49.00 |
| B. | 5.00 |
| C. | 1.46 |
| D. | 0.51 |
| Answer» C. 1.46 | |
| 3256. |
In doubling the mass and acceleration of the mass, the force acting on the mass with respect to the previous value |
| A. | Decreases to half |
| B. | Remains unchanged |
| C. | Increases two times |
| D. | Increases four times |
| Answer» E. | |
| 3257. |
A man weighing 80 kg is standing in a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of 1 m / s, then after 4 sec his displacement relative to the ground will be [CPMT 1988, 89, 2002] |
| A. | 5 m |
| B. | 4.8 m |
| C. | 3.2 m |
| D. | 3.0 m |
| Answer» D. 3.0 m | |
| 3258. |
10,000 small balls, each weighing 1 gm, strike one square cm of area per second with a velocity 100 m/s in a normal direction and rebound with the same velocity. The value of pressure on the surface will be [MP PMT 1994] |
| A. | \[2\times {{10}^{3}}\,N/{{m}^{2}}\] |
| B. | \[2\times {{10}^{5}}\,N/{{m}^{2}}\] |
| C. | \[{{10}^{7}}\,N/{{m}^{2}}\] |
| D. | \[2\times {{10}^{7}}\,N/{{m}^{2}}\] |
| Answer» E. | |
| 3259. |
A satellite in force-free space sweeps stationary interplanetary dust at a rate \[dM/dt=\alpha v\] where M is the mass, v is the velocity of the satellite and \[\alpha \] is a constant. What is the deacceleration of the satellite [CBSE PMT 1994] |
| A. | \[-2\alpha {{v}^{2}}/M\] |
| B. | \[-\alpha {{v}^{2}}/M\] |
| C. | \[+\alpha {{v}^{2}}/M\] |
| D. | \[-\alpha {{v}^{2}}\] |
| Answer» D. \[-\alpha {{v}^{2}}\] | |
| 3260. |
A ladder rests against a frictionless vertical wall, with its upper end 6m above the ground and the lower end 4m away from the wall. The weight of the ladder is 500 N and its C. G. at 1/3rd distance from the lower end. Wall's reaction will be, (in Newton) [AMU (Med.) 2000] |
| A. | 111 |
| B. | 333 |
| C. | 222 |
| D. | 129 |
| Answer» B. 333 | |
| 3261. |
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. \[0.5kg\] | |
| 3262. |
If the tension in the cable of 1000 kg elevator is 1000 kg weight, the elevator [NCERT 1971] |
| A. | Is accelerating upwards |
| B. | Is accelerating downwards |
| C. | May be at rest or accelerating |
| D. | May be at rest or in uniform motion |
| Answer» E. | |
| 3263. |
A gardner waters the plants by a pipe of diameter 1mm. The water comes out at the rate or 10 cm3/sec. The reactionary force exerted on the hand of the gardner is [KCET 2000] |
| A. | Zero |
| B. | \[1.27\times {{10}^{-2}}N\] |
| C. | \[1.27\times {{10}^{-4}}N\] |
| D. | \[0.127N\] |
| Answer» E. | |
| 3264. |
A gun of mass \[10kg\] fires 4 bullets per second. The mass of each bullet is 20 g and the velocity of the bullet when it leaves the gun is \[300\,m{{s}^{-1}}.\] The force required to hold the gun while firing is [EAMCET (Med.) 2000] |
| A. | 6 N |
| B. | 8 N |
| C. | 24 N |
| D. | 240 N |
| Answer» D. 240 N | |
| 3265. |
The time in which a force of 2 N produces a change of momentum of \[0.4\,kg-m{{s}^{-1}}\] in the body is [CMEET Bihar 1995] |
| A. | 0.2 s |
| B. | 0.02 s |
| C. | 0.5 s |
| D. | 0.05 s |
| Answer» B. 0.02 s | |
| 3266. |
A ball of mass 400 gm is dropped from a height of 5m. A boy on the ground hits the ball vertically upwards with a bat with an average force of 100 newton so that it attains a vertical height of 20 m. The time for which the ball remains in contact with the bat is \[[g=10\,m/{{s}^{2}}]\] [MP PMT 1999] |
| A. | 0.12s |
| B. | 0.08 s |
| C. | 0.04 s |
| D. | 12 s |
| Answer» B. 0.08 s | |
| 3267. |
n small balls each of mass m impinge elastically each second on a surface with velocity u. The force experienced by the surface will be [MP PMT/PET 1998; RPET 2001; BHU 2001; MP PMT 2003] |
| A. | mnu |
| B. | 2 mnu |
| C. | 4 mnu |
| D. | \[\frac{1}{2}\,mnu\] |
| Answer» C. 4 mnu | |
| 3268. |
A ball of mass 0.5 kg moving with a velocity of 2 m/sec strikes a wall normally and bounces back with the same speed. If the time of contact between the ball and the wall is one millisecond, the average force exerted by the wall on the ball is [CBSE PMT 1990] |
| A. | 2000 N |
| B. | 1000 N |
| C. | 5000 N |
| D. | 125 N |
| Answer» B. 1000 N | |
| 3269. |
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 | |
| 3270. |
A body of mass 8kg is moved by a force \[F=3x\,N,\] where \[x\] is the distance covered. Initial position is \[x=2\,m\] and the final position is \[x=10\]m. The initial speed is \[0.0m/s.\] The final speed is [Orissa JEE 2002] |
| A. | 6 m/s |
| B. | 12 m/s |
| C. | 18 m/s |
| D. | 14 m/s |
| Answer» B. 12 m/s | |
| 3271. |
A body of mass 5 kg starts from the origin with an initial velocity \[\overrightarrow{u\,}\,=\,30\hat{i}+40\hat{j}\,m{{s}^{-1}}\]. If a constant force \[\overrightarrow{F\,}=-(\hat{i}+5\hat{j})N\] acts on the body, the time in which the y?component of the velocity becomes zero is [EAMCET (Med.) 2000] |
| A. | 5 seconds |
| B. | 20 seconds |
| C. | 40 seconds |
| D. | 80 seconds |
| Answer» D. 80 seconds | |
| 3272. |
A coin is dropped in a lift. It takes time \[{{t}_{1}}\] to reach the floor when lift is stationary. It takes time \[{{t}_{2}}\] when lift is moving up with constant acceleration. Then |
| A. | \[{{t}_{1}}>{{t}_{2}}\] |
| B. | \[{{t}_{2}}>{{t}_{1}}\] |
| C. | \[{{t}_{1}}={{t}_{2}}\] |
| D. | \[{{t}_{1}}>>{{t}_{2}}\] |
| Answer» B. \[{{t}_{2}}>{{t}_{1}}\] | |
| 3273. |
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 | |
| 3274. |
Modulus of rigidity of a liquid [RPET 2000] |
| A. | Non zero constant |
| B. | Infinite |
| C. | Zero |
| D. | Cannot be predicted |
| Answer» D. Cannot be predicted | |
| 3275. |
If the Young's modulus of the material is 3 times its modulus of rigidity, then its volume elasticity will be |
| A. | Zero |
| B. | Infinity |
| C. | \[2\times {{10}^{10}}\,N/{{m}^{2}}\] |
| D. | \[3\times {{10}^{10}}\,N/{{m}^{2}}\] |
| Answer» C. \[2\times {{10}^{10}}\,N/{{m}^{2}}\] | |
| 3276. |
The Young's modulus of the material of a wire is \[6\times {{10}^{12}}\,N/{{m}^{2}}\] and there is no transverse strain in it, then its modulus of rigidity will be |
| A. | \[3\times {{10}^{12}}\,N/{{m}^{2}}\] |
| B. | \[2\times {{10}^{12}}\,N/{{m}^{2}}\] |
| C. | \[{{10}^{12}}\,N/{{m}^{2}}\] |
| D. | None of the above |
| Answer» B. \[2\times {{10}^{12}}\,N/{{m}^{2}}\] | |
| 3277. |
When a spiral spring is stretched by suspending a load on it, the strain produced is called |
| A. | Shearing |
| B. | Longitudinal |
| C. | Volume |
| D. | Transverse |
| Answer» B. Longitudinal | |
| 3278. |
Two wires A and B of same length and of the same material have the respective radii \[{{r}_{1}}\] and \[{{r}_{2}}\]. Their one end is fixed with a rigid support, and at the other end equal twisting couple is applied. Then the ratio of the angle of twist at the end of A and the angle of twist at the end of B will be [AIIMS 1980] |
| A. | \[\frac{r_{1}^{2}}{r_{2}^{2}}\] |
| B. | \[\frac{r_{2}^{2}}{r_{1}^{2}}\] |
| C. | \[\frac{r_{2}^{4}}{r_{1}^{4}}\] |
| D. | \[\frac{r_{1}^{4}}{r_{2}^{4}}\] |
| Answer» D. \[\frac{r_{1}^{4}}{r_{2}^{4}}\] | |
| 3279. |
Which of the following relations is true [CPMT 1984] |
| A. | \[3Y=K(1-\sigma )\] |
| B. | \[K=\frac{9\eta Y}{Y+\eta }\] |
| C. | \[\sigma =(6K+\eta )Y\] |
| D. | \[\sigma =\frac{0.5Y-\eta }{\eta }\] |
| Answer» E. | |
| 3280. |
Which statement is true for a metal [DPMT 2001] |
| A. | \[Y<\eta \] |
| B. | \[Y=\eta \] |
| C. | \[Y>\eta \] |
| D. | \[Y<1/\eta \] |
| Answer» D. \[Y<1/\eta \] | |
| 3281. |
The ratio of lengths of two rods A and B of same material is 1 : 2 and the ratio of their radii is 2 : 1, then the ratio of modulus of rigidity of A and B will be |
| A. | 4 : 1 |
| B. | 16 : 1 |
| C. | 8 : 1 |
| D. | 1 : 1 |
| Answer» E. | |
| 3282. |
A rod of length l and radius r is joined to a rod of length l/2 and radius r/2 of same material. The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of \[\theta {}^\circ \], the twist angle at the joint will be [RPET 1997] |
| A. | \[\theta /4\] |
| B. | \[\theta /2\] |
| C. | \[5\theta /6\] |
| D. | \[8\theta /9\] |
| Answer» E. | |
| 3283. |
A 2 m long rod of radius 1 cm which is fixed from one end is given a twist of 0.8 radians. The shear strain developed will be [RPET 1997] |
| A. | 0.002 |
| B. | 0.004 |
| C. | 0.008 |
| D. | 0.016 |
| Answer» C. 0.008 | |
| 3284. |
Mark the wrong statement [MP PMT 2003] |
| A. | Sliding of molecular layer is much easier than compression or expansion |
| B. | Reciprocal of bulk modulus of elasticity is called compressibility |
| C. | It is difficult to twist a long rod as compared to small rod |
| D. | Hollow shaft is much stronger than a solid rod of same length and same mass |
| Answer» D. Hollow shaft is much stronger than a solid rod of same length and same mass | |
| 3285. |
The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of\[30{}^\circ \]. Then angle of shear is [NCERT 1990; MP PMT 1996] |
| A. | \[12{}^\circ \] |
| B. | \[0.12{}^\circ \] |
| C. | \[1.2{}^\circ \] |
| D. | \[0.012{}^\circ \] |
| Answer» C. \[1.2{}^\circ \] | |
| 3286. |
The lower surface of a cube is fixed. On its upper surface, force is applied at an angle of 30° from its surface. The change will be of the type |
| A. | Shape |
| B. | Size |
| C. | None |
| D. | Shape and size |
| Answer» E. | |
| 3287. |
The reason for the change in shape of a regular body is [EAMCET 1980] |
| A. | Volume stress |
| B. | Shearing strain |
| C. | Longitudinal strain |
| D. | Metallic strain |
| Answer» C. Longitudinal strain | |
| 3288. |
A cube of aluminium of sides 0.1 m is subjected to a shearing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be |
| A. | 0.02 |
| B. | 0.1 |
| C. | 0.005 |
| D. | 0.002 |
| Answer» E. | |
| 3289. |
For a given material, the Young's modulus is 2.4 times that of rigidity modulus. Its Poisson's ratio is [EAMCET 1990; RPET 2001] |
| A. | 2.4 |
| B. | 1.2 |
| C. | 0.4 |
| D. | 0.2 |
| Answer» E. | |
| 3290. |
A thief is running away on a straight road on a jeep moving with a speed of 9 m/s. A police man chases him on a motor cycle moving at a speed of 10 m/s. If the instantaneous separation of jeep from the motor cycle is 100 m, how long will it take for the policemen to catch the thief |
| A. | 1 second |
| B. | 19 second |
| C. | 90 second |
| D. | 100 second |
| Answer» E. | |
| 3291. |
A person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of 0.5 m/s at an angle of \[120{}^\circ \] with the direction of flow of water. The speed of water in the stream is [CBSE PMT 1999] |
| A. | 1 m/s |
| B. | 0.5 m/s |
| C. | 0.25 m/s |
| D. | 0.433 m/s |
| Answer» D. 0.433 m/s | |
| 3292. |
A river is flowing from east to west at a speed of 5 m/min. A man on south bank of river, capable of swimming 10m/min in still water, wants to swim across the river in shortest time. He should swim [BHU 1998] |
| A. | Due north |
| B. | Due north-east |
| C. | Due north-east with double the speed of river |
| D. | None of these |
| Answer» B. Due north-east | |
| 3293. |
A 150 m long train is moving to north at a speed of 10 m/s. A parrot flying towards south with a speed of 5 m/s crosses the train. The time taken by the parrot the cross to train would be: [CBSE PMT 1992] |
| A. | 30 s |
| B. | 15 s |
| C. | 8 s |
| D. | 10 s |
| Answer» E. | |
| 3294. |
A boat is moving with a velocity \[3\hat{i}+\text{ }4\hat{j}\]with respect to ground. The water in the river is moving with a velocity \[\text{ }3\hat{i}4\hat{j}\] with respect to ground. The relative velocity of the boat with respect to water is [CPMT 1998] |
| A. | \[8\hat{j}\] |
| B. | \[\text{ }6\hat{i}\text{ }8\hat{j}\] |
| C. | \[6\hat{i}+8\hat{j}\] |
| D. | \[5\sqrt{2}\] |
| Answer» D. \[5\sqrt{2}\] | |
| 3295. |
In the above problem, the speed of raindrops w.r.t. the moving man, will be |
| A. | \[10/\sqrt{2}\,km/h\] |
| B. | 5 km/h |
| C. | \[10\sqrt{3}\,km/h\] |
| D. | \[5/\sqrt{3}\,km/h\] |
| Answer» D. \[5/\sqrt{3}\,km/h\] | |
| 3296. |
A boat crosses a river with a velocity of 8 km/h. If the resulting velocity of boat is 10 km/h then the velocity of river water is [CPMT 2001] |
| A. | 4 km/h |
| B. | 6 km/h |
| C. | 8 km/h |
| D. | 10 km/h |
| Answer» C. 8 km/h | |
| 3297. |
A man standing on a road hold his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at 10 km/hr. He finds that raindrops are hitting his head vertically, the speed of raindrops with respect to the road will be |
| A. | 10 km/hr |
| B. | 20 km/hr |
| C. | 30 km/hr |
| D. | 40 km/hr |
| Answer» C. 30 km/hr | |
| 3298. |
A 120 m long train is moving towards west with a speed of 10 m/s. A bird flying towards east with a speed of 5 m/s crosses the train. The time taken by the bird to cross the train will be [Manipal 2002] |
| A. | 16 sec |
| B. | 12 sec |
| C. | 10 sec |
| D. | 8 sec |
| Answer» E. | |
| 3299. |
A boat takes two hours to travel 8 km and back in still water. If the velocity of water is 4 km/h, the time taken for going upstream 8 km and coming back is [EAMCET 1990] |
| A. | 2h |
| B. | 2h 40 min |
| C. | 1h 20 min |
| D. | Cannot be estimated with the information given |
| Answer» C. 1h 20 min | |
| 3300. |
A man sitting in a bus travelling in a direction from west to east with a speed of 40 km/h observes that the rain-drops are falling vertically down. To the another man standing on ground the rain will appear [HP PMT 1999] |
| A. | To fall vertically down |
| B. | To fall at an angle going from west to east |
| C. | To fall at an angle going from east to west |
| D. | The information given is insufficient to decide the direction of rain. |
| Answer» C. To fall at an angle going from east to west | |