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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.
| 1901. |
A body is projected vertically upwards. If \[{{t}_{1}}\] and \[{{t}_{2}}\] be the times at which it is at height h above the projection while ascending and descending respectively, then h is |
| A. | \[\frac{1}{2}g{{t}_{1}}{{t}_{2}}\] |
| B. | \[g\,{{t}_{1}}{{t}_{2}}\] |
| C. | \[2g\,{{t}_{1}}{{t}_{2}}\] |
| D. | \[2hg\] |
| Answer» B. \[g\,{{t}_{1}}{{t}_{2}}\] | |
| 1902. |
The ball is projected up from ground with speed \[30\text{ }m/sec\]. What is the average velocity for time 0 to 4 sec? |
| A. | \[10\text{ }m/sec\] |
| B. | \[20\text{ }m/sec\] |
| C. | \[\text{15 }m/sec\] |
| D. | \[zero\] |
| Answer» B. \[20\text{ }m/sec\] | |
| 1903. |
A ball thrown vertically upwards after reaching a maximum height h, returns to the starting point after a time of 10 s. Its displacement is |
| A. | h |
| B. | 2 h |
| C. | 10 h |
| D. | zero |
| Answer» E. | |
| 1904. |
A body is thrown upwards and reaches half of its maximum height. At that position |
| A. | its acceleration is minimum |
| B. | its velocity is maximum |
| C. | its velocity is zero |
| D. | its acceleration is constant |
| Answer» E. | |
| 1905. |
A particle experiences constant acceleration for 20 seconds after starting from rest. If it travels a distance \[{{s}_{1}}\] in the first 10 seconds and distance \[{{s}_{2}}\] in the next 10 seconds, then |
| A. | \[{{s}_{2}}={{s}_{1}}\] |
| B. | \[{{s}_{2}}=2{{s}_{1}}\] |
| C. | \[{{s}_{2}}=3{{s}_{1}}\] |
| D. | \[{{s}_{2}}=4{{s}_{1}}\] |
| Answer» D. \[{{s}_{2}}=4{{s}_{1}}\] | |
| 1906. |
A body is thrown vertically upwards. If air resistance is to be taken into account, then the time during which the body rises is [assume no air resistance close to earth] |
| A. | equal to the time of fall |
| B. | less than the time of fall |
| C. | greater than the time of fall |
| D. | twice the time of fall |
| Answer» C. greater than the time of fall | |
| 1907. |
A man travelling in a car with a maximum on stat speed of 20m/s watches the friend start off at a distance 100m ahead on a motor cycle with constant acceleration 'a'. The maximum value of 'a' for which the man in the car can reach his friend is |
| A. | \[2\text{ }m/{{s}^{2}}\] |
| B. | \[\text{1 }m/{{s}^{2}}\] |
| C. | \[4\text{ }m/{{s}^{2}}\] |
| D. | \[8\text{ }m{{s}^{-2}}\] |
| Answer» B. \[\text{1 }m/{{s}^{2}}\] | |
| 1908. |
Two particles start moving from rest from the same point along the same straight line. The first moves with constant velocity v and the second with constant acceleration a. During the time that elapse before the second catches the first, the greatest distance between the particles is |
| A. | \[\frac{{{\text{v}}^{2}}}{a}\] |
| B. | \[\frac{{{v}^{2}}}{2a}\] |
| C. | \[\frac{\text{2}{{\text{v}}^{2}}}{a}\] |
| D. | \[\frac{{{\text{v}}^{2}}}{4a}\] |
| Answer» C. \[\frac{\text{2}{{\text{v}}^{2}}}{a}\] | |
| 1909. |
A bus is moving with a velocity of \[10\text{ }m{{s}^{-1}}\] on a straight road. A scootorist wishes to overtake the bus in one minute. If the bus is at a distance of 1.2 km ahead, then the velocity with which he has to chase the bus is |
| A. | \[20\,m{{s}^{-1}}\] |
| B. | \[25\,m{{s}^{-1}}\] |
| C. | \[60\,m{{s}^{-1}}\] |
| D. | \[30\,m{{s}^{-1}}\] |
| Answer» E. | |
| 1910. |
Two particles P and Q simultaneously start moving from point A with velocities 15 m/s and 20 m/s respectively. The two particles move with acceleration equal in magnitude but opposite in direction. When P overtakes Q at B then its velocity is 30 m/s The velocity of Q at point B will be |
| A. | 30 m/s |
| B. | 5 m/s |
| C. | 20 m/s |
| D. | 15 m/s |
| Answer» C. 20 m/s | |
| 1911. |
Two trains are each 50 m long moving parallel towards each other at speeds \[10\text{ }m/s\] and 15 m/s respectively. After what time will they pass each other? |
| A. | \[5\sqrt{\frac{2}{3}}sec\] |
| B. | \[4\text{ }sec\] |
| C. | \[\text{2 }sec\] |
| D. | \[\text{6 }sec\] |
| Answer» C. \[\text{2 }sec\] | |
| 1912. |
A train of 150 m length is going towards north direction at a speed of \[10\text{ }m{{s}^{-1}}\]. A parrot flies at a speed of \[5\text{ }m{{s}^{-1}}\] towards south direction parallel to the railway track. The time taken by the parrot to cross the train is equal to |
| A. | 12s |
| B. | 8s |
| C. | 15s |
| D. | 16s |
| Answer» E. | |
| 1913. |
Two cars A and B approach each other at the same speed, then what will be the velocity of A if velocity of B is 8 m/s? |
| A. | 16 m/s |
| B. | 8 m/s |
| C. | -8 m/s |
| D. | Can't be determined. |
| Answer» D. Can't be determined. | |
| 1914. |
Two trains, each 40 m long are travelling in opposite direction with equal velocity 20 m/s. The time of crossing is |
| A. | 1s |
| B. | 2s |
| C. | 3s |
| D. | Zero |
| Answer» C. 3s | |
| 1915. |
A truck has to carry a load in the shortest time from one station to another station situated at a distance L from the first. It can start up or slowdown at the same acceleration or deceleration what maximum velocity must the truck attain to satisfy this condition? |
| A. | \[\sqrt{La}\] |
| B. | \[\sqrt{2La}\] |
| C. | \[\sqrt{3La}\] |
| D. | \[\sqrt{5La}\] |
| Answer» B. \[\sqrt{2La}\] | |
| 1916. |
Starting from rest a particle moves in a straight line with acceleration \[a={{(25-{{t}^{2}})}^{1/2}}m/{{s}^{2}}\] for \[0\le t\le \text{ }5s\], \[a=\frac{3\pi }{8}m/{{s}^{2}}\] for \[t>5s\]. The velocity of particle at \[t=7s\] is: |
| A. | 11 m/s |
| B. | 22 m/s |
| C. | 33 m/s |
| D. | 44 m/s |
| Answer» C. 33 m/s | |
| 1917. |
A goods train accelerating uniformly on a straight railway track, approaches an electric pole standing on the side of track. Its engine passes the pole with velocity u and the guard's room passes with velocity v. The middle wagon of the train passes the pole with a velocity. |
| A. | \[\frac{\text{u+v}}{2}\] |
| B. | \[\frac{1}{2}\sqrt{{{\text{u}}^{\text{2}}}\text{+}{{\text{v}}^{\text{2}}}}\] |
| C. | \[\sqrt{\text{uv}}\] |
| D. | \[\sqrt{\left( \frac{{{\text{u}}^{2}}+{{\text{v}}^{2}}}{2} \right)}\] |
| Answer» E. | |
| 1918. |
A car of mass 1000 kg is moving at a speed of 30 m/s. Brakes are applied to bring the car to rest. If the deceleration is \[5\text{ }m/{{s}^{2}}\] the car comes to stop after travelling d m in t s. Then |
| A. | d = 150, t=5 |
| B. | d = 120, t=5 |
| C. | d = 180, t=6 |
| D. | d = 90, t=6 |
| Answer» E. | |
| 1919. |
A particle is moving along a straight line path according to the relation \[{{s}^{2}}=a{{t}^{2}}+2bt+c\] s represents the distance travelled in t seconds and a, b, c are constants. Then the acceleration of the particle varies as |
| A. | \[{{s}^{-\,3}}\] |
| B. | \[{{s}^{3/2}}\] |
| C. | \[{{s}^{-2/3}}\] |
| D. | \[{{s}^{2}}\] |
| Answer» B. \[{{s}^{3/2}}\] | |
| 1920. |
A body starts from rest and is uniformly accelerated for 30 s. The distance travelled in the first 10 s is \[{{x}_{1}}\], next 10 s is \[{{x}_{2}}\], and the last 10 s is \[{{x}_{3}}\]. Then \[{{x}_{1}}:\text{ }{{x}_{2}}:\text{ }{{x}_{3}}\] is the same as: |
| A. | 1:2:4 |
| B. | 0.0431134259259259 |
| C. | 1:3:5 |
| D. | 0.0438541666666667 |
| Answer» D. 0.0438541666666667 | |
| 1921. |
The displacement x of a particle at the instant when its velocity is v is given by \[v\text{ }=\text{ }\sqrt{3x+16}.\] Its acceleration and initial velocity are |
| A. | 1.5 units, 4 units |
| B. | 3 units, 4 units |
| C. | 16 units, 1.6 units |
| D. | 16 units, 3 units |
| Answer» B. 3 units, 4 units | |
| 1922. |
The velocity of an object moving rectilinearly is given as a function of time by \[v=4t-3{{t}^{2}},\] where v is in m/s and t is in seconds. The average velocity of particle between t = 0 to t = 2 seconds is |
| A. | \[0\] |
| B. | \[-2\text{ }m/s\] |
| C. | \[-4\text{ }m/s\] |
| D. | \[\text{8 }m/s\] |
| Answer» B. \[-2\text{ }m/s\] | |
| 1923. |
A car, starting from rest, accelerates at the rate through a distance S, then continues at constant speed for time t and then decelerates at the rate \[\frac{\text{f}}{2}\]to come to rest. If the total distance traversed is 15 S, then |
| A. | \[\text{S=}\frac{\text{1}}{\text{6}}\text{f}{{\text{t}}^{\text{2}}}\] |
| B. | \[\text{S=ft}\] |
| C. | \[\text{S=}\frac{\text{1}}{\text{4}}\text{f}{{\text{t}}^{\text{2}}}\] |
| D. | \[\text{S=}\frac{\text{1}}{\text{72}}\text{f}{{\text{t}}^{\text{2}}}\] |
| Answer» E. | |
| 1924. |
A metro train starts from rest and in 5 s achieves 108 km/h. After that it moves with constant velocity and comes to rest after travelling 45 m with uniform retardation. If total distance travelled is 395 m, find total time of travelling. |
| A. | 12.2s |
| B. | 15.3s |
| C. | 9s |
| D. | 17.2s |
| Answer» E. | |
| 1925. |
A bike accelerates from rest at a constant rate \[5\,\,m/{{s}^{2}}\] for some time after which it decelerates at a constant rate \[3\text{ }m/{{s}^{2}}\] to come to rest. If the total time elapsed is 8 second, the maximum velocity acquired by the bike is given by |
| A. | 5 m/s |
| B. | 10 m/s |
| C. | 12 m/s |
| D. | 15 m/s |
| Answer» E. | |
| 1926. |
An object, moving with a speed of \[6.25\text{ }m/s\], is decelerate data rate given by: \[\frac{\text{dv}}{\text{dt}}=\text{ -2}\text{.5}\sqrt{\text{v}}\]where v is the instantaneous speed. The time taken by the object, to come to rest, would be |
| A. | 2s |
| B. | 4s |
| C. | 8s |
| D. | 1s |
| Answer» B. 4s | |
| 1927. |
A particle is moving eastwards with a velocity of \[5\text{ }m{{s}^{-1}}\]. In 10 seconds the velocity changes to \[5\text{ }m{{s}^{-1}}\] northwards. The average acceleration in this time is |
| A. | \[\frac{1}{2}m{{s}^{-2}}\] toward north |
| B. | \[\frac{1}{\sqrt{2}}m{{s}^{-2}}\] toward north-east |
| C. | \[\frac{1}{\sqrt{2}}m{{s}^{-2}}\] towards north-west |
| D. | zero |
| Answer» D. zero | |
| 1928. |
A particle moves a distance x in time t according to equation \[x={{\left( t+5 \right)}^{-1}}\]. The acceleration of particle is proportional to |
| A. | \[{{\left( velocity \right)}^{3/2}}\] |
| B. | \[{{\left( distance \right)}^{2}}\] |
| C. | \[{{\left( distance \right)}^{-2}}\] |
| D. | \[{{\left( velocity \right)}^{2/3}}\] |
| Answer» B. \[{{\left( distance \right)}^{2}}\] | |
| 1929. |
The displacement of a particle as a function of time is shown in figure. It indicates that |
| A. | the velocity of the particle is constant throughout |
| B. | the acceleration of the particle is constant throughout |
| C. | the particle starts with a constant velocity and is accelerated |
| D. | the motion is retarded and finally the particle stops |
| Answer» E. | |
| 1930. |
A body covers 26, 28, 30, 32 meters in 10th, 11th, 12th and 13th seconds respectively The body |
| A. | from rest and moves with uniform velocity |
| B. | from rest and moves with uniform acceleration |
| C. | with an initial velocity and moves with uniform acceleration |
| D. | with an initial velocity and moves with uniform velocity |
| Answer» D. with an initial velocity and moves with uniform velocity | |
| 1931. |
The deceleration experienced by a moving motorboat after its engine is cut off, is given by \[\frac{\text{dv}}{\text{dt}}\text{ = -K}{{\text{V}}^{3}}\] where K is constant. If \[{{V}_{0}}\] is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time t after the cut-off is |
| A. | \[\frac{{{V}_{0}}}{\sqrt{\left( 2V_{0}^{2}Kt+1 \right)}}\] |
| B. | \[{{V}_{0}}{{e}^{-Kt}}\] |
| C. | \[{{V}_{0}}/2\] |
| D. | \[{{V}_{0}}\] |
| Answer» E. | |
| 1932. |
A car accelerates from rest at a constant rate \[\alpha \] for some time, after which it decelerates at a constant rate \[\beta \] and comes to rest. If the total time elapsed is t, then the maximum velocity acquired by the car is |
| A. | \[\left( \frac{{{\alpha }^{2}}+{{\beta }^{2}}}{\alpha \beta } \right)\text{t}\] |
| B. | \[\left( \frac{{{\alpha }^{2}}-{{\beta }^{2}}}{\alpha \beta } \right)\] |
| C. | \[\frac{\left( {{\alpha }^{{}}}+{{\beta }^{{}}} \right)\text{t}}{\alpha \beta }\] |
| D. | \[\frac{\alpha \beta \text{t}}{{{\alpha }^{{}}}+{{\beta }^{{}}}}\] |
| Answer» E. | |
| 1933. |
The dependence of velocity of a body with time is given by the equation \[v=20+0.\text{ }1\text{ }{{t}^{2}}\]. The body is in |
| A. | uniform retardation |
| B. | uniform acceleration |
| C. | non-uniform acceleration |
| D. | zero acceleration. |
| Answer» D. zero acceleration. | |
| 1934. |
If a car at rest accelerates uniformly to a speed of 144 km/h in 20 s, it covers a distance of |
| A. | 2880 m |
| B. | 1440 m |
| C. | 400 m |
| D. | 20 m |
| Answer» D. 20 m | |
| 1935. |
The distance travelled by a particle starting from rest and moving with an acceleration \[\frac{4}{3}\text{m}{{\text{s}}^{-2}}\], in the third second is: |
| A. | 6 m |
| B. | 4 m |
| C. | \[\frac{10}{3}\,m\] |
| D. | \[\frac{19}{3}\,m\] |
| Answer» D. \[\frac{19}{3}\,m\] | |
| 1936. |
If a train travelling at \[20\text{ }m/s\] is to be brought to rest in a distance of 200 m, then its retardation should be |
| A. | \[1\text{ }m/{{s}^{2}}\] |
| B. | \[2\text{ }m/{{s}^{2}}\] |
| C. | \[10\text{ }m/{{s}^{2}}\] |
| D. | \[20\text{ }m/{{s}^{2}}\] |
| Answer» B. \[2\text{ }m/{{s}^{2}}\] | |
| 1937. |
The displacement of a particle is represented by the following equation: \[S=3{{t}^{3}}+7{{t}^{2}}+5t+8\] where S is in meter and t in second. The acceleration of the particle at t = 15 is |
| A. | \[14\,\,m/{{s}^{2}}\] |
| B. | \[18\,\,m/{{s}^{2}}\] |
| C. | \[32\,\,m/{{s}^{2}}\] |
| D. | Zero |
| Answer» D. Zero | |
| 1938. |
A bullet fired into a wooden block loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of |
| A. | \[\frac{22}{3}\,cm\] |
| B. | \[\frac{40}{3}\,cm\] |
| C. | \[\frac{20}{3}\,cm\] |
| D. | \[\frac{22}{5}\,cm\] |
| Answer» C. \[\frac{20}{3}\,cm\] | |
| 1939. |
Stopping distance of a moving vehicle is directly proportional to |
| A. | square of the initial velocity |
| B. | square of the initial acceleration |
| C. | the initial velocity |
| D. | the initial acceleration |
| Answer» B. square of the initial acceleration | |
| 1940. |
The velocity time graph of the motion of the body is as shown belowThe total distance travelled by the body during the motion is equal to __. |
| A. | \[\frac{\text{1}}{\text{2}}\left( \text{AD+BE} \right)\text{ }\!\!\times\!\!\text{ OC}\] |
| B. | \[\frac{\text{1}}{\text{2}}\left( \text{OA+BC} \right)\text{ }\!\!\times\!\!\text{ OC}\] |
| C. | \[\frac{\text{1}}{\text{2}}\left( \text{OC+AB} \right)\text{ }\!\!\times\!\!\text{ AD}\] |
| D. | \[\frac{\text{1}}{\text{2}}\left( \text{OA+AB} \right)\text{ }\!\!\times\!\!\text{ BC}\] |
| Answer» D. \[\frac{\text{1}}{\text{2}}\left( \text{OA+AB} \right)\text{ }\!\!\times\!\!\text{ BC}\] | |
| 1941. |
If a body travels with constant acceleration, which of the following quantities remains constant? |
| A. | Displacement |
| B. | Velocity |
| C. | Time |
| D. | None of these |
| Answer» E. | |
| 1942. |
Three elephants A, B and C are moving along a straight line with constant speed in same direction as shown in figure. Speed of A is \[5\text{ }m/s\] and speed of C is 10 m/s. Initially separation between A and B is 'd' and between B and C is also. When 'B' catches 'C' separation between A and C becomes 3d. Then the speed of B will be |
| A. | \[7.5\text{ }m/s\] |
| B. | \[15\text{ }m/s\] |
| C. | \[\text{20 }m/s\] |
| D. | \[\text{5 }m/s\] |
| Answer» C. \[\text{20 }m/s\] | |
| 1943. |
A bird flies with a speed of 10 km/h and a car moves with uniform speed of 8 km/h. Both start from B towards A (BA = 40 km) at the same instant. The bird having reached A, flies back immediately to meet the approaching car. As soon as it reaches the car, it flies back to A. The bird repeats this till both the car and the bird reach A simultaneously. The total distance flown by the bird is |
| A. | 80 km |
| B. | 40 km |
| C. | 50 km |
| D. | 30 km |
| Answer» D. 30 km | |
| 1944. |
A person moves 30 m north and then 20 m towards east and finally \[30\sqrt{2}\] m south-west direction. The displacement of the person from the origin |
| A. | 10 m along north |
| B. | 10 m along south |
| C. | 10 m along west |
| D. | Zero |
| Answer» D. Zero | |
| 1945. |
The velocity-time graph of a body is shown in fig. The ratio of average acceleration during the intervals OA and AB is |
| A. | 1 |
| B. | \[\frac{1}{2}\] |
| C. | \[\frac{1}{3}\] |
| D. | 3 |
| Answer» D. 3 | |
| 1946. |
If a car covers \[2/5th\] of the total distance with \[{{v}_{1}}\] speed and \[3/5th\] distance with \[{{v}_{2}}\] then average speed is |
| A. | \[\frac{1}{2}\sqrt{{{\text{v}}_{1}}{{\text{v}}_{2}}}\] |
| B. | \[\frac{{{\text{v}}_{1}}+{{\text{v}}_{2}}}{2}\] |
| C. | \[\frac{2{{\text{v}}_{1}}{{\text{v}}_{2}}}{{{\text{v}}_{1}}+{{\text{v}}_{2}}}\] |
| D. | \[\frac{\text{5}{{\text{v}}_{1}}{{\text{v}}_{2}}}{\text{3}{{\text{v}}_{1}}+2{{\text{v}}_{2}}}\] |
| Answer» E. | |
| 1947. |
A man leaves his house for a cycle ride. He comes back to his house after half-an-hour after covering a distance of one km. What is his average velocity for the ride? |
| A. | Zero |
| B. | \[2\,km\text{ }{{h}^{-1}}\] |
| C. | \[10\,km\text{ }{{s}^{-1}}\] |
| D. | \[\frac{1}{2}\,km\text{ }{{s}^{-1}}\] |
| Answer» B. \[2\,km\text{ }{{h}^{-1}}\] | |
| 1948. |
A particle moves in straight line with velocity \[6\text{ }m/s\]and \[\text{3 }m/s\] for time intervals which are in ratio 1:2. Find average velocity. |
| A. | \[2\,\,m/s\] |
| B. | \[3\,\,m/s\] |
| C. | \[4\,\,m/s\] |
| D. | \[5\,\,m/s\] |
| Answer» D. \[5\,\,m/s\] | |
| 1949. |
A body moves in straight line with velocity \[{{v}_{1}}\], for 1/3rd time and for remaining time with \[{{v}_{2}}\] find average velocity. |
| A. | \[\frac{{{v}_{1}}}{3}+\frac{2{{v}_{2}}}{3}\] |
| B. | \[\frac{{{v}_{1}}}{3}+\frac{{{v}_{2}}}{3}\] |
| C. | \[\frac{2{{v}_{1}}}{3}+\frac{{{v}_{2}}}{3}\] |
| D. | \[{{v}_{1}}+\frac{2{{v}_{2}}}{3}\] |
| Answer» B. \[\frac{{{v}_{1}}}{3}+\frac{{{v}_{2}}}{3}\] | |
| 1950. |
An athlete completes one round of a circular track of radius R in 40 sec. What will be his displacement at the end of 3 min. 20 sec? |
| A. | \[Zero\] |
| B. | \[2R\] |
| C. | \[2\,\pi \,R\] |
| D. | \[7\,\pi \,R\] |
| Answer» B. \[2R\] | |