MCQOPTIONS
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MCQOPTIONS
This section includes 54 Mcqs, each offering curated multiple-choice questions to sharpen your Maharashtra CET knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A body is released from the top of the tower of height H metre. It takes T seconds to reach the ground. Where was the body at time T/2 seconds? |
| A. | at H/2 m from the ground |
| B. | at H/4 from the ground |
| C. | at 3H/4 m from the ground |
| D. | depends upon the mass and volume of the body |
| Answer» D. depends upon the mass and volume of the body | |
| 2. |
If 'x' is displacement, time taken 't', initial velocity 'u', final velocity 'v' and acceleration 'a' then which of the following equations is true? |
| A. | u = x/t + (at)/2 |
| B. | u = xt - 2a/t |
| C. | u = x/t - (at)/2 |
| D. | u = xt + 2a/t |
| Answer» B. u = xt - 2a/t | |
| 3. |
An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseous phase is \(\bar v\), m is its mass and \({k_B}\) is Boltzmann constant, then its temperature will be: |
| A. | \(\frac{{m{{\bar v}^2}}}{{6{k_B}}}\) |
| B. | \(\frac{{m{{\bar v}^2}}}{{3{k_B}}}\) |
| C. | \(\frac{{m{{\bar v}^2}}}{{7{k_B}}}\) |
| D. | \(\frac{{m{{\bar v}^2}}}{{5{k_B}}}\) |
| Answer» B. \(\frac{{m{{\bar v}^2}}}{{3{k_B}}}\) | |
| 4. |
A cyclist starting from point X travels straight towards east for 3km and then turns right and covers 4km and reaches point Y. What is the shortest distance between point X and Y? |
| A. | 5 km |
| B. | 2 km |
| C. | 7 km |
| D. | 1 km |
| Answer» B. 2 km | |
| 5. |
A particle has displacement 12cm towards east and 9cm towards north and then 6cm vertically upward. The magnitude of the displacement of the particle is: |
| A. | \(\sqrt {216} \;cm\) |
| B. | \(\sqrt {131} \;cm\) |
| C. | \(\sqrt {261} \;cm\) |
| D. | \(\sqrt {331} cm\) |
| Answer» D. \(\sqrt {331} cm\) | |
| 6. |
A boy standing on a 20 m tall building throws a stone horizontally with a speed of 15 m/s. With what speed will the stone hit the ground (in m/s)? (use g = 10 m/s²) |
| A. | 20 |
| B. | 25 |
| C. | 15 |
| D. | 10 |
| Answer» C. 15 | |
| 7. |
Neena was cycling to the market to buy some grocery items. The market is 4 km away from her home. She travels at a speed of 12 km/h for first 10 minutes. On her way she meets her friend Nikhat and stops to chat with her for 15 minutes. She resumes her journey at a speed of 8 km/h. What is her average speed for the journey? |
| A. | 10 km/h |
| B. | 4 km/h |
| C. | 6 km/h |
| D. | 8 km/h |
| Answer» D. 8 km/h | |
| 8. |
A particle starts moving from rest under uniform acceleration. It travels a distance 'x' in the first two seconds and a distance 'y' in the next two seconds. If y = nx, then n = |
| A. | 1 |
| B. | 3 |
| C. | 2 |
| D. | 4 |
| Answer» C. 2 | |
| 9. |
A ball is released from the top of a tower of height 'h' metres. It takes 'T' seconds to reach the ground. What is the position of the ball in T/3 seconds? |
| A. | h/9 metres from ground |
| B. | 7h/9 m from ground |
| C. | 8h/9 metres from ground |
| D. | 17h/18 m fro m ground |
| Answer» D. 17h/18 m fro m ground | |
| 10. |
A 2.5 kg iron ball has the same diameter as a 1.25 kg aluminium ball. The balls are dropped at the same time from a cliff. Just before they reach the ground, they have same |
| A. | acceleration |
| B. | momentum |
| C. | kinetic energy |
| D. | potential energy |
| Answer» B. momentum | |
| 11. |
A tank, filled partially with a liquid, is subjected to uniform horizonal acceleration. Which of the following is true about the surface of the liquid in the tank? |
| A. | The liquid surface falls down on the direction of motion and rises up on the back side of the tank |
| B. | The liquid surface falls down only at the center of the tank |
| C. | The surface of liquid remains horizontal |
| D. | None of the above |
| Answer» B. The liquid surface falls down only at the center of the tank | |
| 12. |
A ball, having speed \(V_0\) moves in a straight line under the influence of a constant acceleration a. Then its final speed after travelling a distance x for time t will be |
| A. | \((\frac{x}{t})-V_0\) |
| B. | \({V_0}^2+2ax\) |
| C. | \(V_0+\frac{1}{2} at^2\) |
| D. | \((\frac{2x}{t} )- V_0\) |
| Answer» C. \(V_0+\frac{1}{2} at^2\) | |
| 13. |
A particle moving along a straight line travels 100 m in the 10th second and 200 m in the 20th second. Find the distance travelled by it in 30 seconds. |
| A. | 4650 m |
| B. | 3000 m |
| C. | 2000 m |
| D. | 2800 m |
| Answer» B. 3000 m | |
| 14. |
A stone dropped from a certain height can reach the ground in 5 seconds. If the stone is stopped after 3 seconds of its fall, then allowed to fall again, then the time taken by the stone to reach the ground for the remaining distance is- |
| A. | 2 sec |
| B. | 3 sec |
| C. | 4 sec |
| D. | None of these |
| Answer» D. None of these | |
| 15. |
If 'x' is displacement, time taken 't', initial velocity 'u', final velocity 'v' and acceleration 'a'. Which of the following equations is true? |
| A. | v = u - at |
| B. | a = (u - v )t |
| C. | u = v - at |
| D. | t = (u + v )/a |
| Answer» D. t = (u + v )/a | |
| 16. |
An object is dropped from a height of 500 m. How long will it take to reach the floor (in seconds)? (use g = 10 m/s2) |
| A. | 5 |
| B. | 15 |
| C. | 10 |
| D. | 20 |
| Answer» D. 20 | |
| 17. |
A ball is thrown vertically upwards with initial velocity \(V_0\) and returns to its starting point in 6 seconds then the initial velocity with which the ball was thrown will be |
| A. | 58.8 m/s |
| B. | 19.6 m/s |
| C. | 39.2 m/s |
| D. | 29.4 m/s |
| Answer» E. | |
| 18. |
A person boarded an express train on 29th November, 2019 at Surat (Gujarat) for Nagarcoil (Kerala). The train departed from Surat at 19:45 hours and reached Nagarcoil at 11:45 hours on 1st December, 2019. If the distance between Surat and Nagarcoil by train route is nearly 2120 km, the average speed of the train during this journey was |
| A. | 132.5 km/h |
| B. | 60 km/h |
| C. | 53 km/h |
| D. | 45 km/h |
| Answer» D. 45 km/h | |
| 19. |
A particle experiences constant acceleration for 20 s after starting from rest. If it travels a distance X1, in the first 10 s and distance X2 in the remaining 10 s, then which of the following is true? |
| A. | X1 = 3 X2 |
| B. | X2 = 3 X1 |
| C. | X2 = X1 |
| D. | X2 = 2 X1 |
| Answer» C. X2 = X1 | |
| 20. |
A stone thrown upwards with an initial velocity of 60 m/s. What is the maximum height that the stone will reach? |
| A. | 150 m |
| B. | 48 m |
| C. | 155 m |
| D. | 180 m |
| Answer» E. | |
| 21. |
If 'x' is displacement, time taken is 't', initial velocity is 'u', final velocity is 'v' and acceleration is 'a', then which of the following equations is true? |
| A. | 2x + 2ut = at2 |
| B. | x = ut - (at2) / 2 |
| C. | x = ut / 2 - at2 |
| D. | 2x - 2ut = at2 |
| Answer» E. | |
| 22. |
On a distance–time graph, after every two hours the graph is a straight line parallel to the time axis for 15 minutes. It shows that: |
| A. | The vehicle is at rest for 15 minutes after every 2 hours. |
| B. | The vehicle is moving with a constant speed for 15 minutes after every 2 hours. |
| C. | The vehicle is decelerated for 15 minutes after every 2 hours. |
| D. | The vehicle is accelerated for 15 minutes after every 2 hours. |
| Answer» B. The vehicle is moving with a constant speed for 15 minutes after every 2 hours. | |
| 23. |
A body is projected vertically upwards. The times corresponding to height h, while ascending and while descending are t1 and t2 respectively. Then the velocity of projection is (g is the acceleration due to gravity) |
| A. | \(g\sqrt {{t_1}{t_2}} \) |
| B. | \(\frac{{g{t_1}{t_2}}}{{{t_1} + {t_2}}}\) |
| C. | \(\frac{{g\sqrt {{t_1}{t_2}} }}{2}\) |
| D. | \(\frac{{g\left( {{t_1} + {t_2}} \right)}}{2}\) |
| Answer» E. | |
| 24. |
A car, initially at rest travels 20 m in 4 sec along a straight line with constant acceleration. Find the acceleration of car? |
| A. | 4.9 m / s2 |
| B. | 2.5 m / s2 |
| C. | 0.4 m / s2 |
| D. | 1.6 m / s2 |
| Answer» C. 0.4 m / s2 | |
| 25. |
If a particle starts from rest and accelerates at the rate of 'a' m/s2, and if its velocity at the end of time t is equal to 'a' m/s then what will its velocity be (in m/s) at end of time '2t'? |
| A. | 4a |
| B. | 4a2 |
| C. | 2a |
| D. | 2a2 |
| Answer» D. 2a2 | |
| 26. |
A body having very high mass is bound to have high ______. |
| A. | retardation |
| B. | inertia |
| C. | acceleration |
| D. | velocity |
| Answer» C. acceleration | |
| 27. |
A 50 kg block of stone rests the uppermost part of a smooth inclined plane whose length is 2.0 m and height is 0.5 m. Approximately how long will it take for the block to slide to the bottom of the plane when released ? |
| A. | 1.3 s |
| B. | 2.3 s |
| C. | 3.3 s |
| D. | 4.3 s |
| Answer» B. 2.3 s | |
| 28. |
A stone is dropped from a tower of height 80 m. Find the velocity with which it hits the ground (in m/s)? (use g = 10 m/s2) |
| A. | 20 |
| B. | 10 |
| C. | 5 |
| D. | 40 |
| Answer» E. | |
| 29. |
A car covers the first half of the distance between two places at a speed of 40 km/hr and the second half at 60 km/hr. What is the average speed of the car? |
| A. | 50 km/hr |
| B. | 48 km/hr |
| C. | 100 km/hr |
| D. | 60 km/hr |
| Answer» C. 100 km/hr | |
| 30. |
A car accelerates uniformly from 5 ms-1 to 10 ms-1 in five seconds. Find the acceleration of the car |
| A. | 1 ms2 |
| B. | 1 ms-2 |
| C. | 1 ms1 |
| D. | 1 ms-1 |
| Answer» C. 1 ms1 | |
| 31. |
If 'x' is displacement, time taken 't', initial velocity 'u', final velocity v and acceleration 'a'. Which of the following equations is true? |
| A. | a = 2x/t2 + 2u/t |
| B. | a = 2x/t - 2u/t2 |
| C. | a = 2x/t + 2u/t2 |
| D. | a = 2x/t2 - 2u/t |
| Answer» E. | |
| 32. |
A person of 80 kg mass runs with a force of 240 N. Its acceleration should be ______. |
| A. | 3 ms-2 |
| B. | 8 ms-2 |
| C. | 24 ms-2 |
| D. | 4 ms-2 |
| Answer» B. 8 ms-2 | |
| 33. |
A spaceship travelling in space at 300 km/s its engine for 15s, such that its final velocity is 600 km/s. The total distance travelled by the ship in one minute starting from the time of firing is: |
| A. | 27,000 km |
| B. | 43,750 km |
| C. | 33,750 km |
| D. | 6,750 km |
| Answer» D. 6,750 km | |
| 34. |
A ball is thrown upwards from point A, with a velocity of 15 m/s, and it comes back from its highest point B, to the ground after some time. The magnitude of the acceleration of the ball at its highest point B will be |
| A. | g |
| B. | g/2 |
| C. | -g |
| D. | 0 |
| Answer» B. g/2 | |
| 35. |
According to equations of motion, with symbols having usual meaning, the velocity at time 't' for a body moving along a straight line is given by, v = |
| A. | u + at |
| B. | u - at |
| C. | u/at |
| D. | ut + 1/2 at2 |
| Answer» B. u - at | |
| 36. |
If a particle starts from rest and accelerates at the rate of a m/s2 then what is the distance (in meters) travelled in the 2nd second? |
| A. | 2a |
| B. | 4a |
| C. | 5a/2 |
| D. | 3a/2 |
| Answer» E. | |
| 37. |
Motion of a train is an example of________. |
| A. | Rotatory motion |
| B. | Spin motion |
| C. | Projectile motion |
| D. | Translatory motion |
| Answer» E. | |
| 38. |
Average Acceleration= |
| A. | \(\frac{Total \ displacement}{total \ time}\) |
| B. | \(\frac{ change \ in \ velocity}{time \ taken}\) |
| C. | \(\frac{distance}{time}\) |
| D. | \(\frac{change \ in \ mass}{time}\) |
| Answer» C. \(\frac{distance}{time}\) | |
| 39. |
A baseball is moving at 25 m/s. When it is struck by a bat moves off in the opposite direction at 35 m/s. If the impact lasted 0.010 s, find the baseball's acceleration during the impact. |
| A. | 2500 m/s2 |
| B. | -6000 m/s2 |
| C. | -3500 m/s2 |
| D. | 5000 m/s2 |
| Answer» C. -3500 m/s2 | |
| 40. |
A boy boarded a train on 4th June, 2020 at Nagarcoil for Madgaon. The train departed at 22:30 hours from Nagarcoil and reached Madgaon at 04:30 hours on 6th June, 2020. If the distance covered by the train during this time interval is 1145 km, the average speed of the train was nearly |
| A. | 38.5 km/h |
| B. | 40.5 km/h |
| C. | 42.5 km/h |
| D. | 36.5 km/h |
| Answer» B. 40.5 km/h | |
| 41. |
A man walks 6 km towards north and turns left and walks 2 kms towards West. If he has started from point Z and reached point A, then what is the shortest distance between point Z and A. |
| A. | 2√5 km |
| B. | \(\sqrt {10}\) km |
| C. | 2\(\sqrt {10}\) km |
| D. | \(\sqrt {15}\) km |
| Answer» D. \(\sqrt {15}\) km | |
| 42. |
For a constant linear acceleration the position-time graph is likely to be: |
| A. | A straight line, inclined to time-axis, having a negative slope |
| B. | A curved line |
| C. | A straight horizontal line parallel to time-axis |
| D. | A straight line inclined to time-axis, having a positive slope |
| Answer» C. A straight horizontal line parallel to time-axis | |
| 43. |
If x is displacement, time taken is t, initial velocity is u, final velocity is v and acceleration is a, then which of the following equations is true? |
| A. | u² = v² + 2ax |
| B. | x = (v² - u²)/2a |
| C. | v² = u² - 2ax |
| D. | x = (v² + u²)/ 2a |
| Answer» C. v² = u² - 2ax | |
| 44. |
A car moving with a speed of 50 km/hr can be stopped by brakes after travelling at least 6 m. If the same car is moving at a speed of 100 km/hr, the minimum stopping distance is : |
| A. | 18 m |
| B. | 12 m |
| C. | 24 m |
| D. | 6 m |
| Answer» C. 24 m | |
| 45. |
A train starting from rest and Moving with a uniform acceleration attains a speed of 108 km per hour in 2.5 minutes. What will be the acceleration of the train and how much distance would it travel in this time ?To solve this question, out of the equations of this type of motion, minimum how many of them are to be used ? |
| A. | Only one |
| B. | Only two |
| C. | Any two |
| D. | All |
| Answer» D. All | |
| 46. |
A ball is thrown vertically upwards with a velocity of 20 m/s. How high will the ball rise (in meters)? (use g = 10 m/s²) |
| A. | 10 |
| B. | 20 |
| C. | 5 |
| D. | 40 |
| Answer» C. 5 | |
| 47. |
A car takes 20 S to stop after the application of the brakes. The distance it travels during this interval if brakes produce a retardation of 0.6 m/s2 is: |
| A. | 240 m |
| B. | 120 m |
| C. | 60 m |
| D. | 360 m |
| Answer» C. 60 m | |
| 48. |
A ball is thrown vertically upward and it reaches the greatest height in 1 sec. Find the distance travelled by it during the first 1/4 sec of its descent from the greatest height. |
| A. | g/16 |
| B. | g/64 |
| C. | g/32 |
| D. | g/8 |
| Answer» D. g/8 | |
| 49. |
A person moves 30m north and then 20m towards east and finally \(30\sqrt{2}\) in south-west direction. The displacement of the person from the origin will be |
| A. | 10 m along south |
| B. | 10 m along west |
| C. | 10 m along north |
| D. | zero |
| Answer» C. 10 m along north | |
| 50. |
A body starts from rest and moved with uniform acceleration. The distance travelled in the first 2 seconds and in the next 2 seconds are s1 and s2. Find \(\frac{{{s_1}}}{{{s_2}}}\) |
| A. | \(\frac{2}{3}\) |
| B. | \(\frac{1}{3}\) |
| C. | \(\frac{1}{4}\) |
| D. | \(\frac{1}{2}\) |
| Answer» C. \(\frac{1}{4}\) | |