MCQOPTIONS
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MCQOPTIONS
This section includes 58 Mcqs, each offering curated multiple-choice questions to sharpen your UPSEE knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A ball is projected with a velocity of 49 m/sec at an angle of 30° from the horizontal. Its range on a horizontal plane is: |
| A. | \(490\sqrt 3 \) meter |
| B. | \(245\sqrt 3\) meter |
| C. | \(\frac{{245\sqrt 3 }}{2}\) meter |
| D. | \(\frac{{245\sqrt 3 }}{7}\) meter |
| Answer» D. \(\frac{{245\sqrt 3 }}{7}\) meter | |
| 2. |
A body of mass 500 kg is thrown vertically upwards with a speed of 200 m/sec. On the return journey its speed at the starting point will be- |
| A. | 2000 m/sec |
| B. | 200 m/sec |
| C. | 980 m/sec |
| D. | 1000 m/sec |
| Answer» C. 980 m/sec | |
| 3. |
A particle is projected with a velocity of 49 m/sec making an angle 60° with the horizontal. Its time of flight is given by- |
| A. | 10√3 sec |
| B. | 5√3 sec |
| C. | √3 sec |
| D. | None of these |
| Answer» C. √3 sec | |
| 4. |
A women in a car on a level road sees an airplane travelling in the same direction that is climbing at an angle of 30° above the horizontal. By driving at 110 km/h she is able to stay directly below the airplane. The airplane's velocity is |
| A. | 127 km/h |
| B. | 110 km/h |
| C. | 220 km/h |
| D. | 144 km/h |
| Answer» B. 110 km/h | |
| 5. |
If a projectile is thrown with velocity 'v' and making an angle 'θ' with the x-axis then the vertical component of velocity is given by which of the following formula? |
| A. | vy = vo sinθ - gt |
| B. | vy = vo sinθ + gt |
| C. | vy = vo cosθ - gt |
| D. | vy = vo cosθ + gt |
| Answer» B. vy = vo sinθ + gt | |
| 6. |
If a projectile is thrown with velocity 'v' and makes an angle 'θ' with the x-axis then the horizontal range of the projectile is given by the formula ______________. |
| A. | R = v2 sin 2θ/2g |
| B. | R = v sin 2θ/g |
| C. | R = v sin 2θ/2 g |
| D. | R = v2 sin 2θ/g |
| Answer» E. | |
| 7. |
At which angle of projection, the range of the projectile is maximum? |
| A. | 30° |
| B. | 45° |
| C. | 60° |
| D. | 75° |
| Answer» C. 60° | |
| 8. |
At which one of the following angles should a projectile be launched in order to have its horizontal range to be the maximum? |
| A. | 90° |
| B. | 0° |
| C. | 45° |
| D. | 60° |
| Answer» D. 60° | |
| 9. |
A projectile has range on a horizontal plane equal to three times the maximum height attained by it. If u be the velocity of projection of the projectile, then its time of flight is: |
| A. | \(\frac{{8u}}{{5g}}\) |
| B. | \(\frac{{4u}}{{5g}}\) |
| C. | \(\frac{{2u}}{{g}}\) |
| D. | \(\frac{{u}}{{g}}\) |
| Answer» B. \(\frac{{4u}}{{5g}}\) | |
| 10. |
Find the uniform angular acceleration of a wheel if its angular speed increases from 420 rpm to 660 rpm in 8 seconds? |
| A. | 2П rad /s² |
| B. | 1 rad/s² |
| C. | П rad/s² |
| D. | 2 rad/s² |
| Answer» D. 2 rad/s² | |
| 11. |
If an object is projected from the origin with initial velocity 'v' making an angle θ with x-axis, then the horizontal position of the projectile at time 't' will be equal to ___________. |
| A. | tv sinθ |
| B. | tv cosθ |
| C. | (v cosθ )/t |
| D. | (v sinθ)/t |
| Answer» C. (v cosθ )/t | |
| 12. |
A cannon ball is fired at an angle of 15° with the horizontal. If it lands 45m from the cannon (on horizontal ground), then at what speed (in m/s) did it exit from the muzzle? (use g = 10m/s2) |
| A. | 20 |
| B. | 30 |
| C. | 10 |
| D. | 40 |
| Answer» C. 10 | |
| 13. |
If a projectile is thrown with velocity v and makes an angle θ with the x-axis then the time taken for achieving maximum height is given by which formula? |
| A. | t= vsinθ/g |
| B. | t= v²sinθ/g |
| C. | t= v²sin²θ/g |
| D. | t= vsin²θ/g |
| Answer» B. t= v²sinθ/g | |
| 14. |
A five-tonne truck and a two-quintal car are moving with an equal velocity. After applying the brake, what will happen? |
| A. | The truck will stop covering more distance |
| B. | The car will stop covering more distance |
| C. | Both will stop covering same distance |
| D. | Distance covered before stop depends upon the driver |
| Answer» B. The car will stop covering more distance | |
| 15. |
If 'R' is radius of a particle in circular motion and 'ν' represents frequency then what is its centripetal acceleration? |
| A. | 2π2ν2R |
| B. | π2ν2R |
| C. | 4π2ν2R |
| D. | 2πν2R |
| Answer» D. 2πν2R | |
| 16. |
A particle of mass m moves with constant speed along a circular path of radius r under the force F. Its speed is- |
| A. | \(\sqrt{Fr/m}\) |
| B. | \(\sqrt{F/r}\) |
| C. | \(\sqrt{FMr}\) |
| D. | \(\sqrt{F/Mr}\) |
| Answer» B. \(\sqrt{F/r}\) | |
| 17. |
A ball is projected with a speed of 20 m/s making an angle of 60° with the horizontal. What will be the speed of the ball at the highest point? |
| A. | 10 m/s |
| B. | 40/√3 m/s |
| C. | 20 m/s |
| D. | 40 m/s |
| Answer» B. 40/√3 m/s | |
| 18. |
For a projectile the angle between the velocity and the x-axis as a function of time is? |
| A. | θ(t) = tan-1[(vox - gt)/voy] |
| B. | θ(t) = tan-1[(voy - gt2)/vox] |
| C. | θ(t) = tan-1[(voy - gt)/vox] |
| D. | θ(t) = tan-1[(vox - gt2)/voy] |
| Answer» D. θ(t) = tan-1[(vox - gt2)/voy] | |
| 19. |
Choose correct relation between the maximum height (H) and time of flight (T) of a projectile motion: |
| A. | H = 8 g T2 sin θ |
| B. | \(H=\dfrac{1}{8}g \ T^2\) |
| C. | \(H=\dfrac{1}{8} \dfrac{gT}{\sin \theta}\) |
| D. | H = T cot θ |
| Answer» C. \(H=\dfrac{1}{8} \dfrac{gT}{\sin \theta}\) | |
| 20. |
A fielder throws a ball at 20 m/s at an angle of 15° with the ground. How far (in m) from the fielder does the ball land? (use g = 10m/s2) |
| A. | 10 |
| B. | 20 |
| C. | 10√2 |
| D. | 20√2 |
| Answer» C. 10√2 | |
| 21. |
If 'a' projectile is thrown with velocity 'v' and making an angle 'θ' with the x-axis then the vertical component of velocity is given by which of the following formula? |
| A. | y = x tanθ - gx2/(2vcos2θ) |
| B. | y = x tanθ - gx2/(2v2cosθ) |
| C. | y = x tanθ - gx2/(2vcosθ) |
| D. | y = x tanθ - gx2/(2v2cos2θ) |
| Answer» E. | |
| 22. |
A particle of mass m is moving with a uniform speed v in a circle of radius r. What is the work done by the centripetal force after three complete turns? |
| A. | zero |
| B. | 3 mv2 |
| C. | 3/2 mv2 |
| D. | 3/4 mv2 |
| Answer» B. 3 mv2 | |
| 23. |
Centripetal force 'F' required for circular motion of an object of mass 'm' moving in circle of radius 'r' at a tangential velocity 'v' is equal to _______ |
| A. | \(\frac{v^2}{mr}\) |
| B. | \(\frac{mv^2}{r}\) |
| C. | mvr2 |
| D. | \(\frac{mv}{r^2}\) |
| Answer» C. mvr2 | |
| 24. |
An object is made to move with a uniform speed such that the magnitude of its velocity remains constant with its direction of motion continuously changing with time. Then, the unbalanced force acting on the object will be in the direction. |
| A. | Inclined at an angle of 60° with the direction of its acceleration |
| B. | Opposite to that of its velocity |
| C. | Parallel to that of its velocity |
| D. | Parallel to the direction of its acceleration |
| Answer» E. | |
| 25. |
If a projectile is thrown with velocity 'v' and making an angle 'θ' with the x-axis then the maximum horizontal range is given by which of the following formula? |
| A. | Rm = 2v2/g |
| B. | Rm = v2/g |
| C. | Rm = v2/(2g) |
| D. | Rm = √(v/g) |
| Answer» C. Rm = v2/(2g) | |
| 26. |
An object of mass m follows a circular path of radius r with a constant speed v in uniform circular motion. Then, the work done by the centripetal force for the object to move once in a full circle is |
| A. | \((MV^2/r).2r\) |
| B. | Zero |
| C. | \((Mv^2/r).2\pi r\) |
| D. | \((MV^2/r).2\pi r\) |
| Answer» C. \((Mv^2/r).2\pi r\) | |
| 27. |
If a car decelerates at the rate of 6 m/s2 to come to a stop in 1.25 seconds, then at what speed (in m/s) was the car travelling before it started to decelerate? |
| A. | 9.375 |
| B. | 45 |
| C. | 4.8 |
| D. | 7.5 |
| Answer» E. | |
| 28. |
If a stone is projected vertically up, its time of flight is |
| A. | inversely proportional to its mass |
| B. | proportional to its mass |
| C. | inversely proportional to its initial velocity |
| D. | proportional to its initial velocity |
| Answer» E. | |
| 29. |
On doubling the initial velocity of a projectile, its maximum horizontal range would now become |
| A. | Two times greater |
| B. | Four times greater |
| C. | Four times reduced |
| D. | Two times reduced |
| Answer» C. Four times reduced | |
| 30. |
A boy throws two balls in air in such a manner that when the first ball is at it's maximum height he throws the second ball. If the balls are thrown with the time difference of one second, the maximum height attained by each ball is (g = 10 m / s2) |
| A. | 2.5 m |
| B. | 5 m |
| C. | 10 m |
| D. | 3.5 m |
| Answer» C. 10 m | |
| 31. |
If velocity - time graph is parallel to time axis, the- |
| A. | Body is moving with uniform velocity |
| B. | Its acceleration is zero |
| C. | Its displacement can be found by finding the area of the graph |
| D. | All the above |
| Answer» E. | |
| 32. |
Keeping the speed of projection constant, the angle of projection is increased from 0° to 90°. Then the horizontal range of the projectile |
| A. | increases up to 45° and decreases afterwards |
| B. | increases up to 60° and decreases later |
| C. | increases up to 45° and remains unaltered thereafter |
| D. | goes on increasing up to 90° |
| Answer» B. increases up to 60° and decreases later | |
| 33. |
A body is projected horizontally with a velocity u from a point which is at a height h above the ground level. The range (R) is (Take acceleration due to gravity = g units) |
| A. | \(R = h \sqrt \frac {2u}{g}\) |
| B. | \(R = u \sqrt \frac {2g}{h}\) |
| C. | \(R = g \sqrt \frac {2h}{u}\) |
| D. | \(R = u \sqrt \frac {2h}{g}\) |
| Answer» E. | |
| 34. |
A body projected vertically upwards travels the same distance in the 5th and 6th seconds of its motion. Find the maximum height travelled by the body. (g = 10 m/s2) |
| A. | 50 m |
| B. | 250 m |
| C. | 125 m |
| D. | 100 m |
| Answer» D. 100 m | |
| 35. |
If a ball is thrown at an angle of 60° and it attains a maximum height of 15 m, then at what speed (in m/s) was it thrown? (use g = 10 m/s2) |
| A. | 10 |
| B. | 10√3 |
| C. | 20 |
| D. | 20√3 |
| Answer» D. 20√3 | |
| 36. |
If a body after travelling some distance comes back to its starting point then- |
| A. | Average velocity is zero |
| B. | Average speed is zero |
| C. | Distance traveled is zero |
| D. | All the above |
| Answer» B. Average speed is zero | |
| 37. |
A bomb is dropped at a point from a moving aeroplane. The pilot observes that |
| A. | the bomb traverses a curved path and falls some distance behind that point. |
| B. | the bomb traverses a curved path and falls some distance ahead. |
| C. | the bomb drops vertically downward. |
| D. | the bomb remains stationary in the air for some time. |
| Answer» C. the bomb drops vertically downward. | |
| 38. |
A body is thrown with a velocity 20 m/s at an angle of 30o with the horizontal. The time taken to reach the maximum height is:(Take g = 10 m/s2 |
| A. | 2 s |
| B. | 5 s |
| C. | 4 s |
| D. | 1 s |
| Answer» E. | |
| 39. |
A cricket ball is thrown vertically upward. It takes 3 sec to reach the greatest height. Find the distance traversed by the ball during the last second of its ascent (take g = 10 ms-2) |
| A. | 15 m |
| B. | 5 m |
| C. | 10 m |
| D. | 45 m |
| Answer» E. | |
| 40. |
If a fielder can throw a ball to a maximum horizontal distance of 120 m, then how high (in m) can he throw if he throws vertically with the same velocity?(use g = 10 m/s2) |
| A. | 60 |
| B. | 120 |
| C. | 30 |
| D. | 90 |
| Answer» B. 120 | |
| 41. |
Four identical balls, marked A, B, C and D are projected with a given projection velocity Vo at angles of projection of 30°, 45°, 60° and 90° respectively. Which one of these balls will achieve greatest vertical height? |
| A. | B |
| B. | D |
| C. | A |
| D. | C |
| Answer» C. A | |
| 42. |
If a projectile is thrown with velocity 'v' and makes an angle ' θ ' with the x-axis then maximum height of the projectile is given by the formula ___________. |
| A. | H = v sin2 θ / 2g |
| B. | H = v2 sin2 θ / 2g |
| C. | H = v2 sin2 θ / g |
| D. | H = v sin2 θ / g |
| Answer» C. H = v2 sin2 θ / g | |
| 43. |
An object is projected upward with a velocity of 4.9 m/sec. It will strike the ground after- |
| A. | 2 sec |
| B. | 1 sec |
| C. | 1.5 sec |
| D. | 0.5 sec |
| Answer» C. 1.5 sec | |
| 44. |
If a projectile is thrown with velocity 'v' and making an angle 'θ' with the x-axis then the time taken for flight is given by which of the following formula? |
| A. | t = 2v2 sinθ /g |
| B. | t = 2v sinθ /g |
| C. | t = 2v2 sin2θ /g |
| D. | t = 2v sin2θ /g |
| Answer» C. t = 2v2 sin2θ /g | |
| 45. |
If in any projectile maximum height is equal to horizontal range, then the angle of projection is |
| A. | \(tan^{-1}\frac{1}{4}\) |
| B. | \(tan^{-1}\frac{1}{2}\) |
| C. | \(tan^{-1}2\) |
| D. | \(tan^{-1}4\) |
| Answer» E. | |
| 46. |
If a ball is thrown with a velocity of 30 m/s at 15° angle with the horizontal, then how far will the ball hit the ground (in meters)? (use g = 10 m/s2) |
| A. | 40 |
| B. | 50 |
| C. | 45 |
| D. | 35 |
| Answer» D. 35 | |
| 47. |
For maximum horizontal range, the angle of projection of a projectile should be |
| A. | 30° |
| B. | 45° |
| C. | 60° |
| D. | 90° |
| Answer» C. 60° | |
| 48. |
A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance R from it. If t1 and t2 are the values of the time taken by it to hit the target in two possible ways, the product t1t2 is: |
| A. | R/4g |
| B. | R/g |
| C. | R/2g |
| D. | 2R/g |
| Answer» E. | |
| 49. |
A ball is thrown upwards at an angle 'α' and it returns to ground describing a parabolic path. Which of the following remains constant |
| A. | Kinetic energy of the ball |
| B. | Speed of the ball |
| C. | Horizontal component of velocity |
| D. | Vertical component of velocity |
| Answer» D. Vertical component of velocity | |
| 50. |
A body executing uniform circular motion has at any instant its velocity vector and acceleration vector |
| A. | along the same direction |
| B. | opposite direction |
| C. | normal to each other |
| D. | not related to each other |
| Answer» D. not related to each other | |