MCQOPTIONS
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MCQOPTIONS
This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Physics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Centre of mass can vary upon the application of internal force. |
| A. | True |
| B. | False |
| Answer» C. | |
| 2. |
From the figure, find out the perpendicular distance of the centre of mass of the system from side AB. ABCD is a square of side 2 m. |
| A. | 1.33 m |
| B. | 1 m |
| C. | 1.5 m |
| D. | 0.33 m |
| Answer» B. 1 m | |
| 3. |
The coordinates of the centre of mass of the system shown in the figures are _____ |
| A. | (0, 0) |
| B. | (1.33L, 0.167L) |
| C. | (L, L) |
| D. | (0.33L, 1.67L) |
| Answer» C. (L, L) | |
| 4. |
Three identical spheres each of radius R are placed such that their centres lie on a straight line. What is the location of their centre of mass from the centre of the first sphere? |
| A. | R |
| B. | 2R |
| C. | 3R |
| D. | 4R |
| Answer» C. 3R | |
| 5. |
A uniform disc of radius R is put over another uniform disc of radius 2R of same thickness and density. The edges of the two discs touch each other. What is the position of their centre of mass? |
| A. | at 5R/3 from the centre of the larger disc |
| B. | at 2R/3 from the centre of the larger disc |
| C. | at 3R/5 from the centre of the larger disc |
| D. | at 2R/5 from the centre of the larger disc |
| Answer» D. at 2R/5 from the centre of the larger disc | |
| 6. |
A ball of mass 3 kg and a ball of mass 2 kg roll towards each other on a flat surface. How far is the centre of mass from the 3 kg ball of the 2 balls are separated by 6 m? |
| A. | 1.2 m |
| B. | 2.4 m |
| C. | 3.6 m |
| D. | 4.8 m |
| Answer» C. 3.6 m | |
| 7. |
Two particles of masses 2 kg and 3 kg are at rest and are separated by 10 m. If they move towards each other under the mutual force of attraction, they would meet at _____ |
| A. | 6 m from 4 kg body |
| B. | 6 m from 6 kg body |
| C. | 4 m from 4 kg body |
| D. | 5 m from 6 kg body |
| Answer» B. 6 m from 6 kg body | |
| 8. |
The distance between the centres of carbon and oxygen in the carbon monoxide molecules is 1.13 x 10-10 m. The distance of the centre of mass of the molecule relative to the oxygen atom is _____ |
| A. | 0.48 x 10-10 m |
| B. | 0.64 x 10-10 m |
| C. | 0.56 x 10-10 m |
| D. | 0.36 x 10-10 m |
| Answer» B. 0.64 x 10-10 m | |
| 9. |
Three objects of mass 1 kg each are placed at corners of a right-angled triangle AOB as shown in the figure. Consider ‘O’ as the origin and OA = OB = 1m. Determine the position of the centre of mass of this system. a) 1/3 (i- j) mb) 2/3 (i + j) mc) 1/3 (i+ j) md) (i- j) m 7.Four objects of mass 1 kg each are placed on 4 corners of a square of side 1 m as shown in the figure. Consider “O” to be the origin. What is the position of the centre of mass? |
| A. | 1/3 (i- j) mb) 2/3 (i + j) mc) 1/3 (i+ j) md) (i- j) m 7.Four objects of mass 1 kg each are placed on 4 corners of a square of side 1 m as shown in the figure. Consider “O” to be the origin. What is the position of the centre of mass? a) (i + j) m |
| B. | 2/3 (i + j) mc) 1/3 (i+ j) md) (i- j) m 7.Four objects of mass 1 kg each are placed on 4 corners of a square of side 1 m as shown in the figure. Consider “O” to be the origin. What is the position of the centre of mass? a) (i + j) mb) 1/2 (i + j) m |
| C. | 1/3 (i+ j) md) (i- j) m 7.Four objects of mass 1 kg each are placed on 4 corners of a square of side 1 m as shown in the figure. Consider “O” to be the origin. What is the position of the centre of mass? a) (i + j) mb) 1/2 (i + j) mc) (i– j) m |
| D. | (i- j) m 7.Four objects of mass 1 kg each are placed on 4 corners of a square of side 1 m as shown in the figure. Consider “O” to be the origin. What is the position of the centre of mass? a) (i + j) mb) 1/2 (i + j) mc) (i– j) md) 1/2 (i – j) mView Answer |
| Answer» D. (i- j) m 7.Four objects of mass 1 kg each are placed on 4 corners of a square of side 1 m as shown in the figure. Consider “O” to be the origin. What is the position of the centre of mass? a) (i + j) mb) 1/2 (i + j) mc) (i– j) md) 1/2 (i – j) mView Answer | |
| 10. |
Masses 1 kg, 1.5 kg, 2 kg, and “M” kg are situated at (2,1,1), (1,2,1), (2,-2,1) and (-1,4,3). What is the value of “M” if their centre of mass is at (1,1,3/2)?a) 1 kgb) 1.5 kgc) 2 kgd) 2.5 kg 5.Particles of masses 1 kg and 3 kg are at (2i+5j+13k) m and (-6i+4j-2k) m. What is the position of their centre of mass? |
| A. | 1 kgb) 1.5 kgc) 2 kgd) 2.5 kg 5.Particles of masses 1 kg and 3 kg are at (2i+5j+13k) m and (-6i+4j-2k) m. What is the position of their centre of mass?a) 1/4 (-16i + 17j + 7k) m |
| B. | 1.5 kgc) 2 kgd) 2.5 kg 5.Particles of masses 1 kg and 3 kg are at (2i+5j+13k) m and (-6i+4j-2k) m. What is the position of their centre of mass?a) 1/4 (-16i + 17j + 7k) mb) 1/4 (-8i + 17j + 7k) m |
| C. | 2 kgd) 2.5 kg 5.Particles of masses 1 kg and 3 kg are at (2i+5j+13k) m and (-6i+4j-2k) m. What is the position of their centre of mass?a) 1/4 (-16i + 17j + 7k) mb) 1/4 (-8i + 17j + 7k) mc) 1/4 (-6i + 17j + 7k) m |
| D. | 2.5 kg 5.Particles of masses 1 kg and 3 kg are at (2i+5j+13k) m and (-6i+4j-2k) m. What is the position of their centre of mass?a) 1/4 (-16i + 17j + 7k) mb) 1/4 (-8i + 17j + 7k) mc) 1/4 (-6i + 17j + 7k) md) 1/4 (-6i + 17j + 5k) mView Answer |
| Answer» C. 2 kgd) 2.5 kg 5.Particles of masses 1 kg and 3 kg are at (2i+5j+13k) m and (-6i+4j-2k) m. What is the position of their centre of mass?a) 1/4 (-16i + 17j + 7k) mb) 1/4 (-8i + 17j + 7k) mc) 1/4 (-6i + 17j + 7k) m | |
| 11. |
The coordinates of the centre of mass of objects of mass 10, 20, 30 kg are (1,1,1) m. Where should an object of mass 40 kg be placed such that the centre of mass of this new system lies at (0,0,0)? |
| A. | 3/2, 3/2, 3/2 |
| B. | -3/2, -3/2, -3/2 |
| C. | 3/4, 3/4, 3/4 |
| D. | -3/4, -3/4, -3/4 |
| Answer» C. 3/4, 3/4, 3/4 | |
| 12. |
Two bodies of masses 5kg and 15kg are located in the cartesian plane at (1,0) and (0,1). What is the location of their centre of mass? |
| A. | 1/4, 1/4 |
| B. | 3/4, 3/4 |
| C. | 3/4, 1/4 |
| D. | 1/4, 3/4 |
| Answer» E. | |
| 13. |
The centre of masses of two particles with masses 2 kg and 1 kg located at (1,0,1) and (2,2,0) is located at _____ |
| A. | 4/3, 2/3, 2/3 |
| B. | 2/3, 4/3, 2/3 |
| C. | 2/3, 2/3, 4/3 |
| D. | 1/3, 2/3, 2/3 |
| Answer» B. 2/3, 4/3, 2/3 | |