MCQOPTIONS
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This section includes 20 Mcqs, each offering curated multiple-choice questions to sharpen your UPSEE knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The displacement of a simple harmonic motion doing oscillation when kinetic energy = potential energy (amplitude = 4cm) is? |
| A. | 2√2cm |
| B. | 2cm |
| C. | 1/√2 cm |
| D. | √2 cm |
| Answer» B. 2cm | |
| 2. |
Which of the following functions represents a simple harmonic oscillation? |
| A. | sinωt-cosωt |
| B. | sinωt+sin2ωt |
| C. | sinωt-sin2ωt |
| D. | sin2 ωt |
| Answer» B. sinωt+sin2ωt | |
| 3. |
What is the time period of a pendulum hanged in a satellite? (T is the time period on earth) |
| A. | Zero |
| B. | T |
| C. | Infinite |
| D. | T/√6 |
| Answer» D. T/√6 | |
| 4. |
Statement: In simple harmonic motion, the velocity is maximum, when the acceleration is minimum.Reason: Displacement and velocity in simple harmonic motion is differ in phase by π/2. |
| A. | Both statement and reason are true and the reason is the correct explanation of the statement |
| B. | Both statement and reason are true but the reason is not the correct explanation of the statement |
| C. | Statement is true, but the reason is false |
| D. | Statement and reason are false |
| Answer» C. Statement is true, but the reason is false | |
| 5. |
A lightly damped oscillator with a frequency v is set in motion by a harmonic driving force of frequency v’. When v’ is lesser than v, then the response of the oscillator is controlled by ___________ |
| A. | Spring constant |
| B. | Inertia of the mass |
| C. | Oscillator frequency |
| D. | Damping coefficient |
| Answer» B. Inertia of the mass | |
| 6. |
There is a simple pendulum hanging from the ceiling of a lift. When the lift is standstill, the time period of the pendulum is T. If the resultant acceleration becomes g/4, then the new time period of the pendulum is? |
| A. | 0.8T |
| B. | 0.25T |
| C. | 2T |
| D. | 4T |
| Answer» D. 4T | |
| 7. |
A simple pendulum is attached to the roof of a lift. If the time period of oscillation, when the lift is stationary is T, then the frequency of oscillation when the lift falls freely, will be ___________ |
| A. | Zero |
| B. | T |
| C. | 1/T |
| D. | ∞ |
| Answer» B. T | |
| 8. |
A spring of force constant 800N/m has an extension of 5cm. The work done in extending it from 5cm to 15cm is? |
| A. | 8J |
| B. | 16J |
| C. | 24J |
| D. | 32J |
| Answer» B. 16J | |
| 9. |
An object of mass 0.2kg executes simple harmonic motion along the x-axis with a frequency of (25/π)Hz. At the position x = 0.04, the object has kinetic energy of 0.5J and potential energy 0.4J. The amplitude of oscillation is? |
| A. | 6cm |
| B. | 4cm |
| C. | 8cm |
| D. | 2cm |
| Answer» B. 4cm | |
| 10. |
The motion of the earth about its axis is periodic and simple harmonic. |
| A. | True |
| B. | False |
| Answer» C. | |
| 11. |
The displacement of a simple harmonic motion doing oscillation when kinetic energy = potential energy (amplitude = 4cm) is |
| A. | 2√2cm |
| B. | 2cm |
| C. | 1/√2 cm |
| D. | √2 cm |
| Answer» B. 2cm | |
| 12. |
Which of the following functions represents a simple harmonic oscillation? |
| A. | sinωt-cosωt |
| B. | sinωt+sin2ωt |
| C. | sinωt-sin2ωt |
| D. | sin2 ωt |
| Answer» B. sinωt+sin2ωt | |
| 13. |
What is the time period of a pendulum hanged in a satellite? (T is the time period on earth) |
| A. | Zero |
| B. | T |
| C. | Infinite |
| D. | T/√6 |
| Answer» D. T/√6 | |
| 14. |
Statement: In simple harmonic motion, the velocity is maximum, when the acceleration is minimum Reason: Displacement and velocity in simple harmonic motion is differ in phase by π/2 |
| A. | Both statement and reason are true and the reason is the correct explanation of the statement |
| B. | Both statement and reason are true but the reason is not the correct explanation of the statement |
| C. | Statement is true, but the reason is false |
| D. | Statement and reason are false |
| Answer» C. Statement is true, but the reason is false | |
| 15. |
A lightly damped oscillator with a frequency v is set in motion by a harmonic driving force of frequency v’. When v’ is lesser than v, then the response of the oscillator is controlled by |
| A. | Spring constant |
| B. | Inertia of the mass |
| C. | Oscillator frequency |
| D. | Damping coefficient |
| Answer» B. Inertia of the mass | |
| 16. |
There is a simple pendulum hanging from the ceiling of a lift. When the lift is standstill, the time period of the pendulum is T. If the resultant acceleration becomes g/4, then the new time period of the pendulum is |
| A. | 0.8T |
| B. | 0.25T |
| C. | 2T |
| D. | 4T |
| Answer» D. 4T | |
| 17. |
A simple pendulum is attached to the roof of a lift. If the time period of oscillation, when the lift is stationary is T, then the frequency of oscillation when the lift falls freely, will be |
| A. | Zero |
| B. | T |
| C. | 1/T |
| D. | ∞ |
| Answer» B. T | |
| 18. |
A spring of force constant 800N/m has an extension of 5cm. The work done in extending it from 5cm to 15cm is |
| A. | 8J |
| B. | 16J |
| C. | 24J |
| D. | 32J |
| Answer» B. 16J | |
| 19. |
An object of mass 0.2kg executes simple harmonic motion along the x-axis with a frequency of (25/π)Hz. At the position x = 0.04, the object has kinetic energy of 0.5J and potential energy 0.4J. The amplitude of oscillation is |
| A. | 6cm |
| B. | 4cm |
| C. | 8cm |
| D. | 2cm |
| Answer» B. 4cm | |
| 20. |
The motion of the earth about its axis is periodic and simple harmonic. |
| A. | True False |
| B. | False |
| Answer» C. | |