G11-6-1-1 PDF - Physics Past Paper

1. What is the term used for the vibration of a string in one single segment? A. Second harmonic B. Fundamental C. Third overtone D. Fourth harmonic 2. What is the formula for calculating the frequency of the nth harmonic in terms of tension and mass per unit length? A. fn = √(T/μ) B. fn = μ/T C. f...

1. What is the term used for the vibration of a string in one single segment? A. Second harmonic B. Fundamental C. Third overtone D. Fourth harmonic 2. What is the formula for calculating the frequency of the nth harmonic in terms of tension and mass per unit length? A. fn = √(T/μ) B. fn = μ/T C. fn = T/μ D. fn = T + μ 3. What is the effect of increasing the tension of a string on the wave velocity? A. Increases wave velocity B. Decreases wave velocity C. No effect on wave velocity D. Depends on the mass of the string 4. How is the frequency of the nth harmonic expressed in terms of wave velocity and length? A. fn = v/n B. fn = n/v C. fn = 2v/L D. fn = v/2L 5. What does the equation v = fλ represent in the context of wave motion? A. Velocity equals tension divided by mass B. Frequency equals velocity divided by tension C. Velocity equals frequency times wavelength D. Wavelength equals mass per unit length 6. Which harmonic corresponds to the fourth overtone? A. First harmonic B. Second harmonic C. Third harmonic D. Fourth harmonic 7. What is the term for a musical tone that is part of the harmonic series above a fundamental note? A. Fundamental B. Harmonic C. Overtone D. Segment 8. What is the frequency of the first harmonic (fundamental) of a vibrating string? A. f1 = v/L B. f1 = v/2L C. f1 = 2v/L D. f1 = 2L/v 9. What is the relationship between wave velocity, tension, and mass per unit length in a vibrating string? A. V = T/μ B. V = μ/T C. V = √(T/μ) D. V = T + μ 10. Which formula relates the frequency of a vibrating string to its harmonic number? A. f = v/2L B. f = v/n C. f = n/v D. f = 2L/v 11. In the context of vibrating strings, what does the symbol 'n' represent? A. Tension B. Harmonic number C. Wave speed D. Mass per unit length 12. If the length of a vibrating string is halved, what happens to the frequency of the fundamental tone? A. It remains the same B. It doubles C. It halves D. It quadruples 13. What is the effect of tension on the frequency of a vibrating string? A. Decreases frequency B. No effect C. Increases frequency D. Only affects amplitude 14. What is the third harmonic of a vibrating string also known as? A. First overtone B. Fundamental frequency C. Second overtone D. Fourth harmonic 15. What is the relationship between the length of a string and its fundamental frequency? A. Inversely proportional B. No relationship C. Directly proportional D. Exponential relationship 16. What is the term for the maximum displacement points in a stationary wave? A. Antinodes B. Waves C. Nodes D. Frequencies 17. What is the primary source of sound in stringed musical instruments? A. Vibrating strings B. Percussion C. Air columns D. Electric signals 18. What type of interference occurs at nodes in a stationary wave? A. Destructive interference B. Constructive interference C. Superposition D. Progressive interference 19. What is the second harmonic of a vibrating string also known as? A. First overtone B. Fundamental frequency C. Second overtone D. Third harmonic 20. In a stationary wave, what is the relationship between nodes and antinodes? A. They are the same B. Nodes are points of maximum amplitude C. Antinodes are points of minimum amplitude D. Nodes are points of minimum amplitude 21. What is the effect of plucking a string on its stationary wave pattern? A. It produces stationary waves B. It eliminates all harmonics C. It creates a progressive wave D. It only produces the first harmonic 22. Which harmonic is referred to as the first overtone? A. Third harmonic B. Second harmonic C. First harmonic D. Fourth harmonic 23. What does the variable 'A' represent in the mass per unit length formula? A. Density of the material B. Length of the string C. Cross-sectional area D. Volume of the string 24. What is the primary factor that determines the frequency of the fundamental mode of a vibrating string? A. Tension in the string B. Mass of the string C. Length of the string D. All of the above 25. Which harmonic corresponds to a frequency that is three times the fundamental frequency? A. Second harmonic B. Third harmonic C. First harmonic D. Fourth harmonic 26. What is the effect of increasing the length of a string on its fundamental frequency? A. It increases the frequency B. It decreases the frequency C. It has no effect D. It doubles the frequency 27. In the context of string vibrations, what does 'volume' refer to? A. The length of the string B. The space occupied by the string C. The mass of the string D. The area of the string 28. What does the term 'third harmonic' refer to in a vibrating string? A. The second overtone B. The fundamental frequency C. The first overtone D. The lowest frequency mode 29. If the density of a string is increased while keeping the volume constant, what happens to the mass per unit length (μ)? A. It increases B. It decreases C. It remains the same D. It becomes zero 30. What is the relationship between the fundamental frequency and the harmonics of a vibrating string? A. Harmonics are multiples of the fundamental frequency B. Harmonics are independent of the fundamental frequency C. Harmonics are fractions of the fundamental frequency D. Harmonics are always equal to the fundamental frequency 31. In the equation μ = P * A, what does 'μ' stand for? A. Mass per unit length B. Mass of the string C. Density of the material D. Volume of the string 32. What is the significance of the term 'uniform cross-sectional area' in the context of a string? A. It ensures consistent mass distribution B. It determines the frequency of the harmonics C. It affects the tension in the string D. It influences the length of the string 33. If the mass of the string is represented by 'm', how is it calculated in terms of density and volume? A. m = P * A B. m = A * V C. m = P * V D. m = P / V 34. What happens to the frequency of a vibrating string as its length decreases? A. It decreases B. It remains the same C. It increases D. It becomes zero 35. For the third harmonic, what is the frequency in terms of the fundamental frequency? A. f3 = 2f1 B. f3 = 3f1 C. f3 = f1 D. f3 = f1/3 36. What is the relationship between mass per unit length (μ) and the density (P) of the string? A. μ = P / A B. μ = A / P C. μ = P * A D. μ = P * V 37. In the context of a vibrating string, what does 'n' represent in harmonic frequencies? A. The length of the string B. The number of nodes C. The harmonic number D. The mass of the string 38. What is the formula for the second harmonic frequency in terms of the fundamental frequency? A. f2 = f1/2 B. f2 = 3f1 C. f2 = 2f1 D. f2 = f1 39. What is the wavelength of the first harmonic in terms of the length of the string? A. λ = 2L B. λ = L C. λ = L/2 D. λ = L/4 40. In the equation v = √(T/μ), what does 'T' represent? A. Wave velocity B. Mass per unit length C. Tension of the string D. Frequency 41. What is the harmonic number for the second overtone? A. 2 B. 1 C. 3 D. 4 42. Which of the following is NOT a factor affecting the wave velocity in a vibrating string? A. Tension B. Length of the string C. Mass per unit length D. Frequency 43. What is the unit of mass per unit length (μ) in the context of vibrating strings? A. m/s B. N/m C. kg/m D. kg 44. What is the relationship between harmonic number and the frequency of a vibrating string? A. Higher harmonic numbers correspond to higher frequencies B. Higher harmonic numbers correspond to lower frequencies C. Harmonic numbers do not affect frequency D. All harmonics have the same frequency 45. What type of interference occurs when two waves combine to form a wave with a larger amplitude? A. Constructive interference B. Stationary wave formation C. Destructive interference D. Progressive wave formation 46. If the distance between two consecutive nodes is 0.5 m, what is the distance between two successive antinodes? A. 0.25 m B. 1 m C. 0.5 m D. 2 m 47. Where are antinodes located in relation to nodes? A. Between nodes B. At the same position as nodes C. At the ends of the wave D. At random positions 48. What is the distance between two successive nodes in a stationary wave pattern? A. Twice the wavelength B. Equal to the wavelength C. Half the wavelength D. One-fourth the wavelength 49. What are the points in a stationary wave that remain stationary called? A. Wavelengths B. Nodes C. Antinodes D. Frequencies 50. What happens to the energy of a wave as it travels through a medium? A. It remains constant B. It decreases C. It increases D. It disappears 51. What is the primary purpose of analyzing stationary waves in musical instruments? A. To understand sound intensity B. To investigate wave propagation C. To examine sound production D. To study wave reflection 52. What is the term for the waves produced when a stone is dropped in water? A. Standing waves B. Progressive waves C. Stationary waves D. Resonant waves 53. What type of waves are produced in hollow tubes like flutes? A. Stationary waves B. Progressive waves C. Both types of waves D. None of the above 54. What is the effect of holding one end of a string while the other end is vibrated? A. It stops the wave B. It creates a progressive wave C. It creates a stationary wave D. It amplifies the sound 55. What is the main difference between progressive waves and stationary waves? A. Progressive waves do not spread out B. Stationary waves remain in the region they are produced C. Stationary waves carry energy D. Progressive waves are always larger 56. What is the amplitude of the wave at the antinode? A. Zero B. Maximum C. Minimum D. Average 57. Which of the following best describes stationary waves? A. Waves that spread out B. Waves that carry energy C. Waves that do not move from their position D. Waves that are always destructive 58. What is the role of the electric vibrator in the formation of stationary waves? A. To absorb sound B. To create incident waves C. To reflect the waves D. To amplify the sound 59. What is the primary characteristic of progressive waves? A. They remain in the same region B. They spread out from their source C. They do not carry energy D. They are always stationary 60. What is the effect called when the resultant wave has a smaller amplitude than the individual waves? A. Stationary wave formation B. Constructive interference C. Destructive interference D. Progressive wave formation 61. What is the result of two waves of equal amplitude traveling in opposite directions? A. Progressive wave B. Stationary wave C. Destructive interference D. Constructive interference 62. In the context of sound production, what is a resonance column? A. A type of string instrument B. A hollow tube that produces sound C. A solid object that vibrates D. A type of wave 63. What is a stationary wave also known as? A. Standing wave B. Progressive wave C. Traveling wave D. Resonant wave 64. What happens to the amplitude of waves during constructive interference? A. It increases B. It decreases C. It remains the same D. It becomes zero 65. Which of the following is an example of a progressive wave? A. Waves in a string instrument B. Waves in a flute C. Sound waves traveling in air D. Standing waves in a tube 66. What is the principle that describes the resultant wave formed by the superposition of two waves? A. Principle of Superposition B. Principle of Reflection C. Principle of Interference D. Principle of Resonance 67. What type of wave pattern is characterized by nodes and antinodes? A. Longitudinal wave B. Stationary wave C. Transverse wave D. Surface wave 68. What is the term for the frequencies at which a string vibrates? A. Nodes B. Harmonics C. Antinodes D. Waves 69. What is created at the locations where constructive interference occurs in a stationary wave? A. Nodes B. Waves C. Antinodes D. Frequencies 70. How many nodes are present in the first harmonic of a vibrating string? A. Three B. Two C. One D. Four 71. What type of wave is formed when a string is plucked? A. Progressive wave B. Stationary wave C. Transverse wave D. Longitudinal wave 72. What is the first harmonic of a vibrating string also known as? A. Second overtone B. Fundamental frequency C. First overtone D. Third harmonic 73. In a vibrating string, what are the points called where there is no movement? A. Harmonics B. Nodes C. Antinodes D. Waves 74. What phenomenon occurs when two waves meet and combine their effects? A. Superposition B. Destructive interference C. Constructive interference D. Stationary wave 75. In a stationary wave, what is the relationship between the amplitude at nodes and antinodes? A. Both have the same amplitude B. Nodes have higher amplitude C. Antinodes have higher amplitude D. Amplitude is irrelevant 76. What is the distance from a node to the nearest antinode if the distance between nodes is 0.5 m? A. 0.25 m B. 0.5 m C. 1 m D. 0.75 m 77. What is the distance between two successive antinodes if the distance between nodes is 0.5 m? A. 1 m B. 0.25 m C. 0.5 m D. 2 m 78. What type of waves do musical instruments primarily produce? A. Progressive waves B. Stationary waves C. Both progressive and stationary waves D. None of the above 79. If the distance between two nodes is 0.5 m, what is the wavelength of the wave? A. 2 m B. 1 m C. 0.5 m D. 0.25 m 80. What is the significance of nodes in a stationary wave? A. They indicate the wave's frequency B. They represent points of maximum energy C. They are points of zero displacement D. They are points of maximum amplitude 81. In a stationary wave, how does the distance between nodes compare to the distance between antinodes? A. They are the same B. Distance between nodes is half that of antinodes C. Distance between nodes is twice that of antinodes D. There is no relationship 82. What is the term for the points of maximum displacement in a stationary wave? A. Wavelengths B. Antinodes C. Nodes D. Crests 83. If the wavelength of a wave is 1 m, what is the distance between two consecutive nodes? A. 0.5 m B. 2 m C. 1 m D. 0.25 m 84. What is the relationship between nodes and antinodes in terms of their positions? A. They alternate and are equally spaced B. They are always at the same position C. They are randomly distributed D. They are only found at the ends 85. In a stationary wave, what happens to the amplitude as you move from a node to an antinode? A. It remains constant B. It decreases C. It increases D. It fluctuates 86. What is the distance from a node to the nearest antinode? A. 0.5 m B. 0.25 m C. 1 m D. 0.75 m 87. How are nodes and antinodes spaced in a stationary wave? A. Equally spaced B. Unequally spaced C. Randomly D. In clusters