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A sonometer wire is vibrating in the second overtone. It means that there are
- a)one node and two antinodes
- b)two nodes and two antinodes
- c)four nodes and three antinodes
- d)three nodes and three antinode
Correct answer is option 'C'. Can you explain this answer?
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A sonometer wire is vibrating in the second overtone. It means that th...
Explanation:
A sonometer wire is a device used to study the properties of vibrating strings. It consists of a long, thin wire stretched between two fixed supports. When the wire is plucked or struck, it vibrates and produces sound waves.
The second overtone of a vibrating string is the second harmonic frequency, which is twice the fundamental frequency of the string. In other words, if the fundamental frequency is f, the second overtone frequency is 2f.
When a sonometer wire is vibrating in the second overtone, it means that the wire is vibrating with a frequency that is twice the fundamental frequency. This produces a standing wave pattern on the wire, which has a specific number of nodes and antinodes.
Nodes are points on the wire that do not vibrate, while antinodes are points on the wire that vibrate with maximum amplitude. The number of nodes and antinodes in a standing wave pattern depends on the harmonic frequency of the vibration.
In the case of the second overtone, the wire vibrates with two nodes and three antinodes. The nodes are located at the two ends of the wire, while the three antinodes are located at equal distances along the wire.
Therefore, the correct answer is option 'C', which states that a sonometer wire vibrating in the second overtone has four nodes and three antinodes.
Summary:
- A sonometer wire is a device used to study the properties of vibrating strings.
- The second overtone of a vibrating string is the second harmonic frequency, which is twice the fundamental frequency of the string.
- When a sonometer wire is vibrating in the second overtone, it produces a standing wave pattern on the wire with four nodes and three antinodes.
A sonometer wire is a device used to study the properties of vibrating strings. It consists of a long, thin wire stretched between two fixed supports. When the wire is plucked or struck, it vibrates and produces sound waves.
The second overtone of a vibrating string is the second harmonic frequency, which is twice the fundamental frequency of the string. In other words, if the fundamental frequency is f, the second overtone frequency is 2f.
When a sonometer wire is vibrating in the second overtone, it means that the wire is vibrating with a frequency that is twice the fundamental frequency. This produces a standing wave pattern on the wire, which has a specific number of nodes and antinodes.
Nodes are points on the wire that do not vibrate, while antinodes are points on the wire that vibrate with maximum amplitude. The number of nodes and antinodes in a standing wave pattern depends on the harmonic frequency of the vibration.
In the case of the second overtone, the wire vibrates with two nodes and three antinodes. The nodes are located at the two ends of the wire, while the three antinodes are located at equal distances along the wire.
Therefore, the correct answer is option 'C', which states that a sonometer wire vibrating in the second overtone has four nodes and three antinodes.
Summary:
- A sonometer wire is a device used to study the properties of vibrating strings.
- The second overtone of a vibrating string is the second harmonic frequency, which is twice the fundamental frequency of the string.
- When a sonometer wire is vibrating in the second overtone, it produces a standing wave pattern on the wire with four nodes and three antinodes.
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A sonometer wire is vibrating in the second overtone. It means that there area)one node and two antinodesb)two nodes and two antinodesc)four nodes and three antinodesd)three nodes and three antinodeCorrect answer is option 'C'. Can you explain this answer?
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