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Transfer progressive wave on a stretch string has a velocity of 10 M transfer progressive wave on a stretch string has a velocity of 10 m/s and frequency 100 hertz the face difference between two particle of string are 2.5 CM apart will be?
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Transfer progressive wave on a stretch string has a velocity of 10 M t...
Understanding Wave Properties
When analyzing a progressive wave on a stretched string, several key properties come into play, including wave velocity, frequency, and phase difference between particles.
Given Parameters:
- Wave Velocity (v): 10 m/s
- Frequency (f): 100 Hz
- Distance between particles: 2.5 cm (0.025 m)
Wave Length Calculation:
To find the wavelength (λ) of the wave, use the formula:
- λ = v / f
- λ = 10 m/s / 100 Hz = 0.1 m (10 cm)
Phase Difference Calculation:
The phase difference (Δφ) between two particles in a wave can be calculated using:
- Δφ = (2π / λ) * Δx
Where Δx is the distance between the two particles.
- Substituting values:
- Δx = 0.025 m
- λ = 0.1 m
Now, calculate the phase difference:
- Δφ = (2π / 0.1 m) * 0.025 m
- Δφ = (20π) * 0.025
- Δφ = 0.5π radians
Conclusion:
The phase difference between two particles of the string that are 2.5 cm apart is 0.5π radians, which is equivalent to 90 degrees. This indicates that these particles are a quarter of a wavelength apart, experiencing a significant phase shift in their oscillation.
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Passage 2Newtons surprising success at developing the laws of motion, as well as the development and refinement of other physical laws, led to the idea of scientific determinism. The first expression of this principle was in the beginning of the nineteenth century by Laplace, a French scientist. Laplace argued that if one knew the position and velocity of all the particles in the universe at a given time, the laws of physics would be able to predict the future state ofthe universe.Scientific determinism held sway over a great many scientists until the early twentieth century, when the quantum mechanics revolution occurred. Quantum mechanics introduced the world to the idea of the uncertainty principle, which stated that it was impossible to accurately measure both the position and the velocity of a particle at one time. Because Laplaces omniscience could never occur, even in theory, the principle of scientific determinism was thrown into doubt. However, quantum mechanics does allow for a reduced form of scientific determinism. Even though physicists are unable to know precisely where a particle is and what its velocity is, they can determine certain probabilities about its position and velocity. These probabilities are called wave functions. By use of a formula known as the Schrodinger equation, a scientist with the wave function of a particle at a given time can calculate the particles future wave function. These calculations can give the particles position or velocity, but not both. Thus, the physicist is in possession of exactly half ofthe information needed to satisfy Laplaces view ofdeterminism. Unfortunately, under modern physics theories, that is far as any researcher can go in predicting the future.Q. The passage suggests that if scientific determinism were true

Passage 2Newtons surprising success at developing the laws of motion, as well as the development and refinement of other physical laws, led to the idea of scientific determinism. The first expression of this principle was in the beginning of the nineteenth century by Laplace, a French scientist. Laplace argued that if one knew the position and velocity of all the particles in the universe at a given time, the laws of physics would be able to predict the future state ofthe universe.Scientific determinism held sway over a great many scientists until the early twentieth century, when the quantum mechanics revolution occurred. Quantum mechanics introduced the world to the idea of the uncertainty principle, which stated that it was impossible to accurately measure both the position and the velocity of a particle at one time. Because Laplaces omniscience could never occur, even in theory, the principle of scientific determinism was thrown into doubt. However, quantum mechanics does allow for a reduced form of scientific determinism. Even though physicists are unable to know precisely where a particle is and what its velocity is, they can determine certain probabilities about its position and velocity. These probabilities are called wave functions. By use of a formula known as the Schrodinger equation, a scientist with the wave function of a particle at a given time can calculate the particles future wave function. These calculations can give the particles position or velocity, but not both. Thus, the physicist is in possession of exactly half ofthe information needed to satisfy Laplaces view ofdeterminism. Unfortunately, under modern physics theories, that is far as any researcher can go in predicting the future.Q. According to the passage, wave functions

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Transfer progressive wave on a stretch string has a velocity of 10 M transfer progressive wave on a stretch string has a velocity of 10 m/s and frequency 100 hertz the face difference between two particle of string are 2.5 CM apart will be?
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