
Помогите пожалуйста решить задачу по физике У лазерного луча попавшего на компакт-диск длина волны
620 nm. Изображении дифракции сместилось от центрального изображения на 31 градус. 1.Определите расстояние с одной записанной дорожки до другой. 2.Объясни как можно определить число дорожек на полном компакт-диске и общую длину дорожек.

Ответы на вопрос




Task Analysis
To solve this physics problem, we need to determine the distance between two recorded tracks on a compact disc (CD) and explain how to determine the number of tracks on a full CD and the total length of the tracks.Solution
1. Determining the distance between two recorded tracks: - The displacement of the diffraction image from the central image can be used to calculate the angle of diffraction. - We are given that the laser beam wavelength is 620 nm and the displacement angle is 31 degrees. - To find the distance between two recorded tracks, we can use the formula for the angular separation of two adjacent bright spots in a diffraction pattern: θ = λ / d where θ is the angular separation, λ is the wavelength, and d is the distance between the tracks. - Rearranging the formula, we can solve for d: d = λ / θ - Substituting the given values, we have: d = (620 nm) / (31 degrees) - Converting the wavelength to meters and the angle to radians: d = (620 × 10^(-9) m) / (31 × (π/180) radians) - Evaluating the expression: d ≈ 1.001 × 10^(-5) m - Therefore, the distance between two recorded tracks on the CD is approximately 1.001 × 10^(-5) meters.2. Determining the number of tracks and the total length of tracks on a full CD: - To determine the number of tracks on a full CD, we need to know the radius of the CD and the width of each track. - The total length of the tracks can be calculated by multiplying the number of tracks by the circumference of the CD. - Unfortunately, the given information does not provide the necessary data to directly calculate the number of tracks or the total length of tracks on a full CD. - However, we can provide a general explanation of how these values can be determined: - The number of tracks on a full CD depends on the manufacturing specifications and can vary. - The total length of tracks on a full CD can be calculated using the formula: Total length = Number of tracks × Circumference of the CD - The circumference of the CD can be calculated using the formula: Circumference = 2πr where r is the radius of the CD. - To determine the number of tracks, one could measure the width of a single track and divide the circumference of the CD by the width of the track. - To determine the total length of tracks, one could multiply the number of tracks by the circumference of the CD. - Without specific measurements or additional information, it is not possible to provide an exact answer for the number of tracks or the total length of tracks on a full CD.
Please note that the calculations provided are based on the given information and assumptions. The actual values may vary depending on the specific CD and manufacturing specifications.
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