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Ch. 34 - The Wave Nature of Light: Interference and Polarization
Giancoli Douglas - Physics for Scientists and Engineers 5th edition
Giancoli Douglas5th editionPhysics for Scientists and EngineersISBN: 9780137488179당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Giancoli Douglas 5th editionCh. 34 - The Wave Nature of Light: Interference and Polarization문제 84
33장, 문제 84

Two narrow slits 0.070 mm apart are illuminated by a very bright 488-nm light source forming an interference pattern on a screen 4.0 m away. Calculate (a) the distance between the m = 0 and m = 1 lines in the pattern and (b) the distance between the m = 100 and m = 101 lines.

검증된 단계별 안내
1
Identify the given values: wavelength (λ) = 488 nm, distance between slits (d) = 0.070 mm, distance to screen (L) = 4.0 m. Convert all measurements to meters for consistency.
Use the formula for the position of the bright fringes in a double-slit interference pattern: y_m = (m * λ * L) / d, where m is the order of the fringe.
Calculate the position of the m = 0 fringe (central maximum) using the formula. Since m = 0, y_0 = 0.
Calculate the position of the m = 1 fringe using the formula. Substitute m = 1 into the formula to find y_1.
To find the distance between the m = 100 and m = 101 fringes, calculate the positions y_100 and y_101 using the same formula, and then find the difference between these two positions.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
15m

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Young's Double Slit Experiment

This experiment demonstrates the wave nature of light through the interference pattern created when light passes through two closely spaced slits. The resulting pattern consists of bright and dark fringes due to constructive and destructive interference, respectively. The positions of these fringes can be calculated using the wavelength of the light and the distance between the slits.
추천 영상:
가이드 코스
12:00
Young's Double Slit Experiment

Interference Pattern

An interference pattern is formed when two or more overlapping waves combine, resulting in regions of increased (constructive interference) and decreased (destructive interference) intensity. In the context of the double slit experiment, the pattern is characterized by alternating bright and dark lines on a screen, which can be quantified by the distance between specific order lines (m values).
추천 영상:
가이드 코스
03:47
Wave Interference & Superposition

Path Difference

Path difference refers to the difference in distance traveled by two waves arriving at a point after passing through the slits. For constructive interference, this difference must be an integer multiple of the wavelength, while for destructive interference, it must be a half-integer multiple. The path difference is crucial for determining the positions of the interference fringes on the screen.
추천 영상:
가이드 코스
08:20
Mean Free Path
관련 실천
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