Two small openings in a ripple tank are 3.0 cm apart. The tank is 1.2 m long, and the wavelength is 0.60 cm. At what distance from the central maximum will the third bright fringe appear?

Question

BlackTom AI · Accepted Answer

Let’s parse the setup: two small openings separated by d = 3.0 cm = 0.03 m produce interference on a distant screen. The given wavelength is λ = 0.60 cm = 0.006 m, and the distance from the slits to the screen is L = 1.2 m. For a double-slit interference pattern, the bright fringes follow the condition y_m = m λ L / d, where m is the fringe order (m = 0 is the central maximum, m = 1 first bright, m = 2 second bright, etc.).

Option a: 0.36 m. If we test this distance with the formula, we get m = y d / (λ L) = 0.36 × 0.03 / (0.006 × 1.2) = 0.0108 / 0.0072 ≈ 1.5. Since m must be an integer for distinct bright fringes, this value is not physically consistent with a bright fringe order. This suggests 0.36 m is not the third bright fringe.

Option b: 0.60 m. Compute m = (0.60 × 0.03) / (0.006 × 1.2) = 0.018 / 0.0072 ≈ 2.5. Again, not an integer, so 0.60 m cannot correspond to a bright fringe of integer order, hence it is not the third bright fringe.

Option c: 0.72 m. Here m = (0.72 × 0.03) / (0.006 × 1.2) = 0.0216 / 0.0072 = 3. This yields exactly m = 3, which corresponds to the third bright fringe (central maximum is m = 0, first bright m = 1, second m = 2, third m = 3). Therefore this distance satisfies the interference condition for the third bright fringe.

Option d: 0.24 m. Then m = (0.24 × 0.03) / (0.006 × 1.2) = 0.0072 / 0.0072 = 1. This would place us at the first bright fringe, not the third, so this distance corresponds to m = 1 rather than m = 3.

In summary, evaluating each option against the bright-fringe condition shows that only 0.72 m yields an integer fringe order m = 3, matching the third bright fringe. The other distances fail to produce an integer order or correspond to a different fringe order, not the third bright one.

SPH4U - Physics 12 (2025-26) - A

Two small openings in a ripple tank are 3.0 cm apart. The tank is 1.2 m long, and the wavelength is 0.60 cm. At what distance from the central maximum will the third bright fringe appear?

查看解析

登录即可查看完整答案

类似问题

Many product packages and ID cards use hologram stickers that change colour with viewing angle. Which wave phenomenon makes this possible, and how does it impact society?

The 4th nodal line is observed 3.6 cm from the centreline in a ripple tank containing 2 point sources. The sources are 1.60 cm apart and the screen is 120.0 cm away. What is the wavelength?

In a ripple tank experiment, students see a bright line where the waves are always higher than in other areas. What wave interaction causes this effect?

In a two-point source ripple tank experiment, what do the dark lines between the waves represent?

Two slits are illuminated with light of wavelength 550 nm. At a point on the screen, the path difference is 1.65 µm. Which feature appears there?

Which of the following best describes the condition for a nodal point in a two-point water wave interference pattern?

What do we call the overlapping of two or more waves resulting in a combined wave pattern?

Two slits produce light that interferes constructively at a point. What does this mean about the light at that location?

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单