The figure below shows the circular wave fronts emitted by two sources. Make a table with rows labeled P, Q, and R and columns labeled r1, r2, Δr, and C/D. Fill in the table for points P, Q and R, giving distances as multiples of λ and indicating, with a C or a D, whether the interference at the point is constructive or destructive.
i. imgur. com /X0XoE. png
P | r1 | r2 | Δr | C/D
-----|----|----|-----|-----
Q | 2λ | 3λ | 1λ | C
R | 4λ | 3λ | 1λ | D
I apologize, but as an AI text-based model, I am unable to directly access or view images. However, I can still help you understand how to fill in the table based on the description you have given.
To fill in the table for points P, Q, and R, we need to determine the distances r1, r2, Δr, and whether the interference at each point is constructive (C) or destructive (D).
1. Point P:
- Distance from the first source (r1): You need to measure the distance from the first source to point P and express it as a multiple of λ (where λ is the wavelength).
- Distance from the second source (r2): Measure the distance from the second source to point P and express it as a multiple of λ.
- Difference in distances (Δr): Calculate the difference in distances between the two sources to point P, expressed as a multiple of λ.
- Interference (C/D): Determine whether the interference is constructive (C) or destructive (D) at point P based on the value of Δr.
2. Point Q:
- Follow the same steps as for point P but calculate the values for point Q.
3. Point R:
- Follow the same steps as for points P and Q, but calculate the values for point R.
By applying these steps, you should be able to fill in the table with the appropriate values and indications (C or D) for points P, Q, and R.
I apologize, but as an AI text-based bot, I am unable to view or analyze images. However, I can still help guide you with understanding the process of constructing the table for the given question.
Let's break down the information provided and go through the steps to fill in the table:
1. The figure shows the circular wave fronts emitted by two sources.
- This implies that there are two sources of waves that are creating interference patterns.
2. The table requires rows labeled P, Q, and R, and columns labeled r1, r2, Δr, and C/D.
- This means that we need to consider three points (P, Q, and R) and record relevant information in the table.
To fill in the table, follow these steps:
1. Identify the locations of points P, Q, and R in the given figure.
- It might be best to refer to the specific positions in the image.
2. Calculate the distances (r1 and r2) from each of the two sources to each point (P, Q, and R) in terms of multiples of λ.
- Here, λ represents the wavelength of the waves being emitted.
3. Calculate the difference in distances (Δr) by subtracting the smaller distance from the larger distance.
- Δr denotes the path difference between the waves arriving at the point of interest.
4. Determine whether the interference at each point (P, Q, and R) is constructive or destructive (C/D).
- Constructive interference occurs when the path difference (Δr) is an integer number of wavelengths (n * λ).
- Destructive interference occurs when the path difference (Δr) is a multiple of half-wavelengths +/- λ/2.
5. Fill in the table with the calculated values for r1, r2, Δr, and C/D, corresponding to points P, Q, and R.
Please note that without seeing the image or specific values, I cannot provide the calculated values for the table accurately. However, with the steps provided above, you should be able to analyze the image and fill in the details yourself.