Ratio of amplitude for two wave is 8:7.Find the ratio of maximum amplitude to minimum amplitude.

Explanation

To solve the problem, we need to find the ratio of the maximum amplitude to the minimum amplitude given the ratio of two wave amplitudes.

### Step-by-Step Solution:

1. **Identify the Given Ratio of Amplitudes**:
The problem states that the ratio of the amplitudes \( A_1 \) to \( A_2 \) is \( 8:7 \). This can be expressed mathematically as:
\[ \frac{A_1}{A_2} = \frac{8}{7} \]

2. **Assign Values to Amplitudes**:
From the ratio, we can assign values to \( A_1 \) and \( A_2 \):
\[ A_1 = 8 \quad \text{and} \quad A_2 = 7 \]

3. **Calculate the Maximum Amplitude**:
The maximum amplitude \( A_{\text{max}} \) is obtained by adding the two amplitudes:
\[ A_{\text{max}} = A_1 + A_2 = 8 + 7 = 15 \]

4. **Calculate the Minimum Amplitude**:
The minimum amplitude \( A_{\text{min}} \) is obtained by taking the difference between the two amplitudes:
\[ A_{\text{min}} = A_1 - A_2 = 8 - 7 = 1 \]

5. **Find the Ratio of Maximum Amplitude to Minimum Amplitude**:
Now, we can find the ratio of the maximum amplitude to the minimum amplitude:
\[ \text{Ratio} = \frac{A_{\text{max}}}{A_{\text{min}}} = \frac{15}{1} = 15 \]

### Final Answer:
The ratio of maximum amplitude to minimum amplitude is \( 15:1 \).

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