Ratio of amplitude for two wave is 8:1.Find the ratio of maximum amplitude to minimum amplitude.

Explanation

To solve the problem step by step, we will follow the given information about the amplitudes of two waves and calculate the required ratio.

### Step-by-Step Solution:

1. **Identify the Given Data**:
- The ratio of the amplitudes of two waves is given as \( A_1 : A_2 = 8 : 1 \).
- This means we can assign \( A_1 = 8 \) and \( A_2 = 1 \).

2. **Calculate Maximum Amplitude**:
- The maximum amplitude \( A_{max} \) is calculated by adding the two amplitudes:
\[ A_{max} = A_1 + A_2 \]
- Substituting the values:
\[ A_{max} = 8 + 1 = 9 \]

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

4. **Calculate the Ratio of Maximum Amplitude to Minimum Amplitude**:
- Now, we can find the ratio of maximum amplitude to minimum amplitude:
\[ \text{Ratio} = \frac{A_{max}}{A_{min}} = \frac{9}{7} \]

5. **Final Result**:
- Therefore, the ratio of maximum amplitude to minimum amplitude is:
\[ \frac{A_{max}}{A_{min}} = \frac{9}{7} \]

### Summary:
The ratio of maximum amplitude to minimum amplitude is \( \frac{9}{7} \).

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