For a wave frequency is 10 Hz and wavelength is 2.5 m. How much distance (in metres) it will travel in 40 seconds?

Answer

To solve the problem, we need to calculate the distance traveled by a wave given its frequency, wavelength, and time. Here’s the step-by-step solution:

### Step 1: Identify the given values
- Frequency (ν) = 10 Hz
- Wavelength (λ) = 2.5 m
- Time (t) = 40 seconds

### Step 2: Use the formula for distance traveled by a wave
The formula to calculate the distance traveled by a wave is:
\[ \text{Distance} (x) = \text{Frequency} (\nu) \times \text{Wavelength} (\lambda) \times \text{Time} (t) \]

### Step 3: Substitute the values into the formula
Now, we will substitute the values we have into the formula:
\[ x = 10 \, \text{Hz} \times 2.5 \, \text{m} \times 40 \, \text{s} \]

### Step 4: Perform the calculations
1. First, calculate the product of frequency and wavelength:
\[ 10 \, \text{Hz} \times 2.5 \, \text{m} = 25 \, \text{m/s} \]

2. Now, multiply this result by the time:
\[ 25 \, \text{m/s} \times 40 \, \text{s} = 1000 \, \text{m} \]

### Step 5: Final result
Thus, the distance traveled by the wave in 40 seconds is:
\[ \text{Distance} = 1000 \, \text{m} \]