Sound Wave Travel Time Calculation
Given Information
- Frequency (\(f\)): 4 kHz = \(4 \times 10^3\) Hz
- Wavelength (\(\lambda\)): 25 cm = 0.25 m
- Distance (\(d\)): 2.5 km = 2500 m
Calculations
First, calculate the speed of the sound wave (\(v\)) using the formula:
\(v = f \times \lambda\)
Substitute the given values:
\(v = (4 \times 10^3 \text{ Hz}) \times (0.25 \text{ m})\)
\(v = 1000 \text{ m/s}\)
Next, calculate the time (\(t\)) taken to travel the distance (\(d\)) using the formula:
\(t = \frac{d}{v}\)
Substitute the distance and calculated speed:
\(t = \frac{2500 \text{ m}}{1000 \text{ m/s}}\)
\(t = 2.5 \text{ s}\)
Result
The time taken for the sound wave to travel 2.5 km is 2.5 seconds.
Similar Questions
- A broadcasting station transmits waves with a frequency of $71 \times 10^4\ Hz$ and a speed of $3 \times 10^8\ m/s$. The wavelength of the wave is:
- In a longitudinal wave, the distance between two consecutive compressions and two consecutive rarefactions is called:
Important Questions from Waves
Visible light's wavelength range _________.
If the frequency of a sound wave is 50 Hz, then what is its time period?
Hertz is the SI unit of ________.
A running race is organized between ultrasonics, audible and infrasonic waves in a medium, then the winner is:
When a light wave travels from air to water, then which property remain unchanged ?
