Question

A wave with a frequency of 600 Hz and wavelength of 0.5 m travels a distance of 200 m in a time of:

• A. 1.67 s
• B. 0.67 s
• C. 1 s
• D. 0.33 s
• E. 1.33 s

Hint:

The speed of a wave is calculated as the product of its frequency and wavelength. To find the time, use \( {time} = \frac{{distance}}{{speed}} \).

Answer 1

The Correct Option is B

The speed \( v \) of a wave is related to its frequency \( f \) and wavelength \( \lambda \) by the equation: \[ v = f \times \lambda \] where: 
- \( f = 600 \, {Hz} \) is the frequency of the wave,
- \( \lambda = 0.5 \, {m} \) is the wavelength.
Substituting the values: \[ v = 600 \times 0.5 = 300 \, {m/s} \] Now, to find the time \( t \) it takes for the wave to travel a distance of 200 m, we use the equation: \[ v = \frac{{distance}}{{time}} \quad \Rightarrow \quad t = \frac{{distance}}{v} \] Substitute the values: \[ t = \frac{200}{300} = 0.67 \, {s} \] Thus, the time taken for the wave to travel 200 m is \( 0.67 \, {s} \).
Therefore, the correct answer is option (B), 0.67 s.