Question

The speed of a wave in a certain medium is 960 m/s. If 900 waves pass over a certain point of the medium in half a minute, the wavelength of the wave is

• A. 16 m
• B. 32 m
• C. 9 m
• D. 18 m

Hint:

Remember that the wave speed is related to the frequency and wavelength by \( v = f \lambda \). If you know the speed and frequency, you can calculate the wavelength.

Answer 1

The Correct Option is B

Step 1: Using the formula for wave speed.
The wave speed \( v \) is related to the frequency \( f \) and wavelength \( \lambda \) by the equation: \[ v = f \lambda \] Where: - \( v = 960 \, \text{m/s} \) (wave speed), - \( f \) is the frequency, - \( \lambda \) is the wavelength. Step 2: Finding the frequency.
The number of waves passing a point is given as 900 waves in half a minute, so the frequency is: \[ f = \frac{900}{30} = 30 \, \text{Hz} \] Step 3: Calculating the wavelength.
Now, using the wave speed equation: \[ \lambda = \frac{v}{f} = \frac{960}{30} = 32 \, \text{m} \] Thus, the correct answer is (B) 32 m.