A certain radio station is assigned a frequency of 2000 kHz. Estimate the wavelength of its transmitted waves.

The given frequency is $2000 \text{ KHz}$.

$$f = 2000 \text{ KHz} = 2000 \times 10^3 \text{ Hz} = 2 \times 10^6 \text{ Hz}$$

Radio waves are electromagnetic waves, so they travel at the speed of light ($c$) in a vacuum.

$$c = 3.00 \times 10^8 \text{ m/s}$$

The relationship between speed, frequency, and wavelength is given by the formula:

$$c = f \lambda$$

To find the wavelength ($\lambda$), rearrange the formula:

$$\lambda = \frac{c}{f}$$

Substitute the values:

$$\lambda = \frac{3.00 \times 10^8 \text{ m/s}}{2 \times 10^6 \text{ Hz}}$$ $$\lambda = \frac{3.00 \times 10^8 \text{ m/s}}{2 \times 10^6 \text{ s}^{-1}}$$ $$\lambda = 1.5 \times 10^{(8-6)} \text{ m}$$ $$\lambda = 1.5 \times 10^2 \text{ m}$$ $$\lambda = 150 \text{ m}$$

The wavelength of the radio waves is $\text{150 m}$.