Question

A radio station can be heard if the receiver is tuned to a frequency of 6x10^5 Hz. What is the wavelength of the radio waves

Answer 1

5 * 10² m

Step-by-step explanation:

We are Given:

Frequency of the wave = 6 * 10⁵ Hz

Wavelength of the wave:

We know the relation:

c = λν

[where λ (Lambda) is the wavelength ,ν (nu) is the frequency and c is the speed of light ]

3 * 10⁸ m/s= (6 * 10⁵ )* λ [replacing known values]

λ =
`(3 * 10^(8))/(6 * 10^(5))` [dividing both sides by 6 * 10⁵]

λ = 1/2 * 10³

λ = 1/2 * 10 * 10² [10³ can be rewritten as 10 * 10²]

λ = 5 * 10² m

Therefore, the wavelength of the wave is 5 * 10² m