What is the wavelength of radio waves of frequency 1400 kHz?
(a) 42.9
(b) 214
(c) 42.9
(d) 3*10^8
1400kHz = 1.4mHz.
L = VT = 300m/us * (1/1.4)us = 214m.
L = Wavelength.
V = Velocity of radio waves in air.
T = Time for 1 cycle or period.
us = Microseconds.
69420
To find the wavelength of radio waves, you can use the formula:
Wavelength (in meters) = Speed of Light (in meters per second) / Frequency (in hertz)
The speed of light is approximately 3 × 10^8 meters per second.
In this case, the frequency is given as 1400 kHz, which stands for 1400 kilohertz. Remember that "kilo" means thousand, so 1400 kHz is equal to 1400 × 10^3 Hz.
Using the formula, we can now calculate the wavelength:
Wavelength = (3 × 10^8 m/s) / (1400 × 10^3 Hz)
Simplifying this expression, we get:
Wavelength = (3 × 10^8) / (1400 × 10^3)
To simplify further, we divide the numerator and denominator by 1000:
Wavelength = (3 × 10^5) / (1400)
Calculating this expression gives us:
Wavelength ≈ 214 meters
Therefore, the wavelength of radio waves with a frequency of 1400 kHz is approximately 214 meters.
So, the correct answer is (b) 214.