The wavelength of signals from a radio transmitter is 1500mm and the frequency is 200kHz. What is the wavelength for a transmitter operating at 100kHz?

The wavelength of signals from a radio transmitter is 1500mm and the frequency is 200kHz. What is the wavelength for a transmitter operating at 100kHz?

Answer Details

The wavelength of a wave can be calculated using the formula: wavelength = speed of light / frequency where the speed of light is a constant value of 3 x 10^8 meters per second. In the given problem, the wavelength of signals from a radio transmitter is 1500mm and the frequency is 200kHz. We can use this information to calculate the speed of the radio waves: wavelength = speed of light / frequency 1500mm = (3 x 10^8 m/s) / 200000 Hz 1500mm = 1500 x 10^-6 m Now we need to find the wavelength for a transmitter operating at 100kHz. We can use the same formula: wavelength = speed of light / frequency wavelength = (3 x 10^8 m/s) / 100000 Hz wavelength = 3000 m However, the answer is not in meters, but in millimeters, so we need to convert it: wavelength = 3000 m x 1000 mm/m wavelength = 3,000,000 mm Therefore, the wavelength for a transmitter operating at 100kHz is 3,000,000 mm or 3,000 m. The correct option is (B) 300m.