Question
A radar antenna emits electromagnetic radiation of velocity 3×10^8 m/s with a wavelength of 0.03 for 0.5 seconds.
a) what is the frequency of the radiation
b) how many complete waves are emitted in this time
c) after 0.5 seconds how far is the front of the wave from the antenna
a) what is the frequency of the radiation
b) how many complete waves are emitted in this time
c) after 0.5 seconds how far is the front of the wave from the antenna
Answers
GPT 3.5
a) To find the frequency of the radiation, we can use the formula:
frequency = speed of light / wavelength
The speed of light is given as 3×10^8 m/s, and the wavelength is given as 0.03 m. Plugging these values into the formula, we get:
frequency = (3×10^8 m/s) / (0.03 m)
frequency = 1×10^10 Hz
Therefore, the frequency of the radiation is 1×10^10 Hz.
b) To find the number of complete waves emitted in 0.5 seconds, we can use the formula:
number of waves = frequency * time
The frequency is given as 1×10^10 Hz, and the time is given as 0.5 seconds. Plugging these values into the formula, we get:
number of waves = (1×10^10 Hz) * (0.5 s)
number of waves = 5×10^9 waves
Therefore, the number of complete waves emitted in 0.5 seconds is 5×10^9.
c) The distance traveled by the front of the wave after 0.5 seconds can be calculated using the formula:
distance = speed of light * time
The speed of light is given as 3×10^8 m/s, and the time is given as 0.5 seconds. Plugging these values into the formula, we get:
distance = (3×10^8 m/s) * (0.5 s)
distance = 1.5×10^8 m
Therefore, after 0.5 seconds, the front of the wave is 1.5×10^8 meters away from the antenna.
frequency = speed of light / wavelength
The speed of light is given as 3×10^8 m/s, and the wavelength is given as 0.03 m. Plugging these values into the formula, we get:
frequency = (3×10^8 m/s) / (0.03 m)
frequency = 1×10^10 Hz
Therefore, the frequency of the radiation is 1×10^10 Hz.
b) To find the number of complete waves emitted in 0.5 seconds, we can use the formula:
number of waves = frequency * time
The frequency is given as 1×10^10 Hz, and the time is given as 0.5 seconds. Plugging these values into the formula, we get:
number of waves = (1×10^10 Hz) * (0.5 s)
number of waves = 5×10^9 waves
Therefore, the number of complete waves emitted in 0.5 seconds is 5×10^9.
c) The distance traveled by the front of the wave after 0.5 seconds can be calculated using the formula:
distance = speed of light * time
The speed of light is given as 3×10^8 m/s, and the time is given as 0.5 seconds. Plugging these values into the formula, we get:
distance = (3×10^8 m/s) * (0.5 s)
distance = 1.5×10^8 m
Therefore, after 0.5 seconds, the front of the wave is 1.5×10^8 meters away from the antenna.