'a weather station monitors a storm using a radar system. the radio wave pulse emitted is received back at the transmitter after 0.34 ms. the wavelength emitted was 5.6 cm and that received after reflection from the storm was 1 billionth of a meter longer. what information about the storm can be worked out from these data?'

i have to answer this in terms of whether the storm is moving away or not (doppler effect - red or blue shift?), and how far away the storm is at the moment.

thank you!

To determine whether the storm is moving towards or away from the weather station, we can analyze the Doppler effect. The Doppler effect is the change in frequency or wavelength of a wave due to the relative motion between the source and the observer.

In this case, we know that the radar system emitted a radio wave pulse with a wavelength of 5.6 cm. After reflecting off the storm, the received wavelength was 1 billionth of a meter longer. We can convert 1 billionth of a meter to centimeters, which is 0.01 cm.

Now, let's assess the situation:

1. If the received wavelength is longer than the emitted wavelength, then the storm is moving away from the weather station. This is known as the redshift effect.

2. If the received wavelength is shorter than the emitted wavelength, then the storm is moving towards the weather station. This is known as the blueshift effect.

Since we know that the received wavelength is longer by 0.01 cm compared to the emitted wavelength, we can conclude that the storm is moving away from the weather station.

As for determining the distance to the storm, we need additional information to calculate it precisely. However, we can make an estimation based on the time it takes for the radio wave pulse to travel back to the transmitter.

Given that the pulse was received back at the transmitter after 0.34 ms (milliseconds), we can use the speed of light to determine the approximate distance. The speed of light is approximately 3 x 10^8 meters per second (m/s) or 3 x 10^10 centimeters per second (cm/s).

Using the formula: Distance = Speed x Time, we can calculate the distance to be:

Distance = Speed of light x Time taken = 3 x 10^10 cm/s x 0.34 ms

Converting milliseconds to seconds: 0.34 ms = 0.34 x 10^-3 s

Distance = 3 x 10^10 cm/s x 0.34 x 10^-3 s = 1.02 x 10^7 cm

Therefore, based on the given information, the storm is estimated to be approximately 1.02 x 10^7 cm or 102 km away from the weather station.