A radar used to detect the presence of aircraft receives a pulse that has reflected off an object 5 ✕ 10−5 s after it was transmitted. What is the distance (in m) from the radar station to the reflecting object?

The distance from an object is required.

The object is 7500 m from the radar.

Time to transmit or receive a the signal is

where

t = Total time taken to transmit and receive =

c = Speed of radio signal =

Distance is given by

The object is 7500 m from the radar.

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7500 m

Explanation:

The radar emits an electromagnetic wave that travels towards the object and then it is reflected back to the radar.

We can call L the distance between the radar and the object; this means that the electromagnetic wave travels twice this distance, so

d = 2L

In a time of

Electromagnetic waves travel in a vacuum at the speed of light, which is equal to

Since the electromagnetic wave travels with constant speed, we can use the equation for uniform motion ,so:

(1)

where

, where L is the distance between the radar and the object

Re-arranging eq(1) and substituting, we find L:

the second one and the forth one are in the purple because they are opinions and the rest are in the yellow

explanation: