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Q13PE

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College Physics (Urone)
Found in: Page 888

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Short Answer

A radar used to detect the presence of aircraft receives a pulse that has reflected off an object 6×10-5 safter it was transmitted. What is the distance from the radar station to the reflecting object?

The distance of the radar station to the reflecting object is 9 km.

See the step by step solution

Step by Step Solution

Step 1: Definition of Radar distance

Radar is a technique for determining the distance from a solid or liquid. Radar distance sensors are measurement devices that send and receive high-frequency radio waves (microwaves) to determine the distance to a liquid-based substance's surface.

Step 2: Given information and Formula to used

The time duration in the transmission and receiving of the pulse is t=6×10-5st=6×10-5 s

The speed of light is c=3×108m/s

The distance of the radar station to the reflecting object can be expressed as,

d=ct2 …………………..(1)

Step 3: Determine the distance of the radar station to the reflecting object.

Substitute the given data in the equation (1), such that,

d=3×108m/s×6×10-5s2 =9000m1km1000m =9 km

Therefore, the distance of the radar station to the reflecting object is 9km .

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