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Q13PE

Expert-verifiedFound in: Page 888

Book edition
1st Edition

Author(s)
Paul Peter Urone

Pages
1272 pages

ISBN
9781938168000

**A radar used to detect the presence of aircraft receives a pulse that has reflected off an object $6\times {10}^{-5}s$****after 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.

**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.**

The time duration in the transmission and receiving of the pulse is $t=6\times {10}^{-5}s$$t=6\times {10}^{-5}s$

The speed of light is $c=3\times {10}^{8}m/s$

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

$d=\frac{ct}{2}$ …………………..(1)

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

$d=\frac{\left(3\times {10}^{8}m/s\right)\times \left(6\times {10}^{-5}s\right)}{2}\phantom{\rule{0ex}{0ex}}=9000m\left(\frac{1km}{1000m}\right)\phantom{\rule{0ex}{0ex}}=9km$

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

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