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The radar system of a navy cruiser transmits at a wavelength of 1.4 cm, from a circular antenna with a diameter of 2.7 m. At a range of 7.8 km, what is the smallest distance in meters that two speedboats can be from each other and still be resolved as two separate objects by the radar system?

User KRKirov
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1 Answer

2 votes

Answer:

Distance will be 49.34 m

Step-by-step explanation:

We have given wavelength
\lambda =1.4cm =0.014m

Diameter of the antenna d = 2.7 m

Range L = 7.8 km = 7800 m

We have to find the smallest distance hat two speedboats can be from each other and still be resolved as two separate objects D

We know that distance is given by
D=(L1.22\lambda )/(d)=(7800* 1.22* 0.014)/(2.7)=49.3422m

So distance D will be 49.34 m

User Miguelmpn
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