Question

The radar system of a navy cruiser transmits at a wavelength of $1.6 \mathrm{cm},$ from a circular antenna with a diameter of 2.3 $\mathrm{m} .$ At a range of $6.2 \mathrm{km},$ what is the smallest distance that two speedboats a can be from each other and still be resolved as two separate objects by the radar system?

          The radar system of a navy cruiser transmits at a wavelength of $1.6 \mathrm{cm},$ from a circular antenna with a diameter of 2.3 $\mathrm{m} .$ At a
range of $6.2 \mathrm{km},$ what is the smallest distance that two speedboats a
can be from each other and still be resolved as two separate objects
by the radar system?

Added by Bryan B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Hubert Agamasu

12/05/2021

Step 1

Step 1: Calculate the resolution limit of the radar system using the formula: $$\text{Resolution limit} = \frac{\text{Wavelength} \times \text{Range}}{\text{Antenna Diameter}}$$ Show more…

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The radar system of a navy cruiser transmits at a wavelength of $1.6 \mathrm{cm},$ from a circular antenna with a diameter of 2.3 $\mathrm{m} .$ At a range of $6.2 \mathrm{km},$ what is the smallest distance that two speedboats a can be from each other and still be resolved as two separate objects by the radar system?