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Assertion (A): A larger aperture always gives a narrower beam at a given frequency.

Reason (R): Beamwidth is inversely proportional to the aperture measured in wavelengths.

Select the correct answer from the options below.

  • A.A is false but R is true
  • B.Both A and R are true, and R is the correct explanation of A
  • C.Both A and R are true, but R is not the correct explanation of A
  • D.A is true but R is false

Answer: B

Both are true and the second is the reason. Because the far field is the transform of the aperture distribution, widening the aperture narrows the transform in exact inverse proportion, which is the same relationship as between a pulse and its spectrum. The qualification is that the aperture must be illuminated with a flat phase; a large aperture with severe phase errors gives a broad beam and poor gain, which is precisely why surface tolerance matters so much on large reflectors.

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