$A$ lens having focal length $f$ and aperture of diameter $d$ forms an image of intensity $I$. If the central region of the lens with diameter $\frac{d}{2}$ is covered by black paper,what will be the new focal length and intensity of the image,respectively?

  • A
    $f/2$ and $I/2$
  • B
    $f$ and $I/4$
  • C
    $3f/4$ and $I/2$
  • D
    $f$ and $3I/4$

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