Asha is entertaining her cat Luna by shining two laser pointers, each with wavelength A, on a wall located 12.0 m away from Luna. When Luna first notices the laser spots, her pupils are roughly the shape of narrow vertical slits with a width of 2.0 mm. Under these conditions, the two spots must have a minimum separation distance of 3.8 mm in order for Luna to be able to resolve them as two separate spots. After watching the spots dance across the wall for a while, her pupils dilate so that they become roughly circular with a diameter of 6.0 mm. What is the minimum separation distance between the two spots now that Luna's eyes have dilated to a circular shape? Assume that the size of her pupil is the only limiting factor on the optical resolution.

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Asha is entertaining her cat Luna by shining two laser pointers, each
with wavelength X, on a wall located 12.0 m away from Luna. When
Luna first notices the laser spots, her pupils are roughly the shape of
narrow vertical slits with a width of 2.0 mm. Under these conditions,
the two spots must have a minimum separation distance of 3.8 mm
in order for Luna to be able to resolve them as two separate spots.
After watching the spots dance across the wall for a while, her pupils
dilate so that they become roughly circular with a diameter of 6.0 mm.
What is the minimum separation distance between the two spots now
that Luna's eyes have dilated to a circular shape? Assume that the
size of her pupil is the only limiting factor on the optical resolution.
Transcribed Image Text:Asha is entertaining her cat Luna by shining two laser pointers, each with wavelength X, on a wall located 12.0 m away from Luna. When Luna first notices the laser spots, her pupils are roughly the shape of narrow vertical slits with a width of 2.0 mm. Under these conditions, the two spots must have a minimum separation distance of 3.8 mm in order for Luna to be able to resolve them as two separate spots. After watching the spots dance across the wall for a while, her pupils dilate so that they become roughly circular with a diameter of 6.0 mm. What is the minimum separation distance between the two spots now that Luna's eyes have dilated to a circular shape? Assume that the size of her pupil is the only limiting factor on the optical resolution.
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