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A diffraction- limited eye with a 6 mm pupil is looking at an approaching car whose...
The two headlights of an approaching automobile are 1.4 m apart. At what (a) angular separation...
The two headlights of an approaching automobile are 1.4 m apart. At what (a) angular separation and (b) maximum distance will the eye resolve them? Assume that the pupil diameter is 5.0 mm, and use a wavelength of 524 nm for the light. Also assume that diffraction effects alone limit the resolution so that Rayleigh's criterion can be applied, in meters.
The two headlights of an approaching automobile are 1.3 m apart. At what (a) angular separation...
The two headlights of an approaching automobile are 1.3 m apart. At what (a) angular separation and (b) maximum distance will the eye resolve them? Assume that the pupil diameter is 5.0 mm, and use a wavelength of 560 nm for the light. Also assume that diffraction effects alone limit the resolution so that Rayleigh's criterion can be applied, in meters.
The resolution of the eye is ultimately limited by the pupil diameter. What is the smallest...
The resolution of the eye is ultimately limited by the pupil diameter. What is the smallest diameter spot the eye can produce on the retina if the pupil diameter is 3.72 mm? Assume light with a wavelength of λ = 550 nm. (Note: The distance from the pupil to the retina is 25.4 mm. In addition, the space between the pupil and the retina is filled with a fluid whose index of refraction is n = 1.336.) Hint: The size...
Diffraction Limit: How far away can a human eye distinguish two car headlights 2.0m apart? Consider...
Diffraction Limit: How far away can a human eye distinguish two car headlights 2.0m apart? Consider only diffraction effects and assume an eye pupil diameter of 6 mm and a wavelength of 560 nm. What is the minimum angular separation an eye could resolve when viewing two stars, considering only diffraction effects? In reality, the minimum angular separation is about 1' of arc. Why is it not equal to your answer in part b)?
The resolution of the eye is ultimately limited by the pupil diameter. What is the smallest...
The resolution of the eye is ultimately limited by the pupil diameter. What is the smallest diameter spot the eye can produce on the retina if the pupil diameter is 3.64 mm? Assume light with a wavelength of λ = 550 nm. (Note: The distance from the pupil to the retina is 25.4 mm. In addition, the space between the pupil and the retina is filled with a fluid whose index of refraction is n = 1.336.) Hint: The size...
The limit to the eye's acuity is actually related to diffraction by the pupil. (a) What...
The limit to the eye's acuity is actually related to diffraction by the pupil. (a) What is the angle (in rad) between two just-resolvable points of light for a 3.23 mm diameter pupil, assuming an average wavelength of 565 nm? rad (b) Take your result to be the practical limit for the eye. What is the greatest possible distance (in km) a car can be from you if you can resolve its two headlights, given they are 1.45 m apart?...
1. The limit to the eye's acuity is actually related to diffraction by the pupil. (a)...
1. The limit to the eye's acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 3.4 mm-diameter pupil, assuming an average wavelength of 540 nm? rads (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 1.2 m apart? km (c) What is...
The pupil of a cat's eye narrows to a vertical slit of width 0.450 mm in...
The pupil of a cat's eye narrows to a vertical slit of width 0.450 mm in daylight. Assume the average wavelength of the light is 615 nm. What is the angular resolution for horizontally separated mice? (In this problem, you may use the Rayleigh criterion for the limiting angle of resolution of an eye.) rad
7.10 (a) A car is travelling towards you on a long straight road at night. Estimate the distance at which you can just...
7.10 (a) A car is travelling towards you on a long straight road at night. Estimate the distance at which you can just resolve its headlights into two separate sources of light. Would the light from the two separate headlights produce any interfer- ence effects? (b) The Hubble Space Telescope has a diameter of 2.4 m. Determine its diffraction-limited angular resolution at a wavelength of 550 nm in radians and in degrees.
The headlights of a car are 1.7 m apart. What is the maximum distance (in km)...
The headlights of a car are 1.7 m apart. What is the maximum distance (in km) at which the eye can resolve these two headlights? Take the pupil diameter to be 0.39 cm. (Assume the average wavelength of visible light is 555 nm.) km What is the wavelength of light in nm falling on double slits separated by 1.95 µm if the third-order maximum is at an angle of 55.0°? nm ) How wide in m is a single slit...
Diffraction Limit: How far away can a human eye distinguish two car headlights 2.0m apart? Consider only diffraction effects and assume an eye pupil diameter of 6 mm and a wavelength of 560 nm. What is the minimum angular separation an eye could resolve when viewing two stars, considering only diffraction effects? In reality, the minimum angular separation is about 1' of arc. Why is it not equal to your answer in part b)?
1. The limit to the eye's acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 3.4 mm-diameter pupil, assuming an average wavelength of 540 nm? rads (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 1.2 m apart? km (c) What is...
7.10 (a) A car is travelling towards you on a long straight road at night. Estimate the distance at which you can just resolve its headlights into two separate sources of light. Would the light from the two separate headlights produce any interfer- ence effects? (b) The Hubble Space Telescope has a diameter of 2.4 m. Determine its diffraction-limited angular resolution at a wavelength of 550 nm in radians and in degrees.
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