Need help on the last two parts. All of my answers for the previous parts are co

Question

Need help on the last two parts. All of my answers for the previous parts are correct.

Hand-held cameras (even fancy photographer's cameras), rarely use film any more, but the physics is nearly the same as an old fashioned camera: there is a lens, and a plane onto which the image focuses. (In the old days, the plane was where the film went, now there will likely be a solid state CCD array there. But we still call this the "film plane".) Suppose a 50.0 mm focal length lens is used to focus an image onto the film plane. The maximum distance available in this (large!) camera between the lens and the film plane is 124 mm. How far ahead of the film plane should the lens be, if the object to be photographed is 0.7 m away? 5.41e+01 mm

What is the smallest object distance for which this camera can produce a sharp image? 8.38e+01 mm

The first-order line of 598 nm light falling on a diffraction grating is observed at a 12.7o angle. How far apart are the slits? 2.72e-06 m

At what angle will the third order be observed? 4.13e+01 deg

[HELP HERE] What is the minimum thickness of an oil film with (n = 1.18) on top of water (n = 1.33) that would appear black if illuminated with 484 nm light? ??????

[HELP HERE] What is the speed of a beam of charged kaons if their average lifetime is measured to be 2.38×10-8 s? At rest, their lifetime is 1.24×10-8 s. ??????

Explanation / Answer

[HELP HERE] What is the minimum thickness of an oil film with (n = 1.18) on top of water (n = 1.33) that would appear black if illuminated with 484 nm light? ??????
t = lambda / 2n = 484 / (2*1.18)

=> t = 206 nm

[HELP HERE] What is the speed of a beam of charged kaons if their average lifetime is measured to be 2.38×10-8 s? At rest, their lifetime is 1.24×10-8 s. ??????

t1/t2 = sqrt(1 - v^2 / c^2)

v = c * sqrt(1 - (t1 / t2) ^2)
= c * sqrt(1 - (1.24e-8 / 2.38e-8) ^2)
= 0.853c

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