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(1) (A)Find the distance in nm between two slits that produces the first minimum for 400-nm...

(1) (A)Find the distance in nm between two slits that produces the first minimum for 400-nm violet light at an angle of 26.0°.

(B)Particles called π-mesons are created by accelerator beams. If these particles travel at 2.69 ✕ 108 m/s and live 2.60 ✕ 10−8 s when at rest relative to an observer, how long (in s) do they live as viewed in the laboratory?

(C)If the position of a chlorine ion in a membrane is measured to an accuracy of 2.00 µm, what is its minimum uncertainty in velocity (in m/s), given its mass is 5.86 10-26 kg? If the ion has this velocity, what is its kinetic energy in eV? (Compare this with typical molecular binding energies of about 5 eV.)

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