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Measuring distances to high precision is a critical goal in engineering. Numerou

ID: 1919215 • Letter: M

Question

Measuring distances to high precision is a critical goal in engineering. Numerous devices to exist to perform such measurements, with many involving laser light. Shining light through a double slit will provide such a ruler if (1) the wavelength of the light beam and slit separation is known and (2) the distance the minima/maxima appearing on the screen can be measured. But this in itself requires a physical measurement of distance on the object, which may not be practical. In an effort to create a "laser-beam ruler" that does not require placing a physical ruler on the object, you mount a Nd:YAG laser inside a box so that the beam of the laser passes through two slits rigidly attached to the laser. Although 1064 nm is the principal wavelength of a Nd:YAG laser, the laser is also switchable to numerous secondary wavelengths, including 1052 nm, 1075 nm, 1113 nm, and 1319 nm.

Explanation / Answer

wavelength= w w1*L0/d=w2*Lnew/d 1052*L0=1075*(L0-1.155) L0=58.983 or 59 cm