Answer Happy

The atoms in a thin sheet of a perfect crystal can act like a
diffraction grating, with tiny "slits" between each individual
atom. But these slits are very small; the distance between two
atoms in a crystal is only about 0.5nm. When probed with a certain
type of electromagnetic radiation, on the far side of the crystal,
you seen three beams of radiation emerge; one comes straight
through, one deflects upward by 45 degrees, and one deflects
downward by 45 degrees. A) Show a calculation of the frequency of
the incoming radiation. (Hint: First find the wavelength.) B) In
what general part of the electromagnetic spectrum does this
radiation lie? C) What would change if you broke the thin sheet of
crystal in half, and did the experiment again on only half the
crystal? (Throw half the crystal away; what would be different
about the output beams?) Assume the original sheet of the crystal
was entirely illuminated by the incoming radiation.
3. The atoms in a thin sheet of a perfect crystal can act like a diffraction grating, with tiny "slits" between each individual atom. But these slits are very small; the distance between two atoms in a crystal is only about 0.5nm. When probed with a certain type of electromagnetic radiation, on the far side of the crystal, you seen three beams of radiation emerge; one comes straight through, one deflects upward by 45 degrees, and one deflects downward by 45 degrees. A) Show a calculation of the frequency of the incoming radiation. (Hint: First find the wavelength.) B) In what general part of the electromagnetic spectrum does this radiation lie? C) What would change if you broke the thin sheet of crystal in half, and did the experiment again on only half the crystal? (Throw half the crystal away; what would be different about the output beams?) Assume the original sheet of the crystal was entirely illuminated by the incoming radiation.