Which of the following is false regarding the structure of atoms?
a. most of the mass is in the nucleus.
b. atoms are naturally electrically neutral.
c. the nucleus is a very small region of the atom.
d. losing a proton affects only an atom's mass and charge.

The atoms in a nickel crystal vibrate as harmonic oscillators with an angular frequency of 2.3 × 1013 rad/s. the mass of a nickel atom is 9.75 × 10-26 kg. what is the difference in energy between adjacent vibrational energy levels of nickel? (h = 6.626 × 10-34 j • s, , 1 ev = 1.60 × 10-19 j)

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Estimate of the number of stars in our galaxy