A coin with a mass of 8.31 g suspended on a rubber band has a vibrational frequency of 7.50 s⁻¹. Calculate
a) the force constant of the rubber band,
b) the zero point energy,
c) the total vibrational energy if the maximum displacement is 0.725 cm, and
d) the vibrational quantum number corresponding to the energy in part (c).
a) 3.52 × 10² N/m, 8.33 × 10⁻²² J, 4.12 × 10⁻¹⁹ J, 8.97 × 10⁴
b) 4.12 × 10² N/m, 7.25 × 10⁻²² J, 3.33 × 10⁻¹⁹ J, 8.97 × 10⁴
c) 8.33 × 10² N/m, 7.25 × 10⁻²² J, 4.12 × 10⁻¹⁹ J, 4.23 × 10⁴
d) 7.25 × 10² N/m, 8.33 × 10⁻²² J, 3.33 × 10⁻¹⁹ J, 4.23 × 10⁴