2. How much energy is in an 89.7-MHz photon of FM radiation?(Hint: The Planck constant is h = 6.626 × 10⁻³⁴ J·Hz⁻¹ = 4.135 × 10⁻¹⁵ eV·Hz⁻¹) (A) 2.2 × 10⁻³³ J (B) 5.9 × 10⁻²⁷ J (C) 7.4 × 10⁻⁴² J (D) 9.5 × 10⁻²⁶ J (E) 3.7 × 10⁻²⁵ J

5. Because the factor ℏ on the right side of Heisenberg's uncertainty principle has units of joule-seconds, it suggests that the energy of a system also has uncertainty. The uncertainty in energy depends on the length of the time interval during which a system exists. ΔEΔt ≥ ℏ/4π. Suppose an unstable mass is produced during a high-energy collision such that the uncertainty in its mass is me/100 (me = 9.11 × 10⁻³¹ kg). How long will this particle exist? (A) 8.1 × 10⁻¹⁹ s (B) 2.3 × 10⁻²³ s (C) 1.0 × 10¹⁵ s (D) 1.2 × 10¹³ s (E) 6.4 × 10⁻²⁰ s

2. How much energy is in an 89.7-MHz photon of FM radiation?
(Hint: The Planck constant is h = 6.626 × 10⁻³⁴ J·Hz⁻¹ = 4.135 × 10⁻¹⁵ eV·Hz⁻¹)
(A) 2.2 × 10⁻³³ J
(B) 5.9 × 10⁻²⁷ J
(C) 7.4 × 10⁻⁴² J
(D) 9.5 × 10⁻²⁶ J
(E) 3.7 × 10⁻²⁵ J

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