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Quantum Mechanics and Planck\'s constant Worksheet We know that Max Planck expla

ID: 703829 • Letter: Q

Question

Quantum Mechanics and Planck's constant Worksheet We know that Max Planck explained that light energy travels in packets of waves known as Quanta, (plural being quantum), also named a photon. We know that the energy carried is equal to hf, where the h refers to Planck's constant (6.626x1034 J's), and f refers to the frequency in Hertz (Hz), s1. Use this and the given equation sheet to complete the problems below. 1. Ultraviolent light radiation photons have a frequency of 5.98x101 Hz. What is the energy of each of these photons? h- 6.626x1034J*s and f-5.98x101'Hz 2. If a Lamp emits photons that have a wavelength of 5.73x10'nm. What is the frequency of these photons? c-3.0x108 m/s and ? = 5.73x10"nm = 5.73x10-16 m f-c/ ?-3.0x 1 08/5.73x 10-16-52x102"??

Explanation / Answer

Ans 1

E = h x frequency

= 6.626 x 10^-34 J-s x 5.98 x10^16 Hz x s-1/Hz

= 3.96 x 10^-17 J

Ans 2

speed of light c = 3.0x10^8 m/s

Wavelength ? = 5.73x10^-7 nm x 1m/10^9nm

= 5.73x10^-16 m

Frequency = c/ ?

= (3.0x 10^8) /(5.73x 10^-16)

= 5.2 x 10^23 Hz