First Year Physics help regarding waves

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SUMMARY

The discussion centers on key concepts in wave physics, particularly the properties of simple harmonic oscillators and photon calculations. Doubling the amplitude of a simple harmonic oscillator does not affect its frequency, but it increases total mechanical energy and maximum acceleration. The FM radio station emits approximately 2.27 x 103 photons per second at a frequency of 99.7 MHz. Additionally, the momentum and energy calculations for an electron and a photon with a wavelength of 0.2 nm are critical, as well as determining the maximum light wavelength that can excite an electron in diamond, given its energy gap of 5.50 eV.

PREREQUISITES
  • Understanding of simple harmonic motion and its properties
  • Knowledge of photon energy and momentum calculations
  • Familiarity with the electromagnetic spectrum
  • Basic principles of quantum mechanics, particularly energy levels in solids
NEXT STEPS
  • Study the equations governing simple harmonic motion, specifically energy and acceleration
  • Learn about photon emission and calculations involving power output and frequency
  • Explore quantum mechanics concepts related to electron transitions and energy gaps
  • Investigate the electromagnetic spectrum and its relation to wavelength and energy
USEFUL FOR

Students preparing for physics exams, educators teaching wave mechanics, and anyone interested in the principles of quantum mechanics and electromagnetic theory.

Lochie101
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Trying to study for my physics exam and am a bit stuck with this question. hopefully someone can help me out:

1) a) State, with reasons, how the following properties of a simple harmonic oscillator are affected by doubling the amplitude:

i) Frequency:
ii) total mechanical energy, and
iii) Maximum acceleration.

b) An FM radio station has a power output of 150KW at a frequency of 99.7 MHz. How many photons per second does the transmitter emit?

c) An electron and a photon each have a wavelength of 0.2nm. what is the momentum (in kg.m/s) of the:
i) electron, and
ii) photon?

what is the energy (in eV) of the:
iii) electron, and
iv) the photon?

d) i) What maximum light wavelength will excite an electron in the valence band of diamond? The energy gap for diamond is 5.50 eV.

ii) in which part of the electronmagnetic spectrum does this wavelength lie?


Thanks :)
 
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Do you have any equations that may help you? If you share what you know and what you've tried, you're more likely to get help.
 
I know that frequency is not affected, unsure about total mechanical energy and maximum frequency.

I have also calculated b) to be 2.27*10^3 photons, but have no idea how to do the rest??
 

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