Calculate the frequency of red light of wavelength

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SUMMARY

The frequency of red light with a wavelength of 6.5 × 10-7 m is calculated using the formula f = v/λ, where v is the speed of light at 3 × 108 m/s. The calculation yields a frequency of 4.6 × 1014 Hz, equivalent to 450 THz. The conversion from Hz to THz is confirmed as correct, with 4.6 × 1014 Hz being equal to 450 THz. The solution is accurate and adheres to the principles of wave mechanics.

PREREQUISITES
  • Understanding of wave mechanics and the relationship between speed, frequency, and wavelength.
  • Familiarity with the formula v = fλ.
  • Basic knowledge of scientific notation and unit conversions.
  • Ability to perform calculations involving large numbers and exponents.
NEXT STEPS
  • Study the principles of wave-particle duality in physics.
  • Learn about the electromagnetic spectrum and the properties of different wavelengths.
  • Explore advanced topics in optics, including refraction and diffraction.
  • Investigate the applications of frequency calculations in telecommunications and spectroscopy.
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and professionals in optics or telecommunications seeking to understand light frequency calculations.

looi76
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Homework Statement


The speed of light is 3 \times 10^8 ms^{-1}. Calculate the frequency of red light of wavelength 6.5 \times 10^{-7} m.

Homework Equations


v = f\lambda
f = \frac{v}{\lambda}

The Attempt at a Solution



v = 3 \times 10^8 \ ms^{-1}
\lambda = 6.5 \times 10^{-7} \ m

f = \frac{3 \times 10^8 }{6.5 \times 10^{-7} }

f = 4.6 \times 10^{14} Hz
f = 450 THz

Is my answer correct?
 
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looi76 said:

f = 4.6 \times 10^{14} Hz
f = 450 THz

Is my answer correct?


Everything looked fine until 4.6 \times 10^{14} became 450 \times 10^{12}.

Regards,

Bill
 

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