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Green light has a wavelength of about 510 nm and travels at a speed of 3.00 × 108 m/s. The frequency of green light, rounded to the nearest tenth and written in scientific notation, is ______ × 1014 Hz.

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smmwaite

Answer

5.9 × 10¹⁴ Hz


Explanation

The wave equation states that;

V = λf

Where V ⇒ velocity of light

λ ⇒ wavelength

f ⇒ frequency

V = λf

3.0×10⁸ = 510×10⁻⁹ × f

Dividing both sides by 510×10⁻⁹,

f = (3.0×10⁸) / (510×10⁻⁹)

= 5.8824 × 10¹⁴ Hz

Answer to the nearest tenth, 5.9 × 10¹⁴ Hz.

Eduard22sly

The frequency of the green light is 5.9×10¹⁴ Hz

Definition of frequency

Frequency is defined as the number of oscillations made in one second.

The frequency of a wave is related to it's speed and wavelength according to the following equation:

Velocity (v) = wavelength (λ) × frequency (F)

v = λf

How to determine the frequency of the green light

From the question given above, the following data were obtained:

  • Wavelength (λ) = 510 nm = 510×10⁻⁹ m
  • Velocity (v) = 3.0×10⁸ m/s
  • Frequency (f) =?

v = λf

3.0×10⁸ = 510×10⁻⁹ × f

Divide both side by 510×10⁻⁹

f = 3.0×10⁸ / 510×10⁻⁹

f = 5.9×10¹⁴ Hz

Learn more about wave:

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