Answer: 1.15 × 10⁷ Hz
Explanation:
Frequency = Speed of Light ÷ Wavelength
= (2.99 × 10⁸ m/s) ÷ (2.6 × 10 m)
= 1.15 × 10⁷ Hz
The frequency of a wave of wavelength 2600 cm is 1.15 × 10⁷ Hz
Notes:
Hz ≡ /s
1 m = 100 cm
The frequency of a 2,600 cm wave is 1.15 × 10⁷ s⁻¹
From the question,
We are to determine the frequency of a wave with wavelength 2600 cm.
Using the formula
[tex]c = \nu \lambda[/tex]
Where c is the speed of light (c = 3.0 × 10⁸ m/s)
[tex]\nu[/tex] is the frequency
[tex]\lambda[/tex] is the wavelength
Then, we can write that
[tex]\nu = \frac{c}{\lambda}[/tex]
From the question
λ = 2600 cm = 26 m
Putting the parameters into the formula, we get
[tex]\nu = \frac{3.0 \times 10^{8} }{26}[/tex]
[tex]\nu = 0.11538 \times 10^{8}[/tex]
[tex]\nu \approx 1.15 \times 10^{7} \ s^{-1}[/tex]
Hence, the frequency of a 2,600 cm wave is 1.15 × 10⁷ s⁻¹
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