Calculate the wavelength of a wave with a frequency of 1.0 × 1014 Hz and a speed of 3.0 × 108 m/s.

Step 1: Identify the given values. The frequency of the waves is f = 1.0 × 10¹⁴ Hz. The speed of light is c = 3.0 × 10⁸ m/s. Step 2: Use the wave equation to find the wavelength. The relationship between the speed of a wave (c), its frequency (f), and its wavelength (λ) is given by: c = f λ To find the wavelength (λ), rearrange the formula: λ = c/f Step 3: Substitute the given values into the formula. λ = 3.0 × 10⁸ m/s1.0 × 10¹⁴ Hz Step 4: Calculate the wavelength. λ = 3.0/1.0 × 10⁽⁸⁻¹⁴⁾ m; λ = 3.0 × 10⁻⁶ m The wavelength of the signal is 3.0 × 10⁻⁶ m.

Calculate the wavelength of a wave with a frequency of 1.0 × 1014 Hz and a speed of 3.0 × 108 m/s.

Step 1: Identify the given values. The frequency of the waves is f = 1.0 × 10¹⁴ Hz. The speed of light is c = 3.0 × 10⁸ m/s. Step 2: Use the wave equation to find the wavelength. The relationship between the speed of a wave (c), its frequency (f), and its wavelength (λ) is given by: c = f λ To find the wavelength (λ), rearrange the formula: λ = c/f Step 3: Substitute the given values into the formula. λ = 3.0 × 10⁸ m/s1.0 × 10¹⁴ Hz Step 4: Calculate the wavelength. λ = 3.0/1.0 × 10⁽⁸⁻¹⁴⁾ m; λ = 3.0 × 10⁻⁶ m The wavelength of the signal is 3.0 × 10⁻⁶ m.

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Calculate the wavelength of a wave with a frequency of 1.0 x 1014 Hz and a speed of 3.0 x 108 m/s.

April 4, 2026Physics

ScanSolve AI Answer

Answer

\text{3.0} \times 10^{-6} \, \text{m}

Step-by-step solution

4 steps

Identify the given values.
The frequency of the waves is $f = 1.0 \times 10^{14} \, \text{Hz}$ .
The speed of light is $c = 3.0 \times 10^8 \, \text{m/s}$ .
Use the wave equation to find the wavelength.
The relationship between the speed of a wave ( $c$ ), its frequency ( $f$ ), and its wavelength ( $\lambda$ ) is given by:
$c = f \lambda$
To find the wavelength ( $\lambda$ ), rearrange the formula:
$\lambda = \frac{c}{f}$
Substitute the given values into the formula.
$\lambda = \frac{3.0 \times 10^8 \, \text{m/s}}{1.0 \times 10^{14} \, \text{Hz}}$
Calculate the wavelength.
$\lambda = \frac{3.0}{1.0} \times 10^{(8-14)} \, \text{m}$ $\lambda = 3.0 \times 10^{-6} \, \text{m}$
The wavelength of the signal is $\text{3.0} \times 10^{-6} \, \text{m}$ .