Question

What is the wavelength of electromagnetic radiation which has a frequency of 3.818 x 10^14 Hz?

Answer 1

Answer:

7.86×10⁻⁷ m

Explanation:

Using,

v = λf.................. Equation 1

Where v = velocity of electromagnetic wave, λ = wave length, f = frequency.

make λ the subject of the equation

λ = v/f............... Equation 2

Note: All electromagnetic  wave have the same speed which is 3×10⁸ m/s.

Given: f = 3.818×10¹⁴ Hz

Constant: v = 3×10⁸ m/s

Substitute these values into equation 2

λ  =  3×10⁸/3.818×10¹⁴

λ  = 7.86×10⁻⁷ m

Hence the wavelength of the electromagnetic radiation is  7.86×10⁻⁷ m

Answer 2

The wavelength of this electromagnetic radiation is equal to $7.86 \times 10^{-7} \;meters$

Given the following data:

• Frequency = $3.818\times 10^{14}\;Hz$

Scientific data:

Velocity of an electromagnetic radiation = $3 \times 10^8\;m/s$

To determine the wavelength of this electromagnetic radiation:

Mathematically, the wavelength of an electromagnetic radiation is calculated by using the formula;

$Wavelength = \frac{Speed }{frequency}$

Substituting the given parameters into the formula, we have;

$Wavelength = \frac{3 \times 10^8}{3.818\times 10^{14}}$

Wavelength = $7.86 \times 10^{-7} \;meters$

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