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calculate the energy of an EM wave having wavelength 4.2nm

Sagot :

The energy of an electromagnetic wave that has a wavelength of 4.2nm is 4.731 × 10-¹⁷ J.

How to calculate energy of a wave?

The energy of a wave can be calculated using the following formula:

E = hf

Where;

  • E = energy
  • h = Planck's constant (6.626 × 10-³⁴J/s)
  • f = frequency of the wave

However, the frequency must be calculated first as follows:

λ = v / f

Where;

  • λ = wavelength
  • v = speed of light (3 × 10⁸m/s)

4.2 × 10-⁹ = 3 × 10⁸/f

f = 7.14 × 10¹⁶Hz

Energy = 6.626 × 10-³⁴ × 7.14 × 10¹⁶

Energy of the wave = 4.731 × 10-¹⁷ J

Therefore, the energy of an electromagnetic wave that has a wavelength of 4.2nm is 4.731 × 10-¹⁷ J.

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