Understanding Wave Properties and Calculations

The energy of a photon can be calculated using the formula: $$E = h \times f$$ , where E is energy, h is Planck's constant (6.626 x 10^-34 J·s), and f is frequency.

The relationship is given by the equation: @@c = u imes ext{λ}@@, where c is the speed of light (3.0 x 10^8 m/s), ν (nu) is frequency, and λ (lambda) is wavelength.

The wavelength can be calculated using the formula: $$\text{λ} = \frac{h}{E}$$ , where h is Planck's constant and E is the energy of the photon.

The speed of light in a vacuum is $$3.0 \times 10^8$$ m/s.

Planck's constant is a fundamental constant used in quantum mechanics, valued at approximately $$6.626 \times 10^{-34}$$ J·s.

Using the formula $$E = h \times f$$ , the energy is approximately 3.313 x 10^-16 J.

Using the formula $$\text{λ} = \frac{h}{E}$$ , the wavelength is 0.02 m.

Using the formula $$E = h \times f$$ , the energy is approximately 2.98 x 10^-21 J.

Use the formula: $$\text{λ} = \frac{c}{f}$$ , where c is the speed of light and f is frequency.

Using the formula $$E = \frac{h \times c}{\text{λ}}$$ , the energy is approximately 9.939 x 10^-27 J.