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10. The wavelength of the color red is 650 × 10⁻⁹ m

11. The frequency of the color red is approximately 4.6122 × 10¹⁴ Hertz

12. The corresponding energy  is approximately 3.058 × 10⁻¹⁹ J

Explanation:

10. Given that the wavelength, λ, of the color red is 650 nm, and one nanometer, nm = 10⁻⁹ m, we have;

The wavelength of the color red = 650 × 10⁻⁹ m

11. The frequency, v, of the color red is obtained from the relation, v = c/λ

Where;

c = The speed of light = 299,792,458 m/s

∴ v = 299,792,458/(650 × 10⁻⁹) ≈ 4.6122 × 10¹⁴ Hertz

12. Given that energy emitted by light, E = h × v, where E = 6.63 × 10⁻³⁴ J/s, we have;

E = 6.63 × 10⁻³⁴ J·s × 4.6122 × 10¹⁴ Hz ≈ 3.058 × 10⁻¹⁹ J

Therefore,  the corresponding energy, E ≈ 3.058 × 10⁻¹⁹ J.