Respuesta :
Answer:
[tex]\lambda=459.1\times 10^{-7}\ m[/tex] = 459.1 nm
This wavelength corresponds to yellow color and thus gold has warm yellow color.
Explanation:
Given that:- Energy = 2.7 eV
Energy in eV can be converted to energy in J as:
1 eV = 1.602 × 10⁻¹⁹ J
So, Energy = [tex]2.7\times 1.602\times 10^{-19}\ J=4.33\times 10^{-19}\ J[/tex]
Considering:-
[tex]E=\frac{h\times c}{\lambda}[/tex]
Where,
h is Plank's constant having value [tex]6.626\times 10^{-34}\ Js[/tex]
c is the speed of light having value [tex]3\times 10^8\ m/s[/tex]
[tex]\lambda[/tex] is the wavelength of the light
So,
[tex]4.33\times 10^{-19}=\frac{6.626\times 10^{-34}\times 3\times 10^8}{\lambda}[/tex]
[tex]4.33\times \:10^{26}\times \lambda=1.99\times 10^{20}[/tex]
[tex]\lambda=459.1\times 10^{-7}\ m[/tex] = 459.1 nm
This wavelength corresponds to yellow color and thus gold has warm yellow color.
