Answer:
The wavelength of light is 68 nm.
Explanation:
Given data:
Binding energy of electron = 176 × 10³ Kj/ mol or (1.76× 10⁶ j/mol)
Wavelength of light require to remove the electron = ?
Solution:
E = hc / λ
h = planck constant (6.63×10⁻³⁴ J/s)
c = speed of light = (3×10⁸ m/s)
The energy require per electron is
1.76 × 10⁶ j / 6.02× 10²³ = 2.92 × 10⁻¹⁸ J
Now we will put the values in formula,
E = hc / λ
λ = hc / E
λ = 6.63×10⁻³⁴ m².kg.s⁻¹ . 3×10⁸ m/s / 2.92 × 10⁻¹⁸ J
λ = 19.89×10⁻²⁶ m /2.92 × 10⁻¹⁸ (m².kg.s⁻² = J)
λ = 6.8 ×10⁻⁸ m
λ = 6.8 ×10⁻⁸ × 10⁹
λ = 68 nm
