Question

the wavelengthof radiation required to remove the electron of hydrogen atom (Ionisation energy 21.7into 10^-7)erg from n=2orbit to n=infinity​

Answer 1

Answer:

3.67 * 10⁻⁵ cm

Explanation:

To calculate the energy required to remove electron from atom, n = ∞ is to be taken.

Energy of an electron in nth orbit of hydrogen is given by

E = 21.7 * 10⁻¹² * 1/n² ergs

∴ ∆E = 21.7 * 10⁻¹² (1/2² – 1/∞²)

= - 21.7 * 10⁻¹² (1/4 – 0) = 21.7 * 10⁻¹² * 1/4

= - 5.42 * 10⁻¹² ergs

∴ ∆E = hc/λ (∵ v = c/λ)

Or λ = hc/∆E

Substituting the values, λ = 6.627 *10⁻²⁷ *3 *1010/5.42 * 10⁻¹²

= 3.67 * 10⁻⁵ cm

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