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Question: An electron jumps from 5<sup>th</sup> orbit to 4<sup>th</sup> orbit of hydrogen atom. Taking the Ryd...

An electron jumps from 5th orbit to 4th orbit of hydrogen atom. Taking the Rydberg constant as 10710^{7} per metre. What will be the frequency of radiation emitted.

A

6.75×1012Hz6.75 \times 10^{12} ⥂ Hz

B

6.75×1014Hz6.75 \times 10^{14}Hz

C

6.75×1013Hz6.75 \times 10^{13}Hz

D

None of these

Answer

6.75×1013Hz6.75 \times 10^{13}Hz

Explanation

Solution

By using ν=RC[1n121n22]\nu = RC\left\lbrack \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} \right\rbrack

ν=107×(3×108)[142152]\Rightarrow \nu = 10^{7} \times (3 \times 10^{8})\left\lbrack \frac{1}{4^{2}} - \frac{1}{5^{2}} \right\rbrack= 6.75 × 1013 Hz.