An electron in a lower energy level (n1) absorbs 4.0875 x 10-19 J of energy and moves to a higher energy level of n2 = 4, calculate the value of n1. [Note: A = 2.18 x 10-18 J]
Answers
Given : An electron in a lower energy level (n₁) absorbs 4.0875 × 10^-19 J of energy and moves to a higher level of n₂ = 4.
To find : The value of n₁
solution : using formula,
∆E = 2.18 × 10^-18 [1/n₁² - 1/n₂²]
⇒4.0875 × 10^-19 = 2.18 × 10^-18 [1/n₁² - 1/4²]
⇒4.0875 × 10^-19/(2.18 × 10^-18) = [1/n₁² - 1/16]
⇒0.1875 = 1/n₁² - 0.0625
⇒1/n₁² = 0.1875 + 0.0625 = 0.25 = 1/4 = 1/2²
⇒n₁ = 2
Therefore the value of n₁ = 2
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