Question

An electron in a lower energy level (n1 = 2) absorbs 4.58 x 10-22 kJ of energy and moves to a higher energy level (n2), calculate the value of n2. [Note: A = 2.18 x 10-18 J]

Answer 1

Answer:

To find: The value of n₁

solution: using formula,

AE = 2.18 × 10^-18 [1/n - 1/nz]

⇒ 4.0875 × 10^-19 = 2.18 x 10^-18 [1/n₁² -

1/4²]

⇒ 4.0875 × 10^-19/(2.18 x 10^-18) = [1/n₁² -

1/16]

⇒ 0.1875 = 1/n₁² - 0.0625

⇒1/n,² 1/n,² = 0.1875 +0.0625 = 0.25 = 1/4 =

1/2²

⇒ n₁ = 2

Therefore the value of n₁ = 2