Question

Electron in hydrogen atom makes a transition from m to l shell.The ratio of initial to final acceleration

Answer 1

Electron in hydrogen atom makes a transition from m to l shell.

To find : The ratio of initial to final acceleration.

solution : According to Bohr's atomic theory,

radius of nth orbit, r ∝ n²/Z

velocity of electron in nth orbit, v ∝ Z/n

then acceleration of electron in nth orbit, a = v²/r

= (Z/n)²/(n²/Z)

= Z³/n⁴

so acceleration, a ∝ 1/n⁴

now for m shell, n = 3

for l shell, n = 2

now initial acceleration/final acceleration = a₁/a₂

= (n₂/n₁)⁴ = (2/3)⁴ = 16/81

Therefore the ratio of initial to final acceleration is 16 : 81.

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Answer 2

Answer:

Electron in hydrogen atom makes a transition from m to l shell. To find : The ratio of initial to final acceleration. Therefore the ratio of initial to final acceleration is 16 : 81.

Explanation:

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