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Q.

According to Bohr's theory, the electron in orbits have definite energy values, then according to uncertainty principle, the life time of an excited state will be

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a

Infinite

b

Finite

c

10^–8 sec

d

Zero

answer is D.

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Detailed Solution

According to Bohr's theory, $∆ E = 0$ ……….(1)

According to uncertainty principle, $∆ p \cdot ∆ x \geq \frac{h}{4 π}$

$\Rightarrow (\frac{∆ p}{∆ t} \cdot ∆ x) \cdot ∆ t \geq \frac{h}{4 π}$

$\Rightarrow ∆ E \cdot ∆ t \geq \frac{h}{4 π}$ ………. (2)

from (1) and (2) , $∆ t = infinite$

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