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# Lifetimes of the Molecules in the Excited States Are Often Measured by Using Pulsed Radiation Source of Duration Nearly in the Nano Second Range Calculate the Energy of the Source - CBSE (Science) Class 12 - Physics

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ConceptBohr'S Model for Hydrogen Atom

#### Question

Lifetimes of the molecules in the excited states are often measured by using pulsed radiation source of duration nearly in the nano second range. If the radiation source has the duration of 2 ns and the number of photons emitted during the pulse source is 2.5 × 1015, calculate the energy of the source.

#### Solution

Frequency of radiation (ν),

v = 1/(2.0 xx 10^(9))

v = 5.0 xx 10^8 s^(-1)

Energy (E) of source = Nhν

Where,

N = number of photons emitted

h = Planck’s constant

ν = frequency of radiation

Substituting the values in the given expression of (E):

E = (2.5 × 1015) (6.626 × 10–34 Js) (5.0 × 108 s–1)

E = 8.282 × 10–10 J

Hence, the energy of the source (E) is 8.282 × 10–10 J.

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Solution Lifetimes of the Molecules in the Excited States Are Often Measured by Using Pulsed Radiation Source of Duration Nearly in the Nano Second Range Calculate the Energy of the Source Concept: Bohr'S Model for Hydrogen Atom.
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