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Chapter 41: Q. 50 (page 1209)

An electrical discharge in a neon-filled tube maintains a steady population of 1.0脳109atoms in an excited state with 蟿=20ns. How many photons are emitted per second from atoms in this state?

Short Answer

Expert verified

The number of photons emitted per second is5.0脳1016s-1

Step by step solution

01

Rate of photon emission;

In other words, rate of photon emission is equal to the rate of decay.

rphoton=rdecay

Rate of decay is equal to the ratio of the excited atoms and the lifetime of the excited state,

rdecay=N蟿

Here,Nis the number of excited atoms and蟿is the lifetime of excited state.

02

The rate of photon emission:

So, the rate of photon emission or the number of photons emitted per second is,

rphoton=N蟿

Substitute 1.0脳109for Nand 20nsfor .

rphoton=1.0脳10920ns1.0s109ns=1.0脳10920脳10-9s=5.0脳1016s-1

Therefore, the number of photons emitted per second is5.0脳1016s-1

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