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Q. 57

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1209

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Short Answer

An atom in an excited state has a chance of emitting a photon in . How long will it take for of a sample of excited atoms to decay?

The time taken for of a sample of excited atoms to decay is and excited atoms to decay are

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Step by Step Solution

Step 1 : Given information

We are given that atom in an excited state has a chance of emitting a photon in .

We need to find the time taken for of a sample of excited atoms to decay and excited atoms to decay.

Step 2 : Simplify

We will use the formula , , here which is given to us.It is time taken in emitting of photon. We need to find ,

By taking logarithm on both sides,

By solving we get ,

Now we will find time during which ;

We will use the equation ,

We will take logarithm on both sides,

We will get by solving the equation ,

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