A signal of the form Asin(? ? t) is emitted for a time T o , How long must T o b

Question

A signal of the form Asin(??t) is emitted for a time To, How long must To be in order for ?the spread in frequencies in the signal, ??, to be less than ??/100? That is, one wants ???/?? < 1/100. (Hint: use the uncertainty relations and find To in terms of ??.) PLEASE EXPLAIN WITH FULL DETAIL TO BE SELECTED AS BEST ANSWER.

A signal of the form A sin(??t) is emitted for a time To, How long must To be in order for ?the spread in frequencies in the signal, ??, to be less than ??/100? That is, one wants ???/??

Explanation / Answer

In GAUSSION FUNCTION we see that uncetrainity in time and w are related as

dw*dt = 1

dt = To

dw is spread in w here is should be < w/100.

dw<w/100

1/dt <w/100

1/To<w/100

To>100/w

So To must be 100/w Long atleast

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