What is Radioactive Decay? Half Life | Decay Constant | Activity (+ Problems Solving)

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[@FortheLoveofPhysics]

Thank you so much for your kind words. I am very glad that u found my work helpful. It is this that keeps motivating me.. :)

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@@FortheLoveofPhysics how to find decay constant of mixture of sample with decay constant lamda1 and lamda2

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Thanks a lot for your encouraging comment :)

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With increase in time ...number of undecay particle decrease...that those who decaying or become stable is mass also decreased

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ln(2) rounded to 2 significant figures is epic.

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[@pradyumnalenka8411]

Great teaching Professor.. Appreciate your efforts to make things utterly simple to understand by analogical examples. I have few doubts, which I hope you will try to find time to clarify. How half lives of different isotopes are measured. Like, I can guess, for radio-isotopes with half lives in days, months or few years, it can be measured from the slope of their decay curves made from periodic measurements of chemically separated samples. But for isotopes having half lives in nanoseconds, microsecond or even seconds and minutes how it is measured? Also for isotopes like U-238 which has half lives in billions of years, which virtually does not decay at all in measurement time scales, how practically their half lives are measured? I hope and wish that, you will come up with a video for these doubts. Thank you so much

[@FortheLoveofPhysics]

Half life is one parameter. If you take any radioactive material, and calculate its mass variation over a sufficient time period, you can plot it as an exponential function and from there derive all necessary parameters

[@pradyumnalenka8411]

@@FortheLoveofPhysics How practically it is possible to estimate half life of a short-lived radionuclide e.g. Po-214 or Po-218 or Po-212 and there are many others, whose half lives are in micro or nano seconds. In practical measurement time scale mass variation can not be measured, as in a second all activity will be decayed to near zero level.

[@OganessonTazulislamislam]

1. The half-life of a radioactive element is 4d. Determine the decay constant of the element. 2. The half-life of 238 U is 450 million years. Calculate the mean life and decay constant? 3. The half-life of radioactive is 30 days. Find the value a) break/decay constant b) mean life. 4. Average life of radium is 2294 years. Find its decay constant and half-life.

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Please sir,This math solving Please sir.

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[@DavidG2P]

May I suggest you do a video on the (alleged) randomness of radioactive particle decay? This actually can't be "RANDOM" since the half-life period is an exact CONSTANT for every element. If it would be TRULY random (i.e. not dependent of ANYTHING, including particle properties like the element's mass), any half-life time period would not EXIST at all. So aren't there hidden variables that exactly DETERMINE when that one particle HAS to decay? And if there aren't hidden variables, how can radioactive decay be deterministic?

[@FortheLoveofPhysics]

Imagine you throw 60 dices together, then you can say with a degree of certainty that 10 out of those dices will display number "1". This is how probability works. Although you cannot predict which number will be displayed when u throw one dice, but when you repeat the experiment for many dices, you can give an estimate of probability. It is the same with radioactivity. You CANNOT predict when one radioactive nuclei will decay. But if u have 100 radioactive nuclei, then u can say with certainty how long will it take for 50 of those to decay. This is how half-life is defined. I did a video on Gamow's theory of alpha decay, which basically gives us a clue how quantum mechanical tunneling which is a probabilistic event leads to radioactive decay . If u are interested, you can check that out: kzbin.info/www/bejne/qabNZoCKgax0i7c

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Q. A radioactive isotope has a half life 40days.what is the time required for the activity to fall to 1/8th of it's original value.???

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120

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120

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Please make videos on thermodynamics.