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Question 11: In what ways is the time constant RC similar to and different from (a) Radioactive decay constant (b) Radioactive half-life?

ANSWER

The decay of charge on a capacitor is given by q = q0e-t/RC. Here RC is the decay constant.

The decay of a radioactive substance is given by N = N0e-λt. Here λ is the decay constant.

Similarities

  • Both quantities have an exponential change. Hence the curve of charge against time in capacitor has the same shape as the decay of radioactive nuclei against time.
  • In the same intervals of time, the decay ratios in both processes is same.

Differences

  • Time constant is the duration of time after which 37% charge remains on the capacitor. The decay constant λ is the rate of disintegration per nucleus.
  • The unit of time constant is second (s). The unit of decay constant is per second (s-1).

5 Comments

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    • admin

      sa
      Yes. However a fully explained answer might include some advanced level mathematics. That may be out of the scope of the question. If you are a student of second year, be contented with it. Otherwise, you can find a lot of stuff on the subject together with the exponential functions in mathematics. Thank you so much.

  3. Pingback:short-questions-ch20-p12 – msa

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