Advertisements
Advertisements
प्रश्न
The half-life of a certain radioactive element is 3.465 days. Find its disintegration constant.
उत्तर
TH = 3.465 days, λ = ?
We know that
λ = `0.693/"T"_"H"`
λ = `0.693/( 3.465 xx 24 xx 60 xx 60)` S-1
λ = 2.31 x 10-6 s-1
APPEARS IN
संबंधित प्रश्न
Write nuclear reaction equation for β+-decay of `""_43^97"Tc"`.
State the law of radioactive decay. hence derive the relation N = Noe-λt . Represent it graphically.
The half-life of 199Au is 2.7 days. (a) Find the activity of a sample containing 1.00 µg of 198Au. (b) What will be the activity after 7 days? Take the atomic weight of 198Au to be 198 g mol−1.
The count rate from a radioactive sample falls from 4.0 × 106 per second to 1.0 × 106per second in 20 hours. What will be the count rate 100 hours after the beginning?
The selling rate of a radioactive isotope is decided by its activity. What will be the second-hand rate of a one month old 32P(t1/2 = 14.3 days) source if it was originally purchased for 800 rupees?
4 × 1023 tritium atoms are contained in a vessel. The half-life of decay tritium nuclei is 12.3 y. Find (a) the activity of the sample, (b) the number of decay in the next 10 hours (c) the number of decays in the next 6.15 y.
238U decays to 206Pb with a half-life of 4.47 × 109 y. This happens in a number of steps. Can you justify a single half for this chain of processes? A sample of rock is found to contain 2.00 mg of 238U and 0.600 mg of 206Pb. Assuming that all the lead has come from uranium, find the life of the rock.
The half-life of radium is 1550 years. Calculate its disintegration constant (`lambda`) .
Plot a graph showing the variation of undecayed nuclei N versus time t. From the graph, find out how one can determine the half-life and average life of the radioactive nuclei.
Complete the following nuclear reactions :
(i) `"_15^32P -> ` `"_z^AX + bar(e) + bar(v)`
(ii) `"_6^12 C `+`"_6^12C ->` ` "_2^A Y + ` `"_4^2 He`
