English
Karnataka Board PUCPUC Science 2nd PUC Class 12

Write nuclear reaction equation for α-decay of Ra88226Ra. - Physics

Advertisements
Advertisements

Question

Write nuclear reaction equation for α-decay of `""_88^226"Ra"`.

Short Note

Solution

α is a nucleus of helium `(""_2^4"He")` and β is an electron (e− for β and e+ for β+). In every α-decay, there is a loss of 2 protons and 4 neutrons. In every β+-decay, there is a loss of 1 proton and a neutrino is emitted from the nucleus. In every β-decay, there is a gain of 1 proton and an antineutrino is emitted from the nucleus.

For the given case, the various nuclear reaction can be written as:

`""_88^226"Ra" -> ""_86^222"Rn" + ""_2^4"He"`

shaalaa.com
  Is there an error in this question or solution?
Chapter 13: Nuclei - Exercise [Page 462]

APPEARS IN

NCERT Physics [English] Class 12
Chapter 13 Nuclei
Exercise | Q 13.6 (i) | Page 462
NCERT Physics [English] Class 12
Chapter 13 Nuclei
Exercise | Q 6.1 | Page 462

RELATED QUESTIONS

Write nuclear reaction equation for electron capture of `""_54^120"Xe"`.


Draw graphs showing variation of photoelectric current with applied voltage for two incident radiations of equal frequency and different intensities. Mark the graph for the radiation of higher intensity.


A radioactive nucleus has a decay constant λ = 0.3465 (day)–1. How long would it take the nucleus to decay to 75% of its initial amount?


A certain sample of a radioactive material decays at the rate of 500 per second at a certain time. The count rate falls to 200 per second after 50 minutes. (a) What is the decay constant of the sample? (b) What is its half-life?


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 half-life of 226Ra is 1602 y. Calculate the activity of 0.1 g of RaCl2 in which all the radium is in the form of 226Ra. Taken atomic weight of Ra to be 226 g mol−1 and that of Cl to be 35.5 g mol−1.


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?


In an agricultural experiment, a solution containing 1 mole of a radioactive material (t1/2= 14.3 days) was injected into the roots of a plant. The plant was allowed 70 hours to settle down and then activity was measured in its fruit. If the activity measured was 1 µCi, what per cent of activity is transmitted from the root to the fruit in steady state?


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.


Radioactive isotopes are produced in a nuclear physics experiment at a constant rate dN/dt = R. An inductor of inductance 100 mH, a resistor of resistance 100 Ω and a battery are connected to form a series circuit. The circuit is switched on at the instant the production of radioactive isotope starts. It is found that i/N remains constant in time where i is the current in the circuit at time t and N is the number of active nuclei at time t. Find the half-life of the isotope.


`""_83^212"Bi"` can disintegrate either by emitting an α-particle of by emitting a β-particle. (a) Write the two equations showing the products of the decays. (b) The probabilities of disintegration α-and β-decays are in the ratio 7/13. The overall half-life of 212Bi is one hour. If 1 g of pure 212Bi is taken at 12.00 noon, what will be the composition of this sample at 1 P.m. the same day?


In a gamma ray emission from nucleus : 


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`


Half-life of a certain radioactive material is 8 hours.

Find the disintegration constant of this material.


Half life of a certain radioactive material is 8 hours.
If one starts with 600 g of this substance, how much of it will disintegrate in one day? 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×