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Obtain approx. the ratio of the nuclear ...

Obtain approx. the ratio of the nuclear radii of the gold isotope `._79Au^(197)` and silver isotope `._47Ag^(107)`.

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To find the ratio of the nuclear radii of the gold isotope \( _{79}^{197}\text{Au} \) and the silver isotope \( _{47}^{107}\text{Ag} \), we can use the formula for nuclear radius: \[ R = R_0 A^{1/3} \] where: - \( R \) is the nuclear radius, ...
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The ratio of the nuclear radii of the gold isotope ._79^197Au and silver isotope ._47^107Ag is

Uranium ores on the earth at the present time typically have a composition consisting of 99.3% of the isotope ._92U^238 and 0.7% of the isotope ._92U^235 . The half-lives of these isotopes are 4.47xx10^9yr and 7.04xx10^8yr , respectively. If these isotopes were equally abundant when the earth was formed, estimate the age of the earth.

Uranium ores on the earth at the present time typically have a composition consisting of 99.3% of the isotope _92U^238 and 0.7% of the isotope _92U^235 . The half-lives of these isotopes are 4.47xx10^9yr and 7.04xx10^8yr , respectively. If these isotopes were equally abundant when the earth was formed, estimate the age of the earth.

In the chemical analysis of a rock the mass ratio of two radioactive isotopes is found to be 100:1 . The mean lives of the two isotopes are 4xx10^9 years and 2xx10^9 years, respectively. If it is assumed that at the time of formation the atoms of both the isotopes were in equal propotional, calculate the age of the rock. Ratio of the atomic weights of the two isotopes is 1.02:1 .

In the chemical analysis of a rock the mass ratio of two radioactive isotopes is found to be 100:1 . The mean lives of the two isotopes are 4xx10^9 years and 2xx10^9 years, respectively. If it is assumed that at the time of formation the atoms of both the isotopes were in equal propotional, calculate the age of the rock. Ratio of the atomic weights of the two isotopes is 1.02:1 .

Gold ._(79)^(198)Au undergoes beta^(-) decay to an excited state of ._(80)^(198)Hg . If the excited state decays by emission of a gamma -photon with energy 0.412 MeV , the maximum kinetic energy of the electron emitted in the decay is (This maximum occurs when the antineutrino has negligble energy. The recoil enregy of the ._(80)^(198)Hg nucleus can be ignored. The masses of the neutral atoms in their ground states are 197.968255 u for ._(79)^(198)Hg ).

In a helium dilution refrigerator .^(3)He and .^(4)He are mixed in a special chamber to obtain extremely low temperature. A Bainbridge mass spectrometer is used to measure the ratio of the two isotopes (a) If the spectrometer were used with 100 V cm^(-1) between the plates and a magnetic field of 0.2 T, what would be the speed of an ion that can pass through the velocity filter? (b) If the velocity-filter exit slit were 1 mm wide, could this machine resolve the two isotopes ?

The isotope of U^(238) and U^(235) occur in nature in the ratio 140:1 . Assuming that at the time of earth's formation, they were present in equal ratio, make an estimate of the age of earth. The half lives of U^(238) and U^(235) are 4.5xx10^9 years and 7.13xx10^8 years respectively. Given log_(10)140=2.1461 and log_(10)2=0.3010.

The nuclei of two radioactive isotopes of same substance A^(236) and A^(234) are present in the ratio of 4:1 in an ore obtained from some other planet. Their half lives are 30min and 60min respectively. Both isotopes are alpha emitters and the activity of the isotope with half-life 30min is 10^(6)dps . Calculate after how much time their activites will become identical. Also calculate the time required to bring the ratio of their atoms to 1:1 .

NCERT ENGLISH-NUCLEI-Exercise
  1. Obtain the amount of .^60Co necessary to provide a radioactive source ...

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  2. The half life of .38Sr^(90) is 28 years. What is disintegration rate o...

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  3. Obtain approx. the ratio of the nuclear radii of the gold isotope .79A...

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  4. Consider the following nuclear fission reaction .(88)Ra^(226) to ....

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  5. The radionuclide .6C^(11) decays according to .6C^(11)to .5B^(11) +e^(...

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  6. The nucleus .^(23)Ne deacays by beta-emission into the nucleus .^(23)...

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  7. The Q value of a nuclear reaction A+b=C+d is defined by Q=[mA+mb-mC-...

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  8. Suppose, we think of fission of a .26Fe^(56) nucleus into two equal fr...

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  9. The fission properties of .84Pu^(239) are very similar to those of .92...

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  10. A 1000 MW fission reactor consumes half of its fuel in 5.00yr. How muc...

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  11. How long can an electric lamp of 100W be kept glowing by fusion of 2.0...

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  12. Calculate the height of potential barrier for a head on collision of t...

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  13. from the relation R=R0A^(1//3), where R0 is a constant and A is the ma...

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  14. for the beta^(+) (positron) emission from a nucleus, there is another ...

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  15. In a periodic table, the average atomic mass of magnesium is given as ...

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  16. The neutron separation energy is defined to be the energy required to ...

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  17. A source contains two phosphorus radionuclides .(15)P^(35) (T(1//2)=14...

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  18. Under certain circumstances, a nucleus can decay by emitting a particl...

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  19. Consider the fission .(92)U^(238) by fast neutrons. In one fission eve...

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  20. Consider the so called D-T reaction (deuterium-tritium fusion) .1H^2+....

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