Explain the results of Rutherford α-particle scattering experiment.

What are the drawbacks of Rutherford atom model?

Write the application of alpha decay in smoke detectors.

Explain Chain reaction.

The half-life of  \(_{ 38 }^{ 90 }{ Sr }\) is 28 years. What is the disintegration rate of 15 mg of this isotope?

Two stable isotopes of lithium \(_{ 3 }^{ 6 }{ Li }\) and \(_{ 3 }^{ 7 }{ Li }\) have respective abundances of 7.5% and 92.5%. These isotopes have masses 6.01512 u and 7.01600 u respectively. Find the atomic mass of lithium.

Obtain the amount  \(_{ 27 }^{ 60 }{ Co }\) necessary to provide a radioactive source of 8.0 mCi strength. The half-life of \(_{ 27 }^{ 60 }{ Co }\) is 5.3 years.

In a nuclear reactor, \(_{ }^{ 235 }U{ }\) undergoes fission liberating 200 MeV of energy. The reactor has a 10% efficiency and produces 1000 MW power. If the reactor is to function for 10 years, find the total mass of uranium required.

In an ore containing uranium, the ratio of \(^{ 238 }{ U }\) to \(_{ }^{ 206 }{ Pb }\) nuclei are 3. Calculate the age of the ore assuming that all the lead present in the ore is the final stable product of \(^{ 238 }{ U }\). Take half-life of \(^{ 238 }{ U }\) to be 4.5 x 10⁹ years.

The binding energies per nucleon for deuteron \((_{ 1 }^{ 2 }{ H })\) and helium \((_{ 2 }^{ 4 }{ He) }\) are 1.1 MeV and 7 MeV respectively. Determine the energy released when two deuterons fuse to form a helium nucleus \((_{ 2 }^{ 4 }{ He) }\)

A radioactive nucleus X converts into stable nucleus Y. Half-life of X is 50 years. Calculate the age of the radioactive sample when the ratio of X and Y is 1:15.

For a radioactive material, half-life period is 600s. If initially there are 600 number of molecules, find the time taken for disintegration of 450 molecules and the rate of disintegration.

Calculate the amount of \(_{ 84 }^{ 210 }{ Po }\) required to the particle of activity 5 millicurie. Given half-life of Po = 138 days, NA = 6.023 X 10^23, 1 curie = 3.7 x 10¹⁰ disintegrations.

The age of a rock containing lead and uranium is equal to 1.5 x 10⁹ years. The uranium is decaying into lead with half-life equal to 4.5 x 10⁹ years, Find the ratio of lead to uranium present in the rock, assuming initially no lead was present in the rock.
(Given: 2^1/3 = 1.259)

The half-life of radium is 1600 years. After how many years will one gram of the pure radium be reduced to one centigram?