Physics Nuclei

The half-life of a radioactive nuclide is 100 hours. The fraction of original activity that will remain after 150 hours would be:
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A radioactive nucleus ${}_{\mathrm{Z}}^{\mathrm{A}}\mathrm{X}$ undergoes spontaneous decay in the sequence  ${}_{\mathrm{Z}}^{\mathrm{A}}\mathrm{X}\to {}_{\mathrm{Z}-1}\mathrm{B}\to {}_{\mathrm{Z}-3}\mathrm{C}\to {}_{\mathrm{Z}-2}\mathrm{D}$ , where $\mathrm{Z}$ is the atomic number of element $\mathrm{X}$ . The possible decay particles in the sequence are:
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In the given nuclear reaction, the elements X is: ${}_{11}^{22}\mathrm{N}\mathrm{a}\to \mathrm{X}+{\mathrm{e}}^{+}+v$

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The decay of a proton to neutron is :
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A radioactive sample disintegrates via two independent decay processes having half lives T?/?¹? and T?/?²? respectively. The effective half-life, T?/? of the nuclei is:

Given the masses of various atomic particles m? = 1.0072u, m? = 1.0087u, m? = 0.000548u, m? = 0, m? = 2.0141u, where p = proton, n = neutron, e = electron, v = antineutrino and d = deuteron. Which of the following process is allowed by momentum and energy conservation?
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In a radioactive material, fraction of active material remaining after time t is 9/16. The fraction that was remaining after t/2 is

In a reactor, 2 kg of ₉₂U²³⁵ fuel is fully used up in 30 days. The energy released per fission is 200MeV. Given that the Avogadro number, N = 6.023 × 10²⁶ per kilo mole and 1eV = 1.6 × 10⁻¹⁹ J. The power output of the reactor is close to:
(A) 60MW

You are given that Mass of ?Li = 7.0160u, Mass of ?He = 4.0026u and ¹H = 1.0079u. When 20 g of ?Li is converted into ?He by proton capture, the energy liberated, (in kWh), is [Mass of nucleon = 1GeV/c²]
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