A radioactive material has a half life of 10 days. What fraction of the material would remain after 30 days

(a) 0.5               (b) 0.25
(c) 0.125            (d) 0.33

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Starting with a sample of pure ${}_{66}\mathrm{Cu}$$\frac{7}{8}$ of it decays into Zn in 15 min. The corresponding half-life is
(a) 5 min               (b) $7\frac{1}{2}$ min
(c) 10 min             (d) 15 min

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A radioactive material has a half-life of 8 years. The activity of the material will decrease to about 1/8 of its original value in
(a) 256 year            (b) 128 year
(c) 64 year              (d) 24 year

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A nucleus of mass 218 amu in free state decays to emit an $\mathrm{\alpha }$-particle. Kinetic energy of the $\mathrm{\alpha }$-particle emitted is 6.7 MeV. The recoil energy (in MeV) of the daughter nucleus is

(a) 1.0              (b) 0.5
(c) 0.25            (d) 0.125

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Types of decay
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${\mathrm{C}}^{14}$ has half life 5700 years. At the end of 11400 years, the actual amount left is

(a) 0.5 of original amount
(b) 0.25 of original amount
(c) 0.125 of original amount
(d) 0.0625 of original amount

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Mean life of a radioactive sample is 100 seconds. Then its half life (in minutes) is
(a) 0.693                (b) 1
(c) ${10}^{-4}$                 (d) 1.155

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${}_{86}{}^{222}\mathrm{A}\to {}_{84}{}^{210}\mathrm{B}$. In this reaction how many $\mathrm{\alpha }$ and $\mathrm{\beta }$ particles are emitted
(a) 6$\mathrm{\alpha }$, 3$\mathrm{\beta }$          (b) 3$\mathrm{\alpha }$, 4$\mathrm{\beta }$
(c) 4$\mathrm{\alpha }$, 3$\mathrm{\beta }$          (d) 3$\mathrm{\alpha }$, 6$\mathrm{\beta }$

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Types of decay
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(a) Exothermic change which increases or decreases with temperature
(b) Increases on applied pressure
(c) Nuclear process does not depend on external factors
(d) None of the above

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If half life of radium is 77 days. Its decay constant in day will be
(a) $3×{10}^{-13}$/day            (b) $9×{10}^{-3}$/day
(c) $1×{10}^{-3}$/day              (d) $6×{10}^{-3}$/day

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In a sample of radioactive material, what fraction of the initial number of active nuclei will remain undisintegrated after half of a half-life of the sample
(a) $\frac{1}{4}$        (b) $\frac{1}{2\sqrt{2}}$
(c) $\frac{1}{\sqrt{2}}$     (d) $2\sqrt{2}$

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