The radius of a nucleus of a mass number A is directly proportional to [MH CET 1999; AMU (En.) 2001; UPSEAT 2004; DUMET 2010]

(1) ${A}^{3}$           (2) A             (3) ${A}^{2/3}$             (4) ${A}^{1/3}$

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The half life of $P{o}^{218}$ is 3 minutes. What fraction of a 10 gram sample of $P{o}^{218}$, will remain after 15 minutes?

(1) $\frac{1}{32}$         (2) $\frac{1}{64}$            (3) $\frac{1}{25}$            (4) $\frac{1}{15}$

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${m}_{P}$ and ${m}_{n}$ are masses of proton and neutron respectively. An element of mass m has Z protons and N neutrons, then

(1) $m>Z{m}_{p}+N{m}_{n}$

(2) $m=Z{m}_{p}+N{m}_{n}$

(3) $m

(4) m may be greater than, less than or equal to $Z{m}_{p}+N{m}_{n}$, depending on the nature of the element.

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The nuclei  can be described as [1990]

(1) isotones        (2) isobars          (3) isotopes of carbon           (4) isotopes of nitrogen

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The radioactivity of a sample is ${A}_{1}$ at a time ${t}_{1}$ and ${A}_{2}$ at time ${t}_{2}$.  If the mean life of the specimen is T, the number of atoms that have disintegrated in the time interval of ${t}_{2}-{t}_{1}$ is:

(1) ${A}_{1}-{A}_{2}$             (2) $\frac{{A}_{1}-{A}_{2}}{T}$               (3) $\left({A}_{1}-{A}_{2}\right)T$                (4) ${A}_{1}{t}_{1}-{A}_{2}{t}_{2}$

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Three fourth of the active nuclei decay in a radioactive sample in 3/4 s. The half-life of the sample is

(1)           (2) 1 s             (3)              (4)

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What is the radius of iodine atom? (atomic no. 53, mass no. 126) [1988]

(1)

(2)

(3)

(4)

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Which of the following statements is true for nuclear forces? [1990]

(1) They obey the inverse square law of distance.

(2) They obey the inverse third power law of distance.

(3) They are short range forces.

(4) They are equal in strength to electromagnetic forces.

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The ratio of the radii of the nuclei ${}_{13}A{l}^{27}$ and ${}_{52}T{e}^{125}$ is approximately [1990]

(1) 6 : 10               (2) 13 : 52              (3) 40 : 177                (4) 14 : 73

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Bragg's law for X-rays is

(1) d sin $\theta$= 2 n$\lambda$                          (2) 2d sin $\theta$= n$\lambda$

(3) n sin $\theta$= 2 $\lambda$d                          (4) None of these