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

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

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Mass-energy equivalent
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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

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The relationship between disintegration constant $\left[\lambda \right]$ and half-life [T] will be:

(1)                     (2)

(3)                       (4)

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Alpha particles are

(1) 2 free protons

(2) helium atoms

(3) singly ionized helium atoms

(4) doubly ionised helium atoms

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Mass-energy equivalent
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A radioactive sample with a half-life of 1 month has the label: 'Activity = 2 microcurie on 1-8-1991'. What would be its activity two months earlier?

(1) 1.0 microcurie

(2) 0.5 microcurie

(3) 4 microcurie

(4) 8 microcurie

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If the nuclear force between two protons, two neutrons and between proton and neutron is denoted by  respectively, then 

(1) ${F}_{pp}\approx {F}_{nn}\approx {F}_{pn}$

(2)

(3) ${F}_{pp}={F}_{nn}={F}_{pn}$

(4) ${F}_{pp}\ne {F}_{nn}\ne {F}_{pn}$

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Nuclear binding energy
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A radioactive element has half-life period 800 yr. After 6400 yr, what fraction will remain? 

(1) $\frac{1}{2}$              (2) $\frac{1}{16}$            (3) $\frac{1}{8}$              (4) $\frac{1}{256}$

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If radius of the ${}_{12}{}^{27}Al$ nucleus is taken to be ${R}_{Al}$, then the radius of ${}_{53}{}^{125}Te$ nucleus is nearly

(1) $\frac{5}{3}{R}_{Al}$                  (2) $\frac{3}{5}{R}_{Al}$              (3) ${\left(\frac{13}{53}\right)}^{1/3}{R}_{Al}$            (4) ${\left(\frac{53}{13}\right)}^{1/3}{R}_{Al}$

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Mass-energy equivalent
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In a given reaction,

${}_{Z}X^{A}\to {}_{Z+1}Y^{A}\to {}_{Z-1}K^{A-4}\to {}_{Z-1}K^{A-4}$

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

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If a proton and anti-proton come close to each other and annihilate, how much energy will be released:

(1)

(2)

(3)

(4) None of these

Concept Questions :-

Mass-energy equivalent