A nucleus of uranium decays at rest into nuclei of thorium and helium. Then,

(a) the helium nucleus has more kinetic energy than the thorium nucleus

(b) the helium nucleus has less momentum than the thorium nucleus

(c) the helium nucleus has more momentum than the thorium nucleus

(d) the heium nucleus has less kinetic energy than the thonum nucleus

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Difficulty Level:

The binding energy per nucleon of  and nuclei are 5.60meV and 7.06meV, respectively.
In the nuclear reaction   , the value of energy Q released is -

(a)19.6MeV

(b)-2.4MeV

(c)8.4MeV

(d)17.3MeV

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Difficulty Level:

A radioisotope X with a half-life 1.4x109 yr decays of Y which is stable. A sample of the rock from a cave was found to contain X and Y in the ratio 1:7. The age of the rock is

(a)1.96x109 yr

(b)3.92x109 yr

(c)4.20x109 yr

(d)8.40x10yr

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Difficulty Level:

The half-life of a radioactive isotope X is 20 yr. It decays to another element Y which is stable. The two elements X and Y were found to be in the ratio 1:7 in a sample of a given rock. The age of the rock is estimated to be

(a) 40 yr

(b) 60 yr

(c) 80 yr

(d) 100 yr

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Difficulty Level:

A certain mass of hydrogen is changed to helium by the process of fusion. The mass defect in fusion reaction is 0.02866 u. The energy liberated per nucelon is (given 1 u = 931 MeV)

(a) 2.67 MeV

(b) 26.7 MeV

(c) 6.675 MeV

(d) 13.35 MeV

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Mass-energy equivalent
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Difficulty Level:

If the nuclear radius of ${}_{27}Al$ is 3.6 Fermi, the approximate nuclear radius of ${}_{64}Cu$ in Fermi is

(a)2.4                                         (b)1.2

(c)4.8                                         (d)3.6

Concept Questions :-

Mass-energy equivalent
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Difficulty Level:

A mixture consists of two radioactive materials ${A}_{1}$ and ${A}_{2}$ with half lives of 20 s and 10 s respectively.Initially the mixture has 40g of ${A}_{1}$ and 160g of ${A}_{2}$. The amount of the two in the mixture will become equal after

(a)60 s                                      (b)80 s

(c)20 s                                      (d) 40 s

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Difficulty Level:

The half life of a radioactive nucleus is

50 days. The time interval $\left({\mathrm{t}}_{2}-{\mathrm{t}}_{1}\right)$ between

the time ${\mathrm{t}}_{2}$ when $\frac{2}{3}$ of it has decayed and

the time ${\mathrm{t}}_{1}$ when $\frac{1}{3}$ of it had decayed is

(a) 30 days

(b) 50 days

(c) 60 days

(d) 15 days

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Difficulty Level:

The power obtained in a reactor using ${\mathrm{U}}^{235}$

disintegration is 1000 kW. The mass decay

of ${\mathrm{U}}^{235}$ per hour is

(a)

(b)

(c)

(d)

Concept Questions :-

Mass-energy equivalent
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Difficulty Level:

The half-life of a radioactive isotope X is 50 yr.

It decays to another element Y which is stable.

The two elements X and Y were found to be in

the ratio of 1:15 in a sample of a given rock.

The age of rock was estimated to be

(a) 200 yr

(b) 250 yr

(c) 100 yr

(d) 150 yr

Concept Questions :-