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Q 1. If the atomic masses of Lithium, Helium and Proton are 7.01823 amu, 4.00387 amu and 1.00815 amu respectively, calculate the energy that will be evolved in the reaction. .

(Given that 1 amu = 931 MeV)

17.3 MeV

17.8 MeV

17.2 MeV

17.0 MeV

Total mass of the reacting species

and

The mass of the resulting species

amu

Mass of reacting species converted into energy, i.e., amu

Energy evolved in the reaction

MeV.

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Q 2. Calculate the mass defect and binding energy per nucleon for . [The mass of , mass of hydrogen atom = 1.008142 amu and mass of neutron = 1.008982 amu].

8.77 MeV

8.25 MeV

9.01 MeV

8.00 MeV

Number of protons in

Number of neutrons = 59 - 27 = 32

The binding energy per nucleon

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Q 3. Calculate the number of neutrons in the remaining atom after emission of an alpha particle from atom

146

145

144

143

On account of emission of an alpha particle, the atomic mass is decreased by 4 units and atomic number by 2 units

So, Atomic mass of daughter element = 234

Atomic number of daughter element = 90

Number of neutrons = Atomic mass - Atomic number

= 234 - 90 = 144

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Q 4. Radioactive disintegration of takes place in the following manner into

, Determine mass number and atomic number of RaC.

214 and 84

214 and 86

214 and 83

214 and 85

Parent element is

Atomic mass = 226

Atomic number = 88

RaC is formed after the emission of 3 alpha particles. Mass of 3 alpha particles

So Atomic mass of RaC

With emission of one α-particle, atomic number is decreased by 2 and with emission of β-particle, atomic number is increased by 1.

So Atomic number of RaC

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Q 5. How many 'α and β' particles will be emitted when changes into

2 and 6

4 and 2

2 and 4

6 and 2

The change is;

Decrease in mass

Mass of 1 α-particle

Therefore, number of α-particles emitted

Number of β-particles emitted

Hence number of α-particles = 4 and number of β-particles = 2

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Q 6. The isotopes and occur in nature in the ratio of 140 : 1. Assuming that at the time of earth formation, they were present in equal ratio, make an estimation of the age of earth. The half life period of and are and years respectively

years

years

years

years

Let the age of the earth be t years

For ......(i)

For ......(ii) Subtracting eq. (ii) from eq. (i)

years

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