If a radioactive nucleus decays according to the following reaction

X18072αX1βX2αX3γX4

then the mass number and the atomic number of X4 then the mass number and the atomic number of X4 will be, respectively [MP PET 2002]

(1) 172, 70                     (2) 172, 69

(3) 172, 68                     (4) 171, 69

Concept Questions :-

Radioactivity
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Two radioactive materials X1 and X2 have decay constants 10λ and λ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X1 to that of X2 will be 1e after a time

(1) 110 λ                     (2) 111 λ

(3) 1110 λ                     (4) 19 λ

Concept Questions :-

Radioactivity
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A radioactive material has mean-lives of 1620 yr and 520 yr for α and β-emission. The material decays by simultaneous α and β-emission. The time in which 1/4th of the material remains intact is 

(a) 4675 yr                                 (b) 720 yr

(c) 545 yr                                   (d) 324 yr

Concept Questions :-

Radioactivity
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The radioactivity of an element becomes 164th of its original value in 60 seconds. Then the half value period is

(1) 5 sec              (2) 10 sec            (3) 20 sec            (4) 30 sec

Concept Questions :-

Radioactivity
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A nucleus of P84210o originally at rest emits α particle with speed ν. What will be the recoil speed of the daughter necleus. [DCE 2002]

(1) 4ν / 206                          (2) 4ν / 214

(3) ν / 206                            (4) ν / 214

Concept Questions :-

Types of decay
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An atom of mass number 15 and atomic number 7 captures an α-particle and then emits a proton. The mass number and atomic number of the resulting product will respectively be

(1) 14 and 2                          (2) 15 and 3

(3) 16 and 4                          (4) 18 and 8

Concept Questions :-

Types of decay
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If radius of the Al1327 nucleus is estimated to be 3.6 fermi then the radius of T52125e nucleus be nearly

(a) 4 Fermi                                     (b) 5 Fermi

(c) 6 Fermi                                     (d) 8 Fermi

Concept Questions :-

Mass-energy equivalent
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Solar energy is mainly caused due to [2003]

(1) fusion of protons during synthesis of heavier elements

(2) gravitational contraction

(3) burning of hydrogen in the oxygen

(4) fission of uranium present in the sun

Concept Questions :-

Mass-energy equivalent
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A sample of radioactive elements contains 4×1010 active nuclei. If half-life of element is 10 days, then the number of decayed nuclei after 30 days is [2002]

(1) 0.5×1010                   (2) 2×1010

(3) 3.5×1010                   (4) 1×1010

Concept Questions :-

Radioactivity
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A and B are two radioactive substances whose half-lives are 1 and 2 years respectively. Initially 10 g of A and 1 g of B is taken. The time (approximate) after which they will have the same quantity remaining is

(1) 6.62 yr                (2) 5 yr                (3) 3.2 yr                   (4) 7 yr

Concept Questions :-

Radioactivity
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