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Question : 21
Total: 27
Why is it difficult to detect the presence of an antineutrino during β -decay? Define the term decay constant of a radioactive nucleus and derive the expression for its mean life in terms of the decay constant.
OR
(a) State two distinguishing features of nuclear force.
(b) Draw a plot showing the variation of potential energy of a pair of nucleons as a function of their separation. Mark the regions on the graph where the force is (i) attractive, and (ii) repulsive.
OR
(a) State two distinguishing features of nuclear force.
(b) Draw a plot showing the variation of potential energy of a pair of nucleons as a function of their separation. Mark the regions on the graph where the force is (i) attractive, and (ii) repulsive.
Solution:
Reason for difficulty in detecting presence of antineutrino during β decay
Define decay constant of radioactive nucleus
Derive expression for mean life in terms of decay constant
● Penetrating power is high
● Do not interact with matter (weak interaction) (any one)
● Decay constant is the reciprocal of the time duration in which undecayed radioactive nuclei reduce to1 ∕ e times the nuclei present initially.
τ =
τ =
τ =
= λ ∫ t e − λ t dt
τ =
OR
(a) Stating distinguishing feature of nuclear force.
(b) Drawing a plot showing variation of potential energy.
(c) Marking the regions.
(1) Short rang force
(2) Strongest force
(3) Attractive in nature
(4) Does not depend on charge (any two)
(b)r < r 0 : repulsive force
r > r 0 : attractive force
Define decay constant of radioactive nucleus
Derive expression for mean life in terms of decay constant
● Penetrating power is high
● Do not interact with matter (weak interaction) (any one)
● Decay constant is the reciprocal of the time duration in which undecayed radioactive nuclei reduce to
OR
(a) Stating distinguishing feature of nuclear force.
(b) Drawing a plot showing variation of potential energy.
(c) Marking the regions.
(1) Short rang force
(2) Strongest force
(3) Attractive in nature
(4) Does not depend on charge (any two)
(b)
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