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Obtain the Q-values for the following four nuclear reactions :
(i) ^{14}_{7}\text{N} + ^{4}_{2}\text{He} \rightarrow ^{17}_{8}\text{O} + ^{1}_{1}\text{H}
(ii) ^{7}_{3}\text{Li} + ^{4}_{2}\text{He} \rightarrow ^{10}_{5}\text{B} + ^{1}_{0}\text{n}
(iii) ^{6}_{3}\text{Li} + ^{1}_{1}\text{H} \rightarrow ^{3}_{2}\text{He} + ^{4}_{2}\text{He}
(iv) ^{23}_{11}\text{Na} + ^{1}_{1}\text{H} \rightarrow ^{20}_{10}\text{Ne} + ^{4}_{2}\text{He}
Describe the properties of field quanta of electro-weak and strong interactions of particles.
Write down the quark structure of the following hadrons: \Delta^{++}, \Omega^-, \Sigma^- and \Lambda^0 Write down the following decays in terms of quarks:
(i) n \to p + e^- \bar{\nu}_e
(ii) \Delta^+ \to \pi^+ + n
(iii) \Sigma^+ \to p + \pi^0
Discuss the shell model of the nucleus. What are its merits ?
Compute the density of a typical nucleus and find the resultant mass, if we could manufacture a nucleus with a radius of 1\text{ cm}.
What is kinematics of nuclear reaction ? What is the Q-value and its significance ?
Describe grand unification theories (GUT).
Write down the following decays in terms of quarks:
(i) \Omega^- \to \Lambda^0 + K^-
(ii) \Lambda^0 \to p + \pi^-
(iii) K^- \to \mu^- \bar{\nu}_\mu
Describe the quark model. Obtain the quark composition of baryons and mesons.
Discuss the four basic types of fundamental interactions in nature and compare them.
Obtain the ground-state wave function, depth of potential and range of nuclear force in deuteron and discuss. Also prove that no bound state exists for l \neq 0.
Calculate the energy released per gram of fuel for the nuclear reaction {}_1^2\text{H} + {}_1^2\text{H} \rightarrow {}_1^3\text{H} + {}_1^1\text{H}
What are the major components of a fission reactor ? With a schematic diagram explain its working.
What are the limitations of shell model?
How does liquid drop model explain fission?
Discuss Yukawa’s theory of nuclear forces.
What are salient features of nuclear forces?
It is possible to estimate the nuclear radius from the study of alpha decay? Explain how.
How are elementary particles classified on the basis of their participation in fundamental interaction?
Explain why each of the following reactions is forbidden :
(i) p + p \rightarrow p + p + n
(ii) p + p \rightarrow p + \pi^+ + \gamma
(iii) \Xi^0 \rightarrow n + \pi^0
(iv) \Lambda \rightarrow p + \pi^0
(v) $ u_e + p \rightarrow n + e^+$