Questions

A nucleus with mass number 220 initially at rest emits an $α$ -particle. If the Q value of the reaction is 5.5 MeV, calculate the kinetic energy of the $α$ -particle

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4.4 MeV

5.4 MeV

5.6 MeV

6.5 MeV

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detailed solution

Correct option is B

Q-value of the reaction is 5.5 eVi.e., k1+ k2 =5.5 MeV .......(i)By conservation of linear momentump1=p2⇒2(216)k1 =2(4)k2 ⇒k2=54k1 ....(ii)On solving equation (i) and (ii) we flet k2= 5.4 MeV.

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What is the total energy emitted for given fission reaction

$_{0}^{1} n +_{92}^{235} U ⟶_{92}^{236} U ⟶_{40}^{98} Z r +_{52}^{136} T e + 2_{0}^{1} n$

The daughter nuclei are unstable therefore they decay into stable end products ${}_{42}^{98}M o and {}_{54}^{136}X e$ by successive emission of β-particles. Let mass of $_{0}^{1} n = 1.0087$ amu, mass of $_{92}^{235} U = 236.0526$ amu, mass of $_{54}^{136} Xe = 135.9170$ amu, mass of ${}_{42}^{98}M o$ = 97.9054