The nucleus of element X A-220 undergoes -decay- If Q-value of the reaction is 5-5 MeV- then the kinetic energy of - - particle is-

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Question

The nucleus of element $X (A = 220)$ undergoes $α - d e c a y .$ If Q-value of the reaction is $5.5 M e V,$ then the kinetic energy of $α - p a r t i c l e$ is:

5.4 M e V

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10.8 M e V

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2.7 M e V

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N o n e

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Solution

The correct option is A $5.4 M e V$
Applying law of conservation of linear momentum and using the energy released
Velocity of $α$ -particle and daughter nucleus is
Therefore, the kinetic energy of $α$ particle
$E = \frac{220 - 4}{220} \times 5.4$
$E = 5.4 M e v$
Hence, the kinetic energy is 5.4 Mev

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The nucleus of element X(A=220) undergoes α−decay. If Q-value of the reaction is 5.5 MeV, then the kinetic energy of α−particle is:

The correct option is A 5.4 MeVApplying law of conservation of linear momentum and using the energy releasedVelocity of α -particle and daughter nucleus isTherefore, the kinetic energy of α particle E=220−4220×5.4 E=5.4MevHence, the kinetic energy is 5.4 Mev

The nucleus of element $X (A = 220)$ undergoes $α - d e c a y .$ If Q-value of the reaction is $5.5 M e V,$ then the kinetic energy of $α - p a r t i c l e$ is: