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PhysicsModern PhysicsNuclear physicsMedium2 minPYQ_2021

PhysicsMediumsingle choice

A nucleus with mass number $184$ 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.

Question diagram: A nucleus with mass number 184 initially at rest emits an α

Options:

Answer:

D

Solution:

$\frac{1}{2} (4 m) v^{2} + \frac{1}{2} (180 m) {(\frac{4 v}{180})}^{2} = 5.5 MeV$

$\Rightarrow \frac{1}{2} 4 {mv}^{2} [1 + 45 {(\frac{4}{180})}^{2}] = 5.5 MeV$
$\Rightarrow K . E ._{α} = \frac{5.5}{1 + 45 \cdot {(\frac{4}{180})}^{2}} MeV = 5.38 MeV$

Stream:JEESubject:PhysicsTopic:Modern PhysicsSubtopic:Nuclear physics

⏱ 2mℹ️ Source: PYQ_2021

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