A nucleus with mass number 184 initially at rest emits an α - particle. If the Q value of the reaction…

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.
  1. 5.0 MeV
  2. 5.5 MeV
  3. 0.12 MeV
  4. 5.38 MeV

Solution

124 mv2+12180 m4v1802=5.5 MeV

⇒  124 mv21+4541802=5.5 MeV
⇒  K.E.α=5.51+45·41802 MeV=5.38 MeV

Asked in: JEE Main 2021 (22 Jul Shift 1)

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