A nucleus with mass number 220 initially at rest

Asked by admin @ 17/08/2021 in Physics viewed by 261 People

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

A) 4.4 MeV
B) 5.4 MeV
C) 5.6 MeV
D) 6.5 MeV

Answered by admin @ 17/08/2021

Given:

The mass no of nucleus, A = 220

The heat energy released, Q = 5.5 MeV

To Find:

The kinetic energy of the α-particle
.

Calculation:

- The value of Kinetic Energy of α-particle can be calculated by the formula:

K $_{He}$ = {(A - 4) /A} × Q

⇒ K $_{He}$ = {(220 - 4) /220} × 5.5

⇒ K $_{He}$ = {216/ 220} × 5.5

⇒ K $_{He}$ = 5.4 MeV

- Hence, the correct answer for the kinetic energy of the α-particle is (B) 5.4 MeV.

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