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JEE Main 202427 JanuaryEvening Shift
Exam
JEE Main
Year
2024
Date
27 January
Shift
Evening Shift
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2024 · 27 January · Evening Shift · Physics · Nuclear Physics

The atomic mass of C 12 6 is 12 . 000000u and that of C 13 6 is 13...

The atomic mass of C126C 12 6 is 12.000000u12 . 000000u and that of C136C 13 6 is 13.003354u13 . 003354u. The required energy to remove a neutron from C136C 13 6, if mass of neutron is 1.008665u1 . 008665u, will be:

Options

  1. A62.5MeV62 . 5MeV
  2. B6.25MeV6 . 25MeV
  3. C4.95MeV4 . 95MeV
  4. D49.5MeV49 . 5MeV

Correct answer

C. 4.95MeV4 . 95MeV

Step-by-step solution

Given the nuclear reaction is

C136+Energy→C126+n10C 13 6 + Energy \to C 12 6 + n 1 0

The mass defect for the above reaction can be calculated as follows:

{\Deltam=[(12.000000+1.008665)−13.003354]u=−0.00531u\begin{cases}\Deltam & = & \left[( 12 . 000000 + 1 . 008665 ) - 13 . 003354\right]u \\ & = & - 0 . 00531u\end{cases}

Hence, the energy required is given by

{E=0.00531×931.5MeV=4.95MeV\begin{cases}E & = & 0 . 00531 \times 931 . 5MeV \\ & = & 4 . 95MeV\end{cases}

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