A fission reaction is given by U 92 236 → X e 54 140 + S r 38 94 + x + y , where x and y are two…

A fission reaction is given by U92236Xe54140+Sr3894+x+y , where x and y are two particles. Considering U92236 to be at rest, the kinetic energies of the products are denoted by KXe, KSr, Kx(2 MeV) and Ky2 MeV , respectively. Let the binding energies per nucleon of U92236, Xe54140  and Sr3894 be 7.5 MeV, 8.5 MeV, and 8.5 MeV respectively. Considering different conservation laws, the correct option(s) is (are)
  1. x=n, y=n, KSr=129 MeV, KXe=86 MeV
  2. x=p, y=e-, KSr=129 MeV, KXe=86 MeV
  3. x=p, y=n, KSr=129 MeV, KXe=86 MeV
  4. x=n, y=n, KSr=86 MeV, KXe=129 MeV

Solution

UXe+Sr+x+2   y2
Q=4+KXe+KSr ...(i)
-Q=EB=236×7.5-140×8.5-94×8.5
Q=219 ...(ii)
KXe+KSr=215 MeV
Since, both x & y have same KE
both particles should have same mass & lighter body will have higher KE. .

Asked in: JEE Advanced 2015 (Paper 2)

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