JEE Main202312 Apr 2023Morning ShiftPhysicsNuclear PhysicsActual
A common example of alpha decay is 238 92 U → 234 90 Th + 2 He 4 + Q Given: 238 92 U = 238 . 05060   u 234 90 Th = 234 . 04360   u 4 2 He = 4 . 00260   u and 1 u = 931 . 5 MeV c 2 The energy released Q during the alpha decay of 238 92 U is _____ MeV .
Correct answer
0
Step-by-step solution
The formula to calculate the Q-value of the given nuclear reaction can be written as Q = m U - m Th - m He c 2       . . . 1 Substitute the values of the known parameters into equation (1) to calculate the required Q-value for the reaction. Q = 238 . 05060   u - 234 . 04360   u - 4 . 00260   u c 2 = 0 . 0044 c 2 × 931 . 5   MeV / c 2 ≈   4   MeV