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Nuclear Fusion

Consider a nu...

Question

Consider a nuclear reaction $A + B \to C$ . A nucleus A moving with kinetic energy of 5 MeV collides with a nucleus B moving with kinetic energy of 3 MeV and forms a nucleus C is excited state. Find the kinetic energy of nucleus C just after its formation if it is formed in a state with excitation energy 10 MeV. Take masses of nuclei of A, B, and C as 25.0, 10.0, 34.995 amu, respectively.
$(1 a m u = 930 M e V / c^{2})$

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Solution

$A + B \to C$
Energy released $= △ m c^{2} = (25 + 10 - 34.995) \times 930 M e V = 4.65 M e V$
K.E. $= 10 - 4.65 = 5.35 M e V$

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