Assertion (A): Consider the following nuclear reaction of an unstable \(_6^{14}C\) nucleus initially at rest. The decay \(_6^{14}C to _7^{14}N + _{-1}^0e + \bar{nu}\). In a nuclear reaction total energy and momentum is conserved experiments show that the electrons are emitted with a continuous range of kinetic energies upto some maximum value.
Reason (R): Remaining energy is released as thermal energy.
Solution:
Assertion (A) is true. In (beta) decay, the energy is shared between the electron and the antineutrino, leading to a continuous energy spectrum for the electron. Reason (R) is false. The continuous energy spectrum is due to the sharing of energy with the antineutrino, not conversion to thermal energy.
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