Question
The -decay process, discovered around 1900, is basically the decay of a neutron (n). In the laboratory, a proton (p) and an electron are observed as the decay products of the neutron. Therefore, considering the decay of a neutron as a two-body decay process, it was predicted theoretically that the kinetic energy of the electron should be a constant. But experimentally, it was observed that the electron kinetic energy has a continuous spectrum. Considering a three-body decay process, i.e. , around 1930, Pauli explained the observed electron energy spectrum. Assuming the anti-neutrino to be massless and possessing negligible energy, and the neutron to be at rest, momentum and energy conservation principles are applies. From this calculation, the maximum kinetic energy of the electron is . The kinetic energy carried by the proton is only the recoil energy.
If the anti-neutrino had a mass of (where c is the speed of light) instead of zero mass, what should be the range of the kinetic energy, K, of the electron ?
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Question 1
For a non-zero complex number , let denote theprincipal argument with Then, whichof the following statement(s) is (are) FALSE?where (b) The function defined by for all , iscontinuous at all points of , where (c) For any two non-zero complex numbers and , is an integer multiple of (d) For any three given distinct complex numbers , and , the locus of the point satisfying the condition , lies on a straight lineQuestion 2
Let be nonzero real numbers such that . Then which of the following is/are true? (a) (b) (c) (d) Question Text | The -decay process, discovered around 1900, is basically the decay of a neutron (n). In the laboratory, a proton (p) and an electron are observed as the decay products of the neutron. Therefore, considering the decay of a neutron as a two-body decay process, it was predicted theoretically that the kinetic energy of the electron should be a constant. But experimentally, it was observed that the electron kinetic energy has a continuous spectrum. Considering a three-body decay process, i.e. , around 1930, Pauli explained the observed electron energy spectrum. Assuming the anti-neutrino to be massless and possessing negligible energy, and the neutron to be at rest, momentum and energy conservation principles are applies. From this calculation, the maximum kinetic energy of the electron is . The kinetic energy carried by the proton is only the recoil energy. If the anti-neutrino had a mass of (where c is the speed of light) instead of zero mass, what should be the range of the kinetic energy, K, of the electron ? |