A radioactive nuc eus is at rest when it spontaneously deca s by emitting an ele

Question

A radioactive nuc eus is at rest when it spontaneously deca s by emitting an electron and neutrino own in the fi ure below The momentum of the electron is 8 8·? -9 ms and it is directed at ight as s angles to that of the neutrino. The neutrino's momentum has magnitude 5.01 x 10-19 kg m/s. In what direction does the newly formed (daughter) nucleus recoil? Let the electron direction be along the positivex axis and find the direction of nucleus recoil with respect to the electron's direction Elcctron Daughter nucleus Neutrino Submit Answer Tries 0s What is its momentum?

Explanation / Answer

Mometum of daughter nucleus is equal and opposite

so we have tan (theta) = momentum of neutrino / momentum of electron

tan (theta) = 5.01e-19 / 8.18e-19

tan(theta) = 0.61247

theta = tan-1 (0.61247)

theta = 31.486 degree

b) pdaughter = sqrt ( p2neutrino  + p2electron)

pdaughter = sqrt ((5.01e-19)^2 + (8.18e-19)^2)

pdaughter = 9.592e-19 kgm/s

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