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test
Le Fevre High School
(a) Assuming that the nucleus was initially at rest, find the momentum of recoil of the nucleus. the total momentum is conserved p
T(after)
p
But
=
T(after)
p
T(before)
=p e + =0
p
= 0 as nucleus initially at rest. p
+
neutrino
recoiled nucleus
Three momenta after must add up as vectors to give zero. This will occur if the three vectors complete the three sides of a triangle so that the resultant is of zero length = 1.2 x 10
e
-
k p neutrino -22 = 0.6 x 10 k
o
90
nucleus
So
p
nucleus =
(1.2
2
2 + 0.6 )
-22
x 10
= 1.34 x 10-22 kg m s at angle -1
tan
.6 x 10-22 1.2 x 10-22
= 1 = 2
o = 26.6 pe nucleus
153
neutrino
p
nucleus
= 1.3 x 10
-22
-1
o
kg m s at 150 (2sf) to direction of recoil electron
(b) With what velocity does the nucleus begin to recoil? -25 (mass of nucleus = 3.35 x 10 kg). v
=
1.34 x 10 22 3.35 x10 25
= 400 m s i.e. v = 400 m s
-1
-1
o
(2 s.f.) at an angle 153 to direction of recoil electron