3. A stationary atomic nucleus undergoes radioactive decay and a beta particle (a fast- moving electron) and a neutrino (a subatomic particle) are detected leaving the nucleus at high velocities as shown in the following figure. The momentum of the beta particle is 9.2× 10-21 kg-m/s [S] and the momentum of the neutrino is 4.9 × 10-21 kg•m/s [W]. The mass of the remaining nucleus is 3.6 x 10-25 kg.
3. A stationary atomic nucleus undergoes radioactive decay and a beta particle (a fast- moving electron) and a neutrino (a subatomic particle) are detected leaving the nucleus at high velocities as shown in the following figure. The momentum of the beta particle is 9.2× 10-21 kg-m/s [S] and the momentum of the neutrino is 4.9 × 10-21 kg•m/s [W]. The mass of the remaining nucleus is 3.6 x 10-25 kg.
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so read the question and my answer and I need a direction on the velocity. (what should it be?)
![3] Mass of remaining nucleus after decay = 3.6x16 25 kg
P= 4.9 x 102¹ kg mls
P = 9.2 x 10²¹ kgmlş
-21
a] applying law of
law of
conservation of momentum
Momentum before decay = Momentum after decay
Before decay the atom is stationary, V = 0
momentum P = mv = 0
Momentum after decay = P(V₂) + P(B) +mv
By putting values, we get
0 = (4.9x102¹) +(9.2x1021) +(3.6 x1025) V
V =
-21
(4.9 x 9.2) x 10 m/2
3.6 x 1025
V =
of remaining
-3.92 x 10 mla This is the receil velocity
nucleus](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd6348d9-7344-4e3e-8d34-121346a27b95%2F80d575c1-1b8f-4cf7-bfbb-6440f47cd4b8%2Fl0xs07i_processed.png&w=3840&q=75)
Transcribed Image Text:3] Mass of remaining nucleus after decay = 3.6x16 25 kg
P= 4.9 x 102¹ kg mls
P = 9.2 x 10²¹ kgmlş
-21
a] applying law of
law of
conservation of momentum
Momentum before decay = Momentum after decay
Before decay the atom is stationary, V = 0
momentum P = mv = 0
Momentum after decay = P(V₂) + P(B) +mv
By putting values, we get
0 = (4.9x102¹) +(9.2x1021) +(3.6 x1025) V
V =
-21
(4.9 x 9.2) x 10 m/2
3.6 x 1025
V =
of remaining
-3.92 x 10 mla This is the receil velocity
nucleus
![3. A stationary atomic nucleus undergoes radioactive decay and a beta particle (a fast-
moving electron) and a neutrino (a subatomic particle) are detected leaving the
nucleus at high velocities as shown in the following figure. The momentum of the beta
particle is 9.2× 10-21 kg-m/s [S] and the momentum of the neutrino is 4.9 × 10-21
kg-m/s [W]. The mass of the remaining nucleus is 3.6 × 10-25 kg.
p=4.9 x 10-²¹ (kg)m/s [W]
B
p = 9.2 x 10-²¹ (kg)m/s [S]
a. What is the recoil velocity of the remaining nucleus?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd6348d9-7344-4e3e-8d34-121346a27b95%2F80d575c1-1b8f-4cf7-bfbb-6440f47cd4b8%2Fwxl3fw6_processed.png&w=3840&q=75)
Transcribed Image Text:3. A stationary atomic nucleus undergoes radioactive decay and a beta particle (a fast-
moving electron) and a neutrino (a subatomic particle) are detected leaving the
nucleus at high velocities as shown in the following figure. The momentum of the beta
particle is 9.2× 10-21 kg-m/s [S] and the momentum of the neutrino is 4.9 × 10-21
kg-m/s [W]. The mass of the remaining nucleus is 3.6 × 10-25 kg.
p=4.9 x 10-²¹ (kg)m/s [W]
B
p = 9.2 x 10-²¹ (kg)m/s [S]
a. What is the recoil velocity of the remaining nucleus?
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