A proton ( mass 1.67 *10^-27 kg ) on striking a neutron
Answers
Dear Student,
# Complete question -
Q. A proton (mass 1.67 × 10^-27 kg) on striking neutron ( mass nearly equal to proton) forms a deutron. What would be the velocity of the deutron if it is formed by a proton moving left with a velocity of 7 × 10^6 m/s and a neutron moving right with a velocity of 4 × 10^6 m/s ?
◆ Answer -
v = 1.5×10^6 m/s
◆ Explanation -
# Given -
mp = 1.67×10^-27 kg
mn = 1.67×10^-27 kg
up = 7×10^6 m/s
un = -4×10^6 m/s
# Solution -
Let M be mass of deuteron and v be its velocity.
By law of conservation of momentum,
pi = pf
mp.up + mn.un = M.v
mp.up + mn.un = (mp+mn).v
(1.67×10^-27 × 7×10^6) + (1.67×10^-27 × -4×10^6) = (1.67×10^-27 + 1.67×10^-27) × v
v = (7×10^6 - 4×10^6) / 2
v = 1.5×10^6 m/s
Therefore, velocity of deuteron must be 1.5×10^6 m/s.
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Explanation:
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