as per latest research a proton and a neutron consist of three constituent each.if two type of constituent particle denoted by 'X' of charge 2e/3 and 'Y' of charge -e/3, together with electron wild up the matter. find possible composition of proton or neutron?
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Answer:
The composition of the proton is XXY.
The composition of the neutron is XYY.
Explanation:
Charge on X is 2e/3
Charge on Y is -e/3
Charge on proton(p) is e
Charge on neutron(n) is 0
For a proton:
Let a proton contains 'a' X type of particles and '(3 - x)' Y type if particles.
Then the total charge on the proton is:
a(2e/3) + (3 - a)(-e/3) = e
⇒ 2a/3 - (3 - a)/3 = 1
⇒ 2a - (3 - a) = 3
⇒ 2a - 3 + a = 3
⇒ 3a = 6
⇒ a = 2
Therefore, there are 2, X types of particles and 1, Y type of particle in a proton.
The composition of the proton is XXY.
For a neutron:
Let a neutron contains 'b' X type of particles and (3 - b) Y type of particles.
Then the total charge on the neutron is:
b(2e/3) + (3 - b)(-e/3) = 0
⇒ 2b - (3 - b) = 0
⇒ 2b - 3 + b = 0
⇒ b = 1
Therefore, there are 1, X types of particles and 2, Y types of particles in a neutron.
The composition of the neutron is XYY.
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