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A particle of mass M at rest decays into two particles of mass m1 and m2 having non zero velocities. find out ratio of de Broglie wavelength of the two particle.?
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A particle of mass M at rest decays into two particles of mass m1 and ...
Explanation:
When a particle of mass M at rest decays into two particles of mass m1 and m2, the total momentum of the system remains conserved.
So, we can write:
M * 0 = m1 * v1 + m2 * v2 (total momentum of the system)
Using the de Broglie wavelength equation, we can write:
λ = h/p (where λ is the de Broglie wavelength, h is the Planck's constant, and p is the momentum of the particle)
Ratio of de Broglie wavelength:
Let's find out the ratio of de Broglie wavelength of the two particles:
For particle 1:
p1 = m1 * v1
λ1 = h/p1 = h/(m1 * v1)
For particle 2:
p2 = m2 * v2
λ2 = h/p2 = h/(m2 * v2)
Taking the ratio of λ1 and λ2, we get:
λ1/λ2 = (m2 * v2)/(m1 * v1)
From the momentum conservation equation, we can write:
m1 * v1 = - m2 * v2
So,
v2/v1 = - m1/m2
Substituting v2/v1 in the λ1/λ2 equation, we get:
λ1/λ2 = - (m2/m1) * (m1/m2) = -1
Therefore, the ratio of de Broglie wavelength of the two particles is -1.
This means that the two particles have opposite phases of wave function.
When a particle of mass M at rest decays into two particles of mass m1 and m2, the total momentum of the system remains conserved.
So, we can write:
M * 0 = m1 * v1 + m2 * v2 (total momentum of the system)
Using the de Broglie wavelength equation, we can write:
λ = h/p (where λ is the de Broglie wavelength, h is the Planck's constant, and p is the momentum of the particle)
Ratio of de Broglie wavelength:
Let's find out the ratio of de Broglie wavelength of the two particles:
For particle 1:
p1 = m1 * v1
λ1 = h/p1 = h/(m1 * v1)
For particle 2:
p2 = m2 * v2
λ2 = h/p2 = h/(m2 * v2)
Taking the ratio of λ1 and λ2, we get:
λ1/λ2 = (m2 * v2)/(m1 * v1)
From the momentum conservation equation, we can write:
m1 * v1 = - m2 * v2
So,
v2/v1 = - m1/m2
Substituting v2/v1 in the λ1/λ2 equation, we get:
λ1/λ2 = - (m2/m1) * (m1/m2) = -1
Therefore, the ratio of de Broglie wavelength of the two particles is -1.
This means that the two particles have opposite phases of wave function.
Community Answer
A particle of mass M at rest decays into two particles of mass m1 and ...
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A particle of mass M at rest decays into two particles of mass m1 and m2 having non zero velocities. find out ratio of de Broglie wavelength of the two particle.?
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A particle of mass M at rest decays into two particles of mass m1 and m2 having non zero velocities. find out ratio of de Broglie wavelength of the two particle.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle of mass M at rest decays into two particles of mass m1 and m2 having non zero velocities. find out ratio of de Broglie wavelength of the two particle.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass M at rest decays into two particles of mass m1 and m2 having non zero velocities. find out ratio of de Broglie wavelength of the two particle.?.
A particle of mass M at rest decays into two particles of mass m1 and m2 having non zero velocities. find out ratio of de Broglie wavelength of the two particle.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle of mass M at rest decays into two particles of mass m1 and m2 having non zero velocities. find out ratio of de Broglie wavelength of the two particle.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass M at rest decays into two particles of mass m1 and m2 having non zero velocities. find out ratio of de Broglie wavelength of the two particle.?.
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