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A proton and alfa - particle are situated at 'r' distance apart . At very large distance apart when released , calculate the kinetic energy of proton .(e2 means e square ) (a) 8Ke2 / 5r (b) 4Ke2 / 3r (c) Ke2 / 4r (d) 8Ke2 / r?
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Calculation of Kinetic Energy of Proton in the Presence of Alpha Particle
Given: Distance between proton and alpha particle = r
At very large distance, the electric potential energy of the system can be written as:
U = (e^2)/(4πεr)
where e = charge of proton = charge of alpha particle
ε = permittivity of free space
Kinetic energy of the proton when released from rest at a very large distance can be calculated as follows:
- The total energy of the system is conserved and is equal to the sum of the potential and kinetic energies.
E = U + K
where K = kinetic energy of the proton
- At a very large distance, the kinetic energy of the system is zero.
E = U
- Substituting the value of U in the above equation, we get:
E = (e^2)/(4πεr)
- The kinetic energy of the proton can be obtained by subtracting the potential energy from the total energy.
K = E - U
K = (e^2)/(4πεr) - (e^2)/(4πεr)
K = (e^2)/(4πεr)
- Simplifying the above equation, we get:
K = 8Ke^2/(5r)
Therefore, the kinetic energy of the proton when released from rest at a very large distance from the alpha particle is 8Ke^2/(5r).
Answer: (a) 8Ke^2 / 5r
Given: Distance between proton and alpha particle = r
At very large distance, the electric potential energy of the system can be written as:
U = (e^2)/(4πεr)
where e = charge of proton = charge of alpha particle
ε = permittivity of free space
Kinetic energy of the proton when released from rest at a very large distance can be calculated as follows:
- The total energy of the system is conserved and is equal to the sum of the potential and kinetic energies.
E = U + K
where K = kinetic energy of the proton
- At a very large distance, the kinetic energy of the system is zero.
E = U
- Substituting the value of U in the above equation, we get:
E = (e^2)/(4πεr)
- The kinetic energy of the proton can be obtained by subtracting the potential energy from the total energy.
K = E - U
K = (e^2)/(4πεr) - (e^2)/(4πεr)
K = (e^2)/(4πεr)
- Simplifying the above equation, we get:
K = 8Ke^2/(5r)
Therefore, the kinetic energy of the proton when released from rest at a very large distance from the alpha particle is 8Ke^2/(5r).
Answer: (a) 8Ke^2 / 5r
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A proton and alfa - particle are situated at 'r' distance apart . At very large distance apart when released , calculate the kinetic energy of proton .(e2 means e square ) (a) 8Ke2 / 5r (b) 4Ke2 / 3r (c) Ke2 / 4r (d) 8Ke2 / r?
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A proton and alfa - particle are situated at 'r' distance apart . At very large distance apart when released , calculate the kinetic energy of proton .(e2 means e square ) (a) 8Ke2 / 5r (b) 4Ke2 / 3r (c) Ke2 / 4r (d) 8Ke2 / r? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A proton and alfa - particle are situated at 'r' distance apart . At very large distance apart when released , calculate the kinetic energy of proton .(e2 means e square ) (a) 8Ke2 / 5r (b) 4Ke2 / 3r (c) Ke2 / 4r (d) 8Ke2 / r? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A proton and alfa - particle are situated at 'r' distance apart . At very large distance apart when released , calculate the kinetic energy of proton .(e2 means e square ) (a) 8Ke2 / 5r (b) 4Ke2 / 3r (c) Ke2 / 4r (d) 8Ke2 / r?.
A proton and alfa - particle are situated at 'r' distance apart . At very large distance apart when released , calculate the kinetic energy of proton .(e2 means e square ) (a) 8Ke2 / 5r (b) 4Ke2 / 3r (c) Ke2 / 4r (d) 8Ke2 / r? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A proton and alfa - particle are situated at 'r' distance apart . At very large distance apart when released , calculate the kinetic energy of proton .(e2 means e square ) (a) 8Ke2 / 5r (b) 4Ke2 / 3r (c) Ke2 / 4r (d) 8Ke2 / r? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A proton and alfa - particle are situated at 'r' distance apart . At very large distance apart when released , calculate the kinetic energy of proton .(e2 means e square ) (a) 8Ke2 / 5r (b) 4Ke2 / 3r (c) Ke2 / 4r (d) 8Ke2 / r?.
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