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A radioactive nucleus of mass M emits a photon of frequency v and the nucleus recoils. The recoil energy will be A) hv B) Mc^2 - hv C) (hv)^2 / 2Mc^2?
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Recoil Energy Calculation
Recoil energy refers to the energy acquired by a nucleus when it emits a photon and recoils in the opposite direction. The calculation of recoil energy involves considering the conservation of momentum and energy in the system.
Given Parameters:
- Mass of the radioactive nucleus: M
- Frequency of the emitted photon: v
- Speed of light: c
Conservation of Momentum:
When the nucleus emits a photon, it experiences a recoil in the opposite direction in order to conserve momentum. The momentum of the photon can be given as hv/c, where h is the Planck's constant. Therefore, the momentum of the recoiling nucleus will also be hv/c.
Recoil Energy Calculation:
The recoil energy of the nucleus can be calculated using the kinetic energy formula:
KE = (1/2) * m * v^2
However, in this scenario, as the mass of the nucleus is much greater than the mass of the photon, we can neglect the kinetic energy of the photon. Therefore, the recoil energy will be the kinetic energy of the nucleus, which can be calculated as:
KE = (1/2) * M * v^2
Therefore, the recoil energy will be option C) (hv)^2 / 2Mc^2. This calculation considers the recoil of the nucleus in the opposite direction upon emitting a photon of frequency v.
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A radioactive nucleus of mass M emits a photon of frequency v and the nucleus recoils. The recoil energy will be A) hv B) Mc^2 - hv C) (hv)^2 / 2Mc^2?
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A radioactive nucleus of mass M emits a photon of frequency v and the nucleus recoils. The recoil energy will be A) hv B) Mc^2 - hv C) (hv)^2 / 2Mc^2? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A radioactive nucleus of mass M emits a photon of frequency v and the nucleus recoils. The recoil energy will be A) hv B) Mc^2 - hv C) (hv)^2 / 2Mc^2? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A radioactive nucleus of mass M emits a photon of frequency v and the nucleus recoils. The recoil energy will be A) hv B) Mc^2 - hv C) (hv)^2 / 2Mc^2?.
A radioactive nucleus of mass M emits a photon of frequency v and the nucleus recoils. The recoil energy will be A) hv B) Mc^2 - hv C) (hv)^2 / 2Mc^2? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A radioactive nucleus of mass M emits a photon of frequency v and the nucleus recoils. The recoil energy will be A) hv B) Mc^2 - hv C) (hv)^2 / 2Mc^2? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A radioactive nucleus of mass M emits a photon of frequency v and the nucleus recoils. The recoil energy will be A) hv B) Mc^2 - hv C) (hv)^2 / 2Mc^2?.
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