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An imaginary particle has a charge equa...

An imaginary particle has a charge equal to that of an electron and mass 100 times tha mass of the electron. It moves in a circular orbit around a nucleus of charge + 4 e. Take the mass of the nucleus to be infinite. Assuming that the Bhor model is applicable to this system. (a)Derive an experssion for the radius of nth Bhor orbit. (b) Find the wavelength of the radiation emitted when the particle jumps from fourth orbit to the second orbit.

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To solve the given problem, we will break it down into two parts as specified in the question. ### Part (a): Deriving the Expression for the Radius of nth Bohr Orbit 1. **Understanding the System**: - The particle has a charge equal to that of an electron, which is \( q = -e \). - The mass of the particle is \( m = 100 m_e \) where \( m_e \) is the mass of the electron. - The nucleus has a charge of \( +4e \). ...
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