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A particle of charge equal to that of an...

A particle of charge equal to that of an electron - e, and mass in a clarcus orbita nucleus the charge` + 3E` (Take the mass of the nucleus to be infinite Assuming that the bohr model of the atom is applicable to this system
(i) Derve an expression for the radius of the bohr orbit
(ii) find the value of a which the radius is approtimated the same as that of the bohr orbit fo the hydrogen atome
(iii) find the wavelength of the radiation emitted when the mu- meson jump from the thiord orbit of the first orbit

Text Solution

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The correct Answer is:
A, B, D
Let in be the mass of electron , then the mass of mumeson is `208` m ` According to bohr 's postulate the angular momentum of mu- meson should be an intergral muliple of `h//2 pi`

`:. (208 m)nu r = (nh)/(2 pi) `
`:. nu = (nh)/(2 pi xx 208 m nu) = (nh)/(416 pi m r )` ...(i)
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