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Q 2578167906. (a) The Schrodinger wave equation for hydrogen atom is:

`ψ_(2s) = 1/(4(2π)^(1/2))(1/a_0)^(3/2)(2−r/a_0)e^(-r//2a_0)`

where `a_0` is Bohr's radius. Let the radial node in `2s` be at `r_0`. Then find `r` in terms of `a_0`

(b) A baseball having mass 100 g moves with velocity 100 m/s. Determine the value of wavelength of baseball.

(c) In the following nuclear reaction
`text()_92^(234)X underset(-6 beta) overset (-7 alpha) (->) Y`
determine atomic number and mass number of Y and identify it.

JEE 2004 Mains