1.

Calculate oxidation number of oxygen in H_(2)O_(2) (ii) Write the de-Broglle equation .

Answer»

Solution :`H_(2)O_(2):`
`H_(2)ulO_(2)`
`2(+1) + 2x =0`
`2+2x =0`
`2x =-2`
x=1
Thereforeoxidation number of `O` in `H_(2)O_(2)` is -1
(ii) 1. Louis de Broglie extended the concept of dual nature oflight to all forms of matter. To QUANTIFY this relation, he derived an equation for the wavelength of a matter wave. 2. He combined the following two equations of energy of which ONE represents wave character (hu) and the other represents the particle nature `(mc^2)` . Planck.s quantum hypothesis:.
E = hv .............. (1) Einsteins MASS-energy relationship
`E=mc^2` ......... (2)
From (1) and (2)
`hv=mc^2`
`hc/lambda = mc^2`
`thereforelambda = h/mc ....... (3)`
The equation (3) represents the wavelength of photons whose momentum is given by me. (Photons have zero rest mass).
For a particle of matter with mass m and moving with a velocity v, the equation (3) can be written as `lambda = h/mV` ......... (4)


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