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Grade: 12th Pass

                        

In H-atom,if x is the radius of first Bohr orbit, de Broglie wavelength of an electron in the 3rd orbit is??

3 years ago

Answers : (1)

Shobhit
3 Points
							For a hydrogen atom, radius of nth orbit, rn = n2h2/ 4π2mZe2    Therefore, r1/r3 = 12/32   r3 = 9/r1  = 9/xNow, according to De Broglie; angular momentum of electron in 3rd orbit is:mvr3 = 3h/2π   or  h/mv = 2πr3/3Andλ = h/mv   where, λ is the de Broglie wavelength.Therefore,λ = 2πr3/3  = 2π x 9/3x  = 6πx
						
3 years ago
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