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Explanation:
(A) Uncertainty of an object:
According to Heisenberg's uncertainity principle:
Δx.Δp=
4π
h
Δx.Δ(mv)=
4π
h
Δx.Δv=
4πm
h
=(ii)
(B) Bohr's radius of an orbit, r
n
=
Z
5.29×n
2
=(i)
where, n=n
th
orbit, Z=atomic number
(C) Angular momentum of an electron is given by Bohr's theory as:
Thus an electron can move only in those orbits for which its angular momentum is integral multiple of
2π
h
that is why only certain fixed orbits are allowed.
mvr=
2π
nh
=(iv)
(D) According to de Broglie's equation
λ=
mv
h
=(iii)
where, λ= de-Broglie wavelength
(A)-(ii),(B)-(i),(C)-(iv),(D)-(iii)
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