1.0
0.75
0.40
1.50
According to de-Broglie's hypothesis
2πr = nλ ⇒ 2π × a₀ = nλ
Given that λ = 1.5πa₀
Substituting this value in the above equation,
2πa₀ = n(1.5πa₀)
2πa₀ = 1.5nπa₀
n = 2/1.5 = 4/3
For hydrogenic atom, r = a₀n²/z
2π(a₀n²/z) = nλ
2π(a₀n²/z) = n(1.5πa₀)
2n/z = 1.5
n/z = 1.5/2 = 0.75
So, the correct option is B