1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# If the de-Broglie wavelength of the electron in nth Bohr orbit in a hydrogenic atom is equal to 1.5 a0 (a0 is Bohr radius), then the value of (nZ) is:

A
1.0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0.75
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
0.40
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1.0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B 0.75According to Bohr’s model of H-atom Number of waves=CircumferenceWavelength ⇒ n=2πr/λ ∴ 2πr=nλ n= principal quantum number λ = wavelength of electron ...(i) Also, we know that radius (r) of an atom is given by r=a0n2Z Thus, Eq. (i) becomes (2πa0n2Z)=nλ ...(ii) (2πa0n2Z) = n×1.5πa0 [Given, λ=n×1.5πa0] ⇒ nZ = 1.5πa02πa0 = 1.52 = 0.75

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Planck's Quantum Hypothesis
CHEMISTRY
Watch in App
Join BYJU'S Learning Program