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Question

The radius of 1st orbit of H is y˚A, then De-Broglie wavelength in the 4th orbit of He+ is given by:
  1. 4πy ˚A
  2. 6πy ˚A
  3. 8πy ˚A
  4. 2πy ˚A

A
4πy ˚A
B
6πy ˚A
C
8πy ˚A
D
2πy ˚A
Solution
Verified by Toppr

rn=r1n2/z
for He+ fourth orbit
r4=r1×42/2=8r1=8y
We know mvr=nh/2π
substituting values
mv8y=4h/2π
h/mv=4πy=λ

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