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What is the de-Broglie wavelength associ...

What is the de-Broglie wavelength associated with the hydrogen electron in its third orbit

A

`9.96xx10^(-10)cm`

B

`9.96xx10^(-8)cm`

C

`9.96xx10^(4)cm`

D

`9.96xx10^(8)cm`

Text Solution

Verified by Experts

The correct Answer is:
B
Velocity of `e^(-)` in orbit = `V_(n)=2.188xx10^(6)(Z/m)ms^(-1)`
and `lamda=h/(mV)=(6.62xx10^(-34))/(9.1xx10^(-31)xx[(2.188xx10^(6))/3])` as n = 3
on solving `lamda=9.96xx10^(-8)cm=9.96xx10^(-10)m`.
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