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The radiation corresponding to 3 to 2 tr...

The radiation corresponding to `3 to 2` transition of hydrogen atom falls on a metal surface to produce photoelectron . These electrons are made to enter a magnetic field of `3xx10^(-4)` T. if the radius of the largest circular path followed by these electrons in 10/0 mm, the work function of the metal is close to

A

1.6 eV

B

1.8 eV

C

1.1 eV

D

0.8 eV

Text Solution

Verified by Experts

The correct Answer is:
C
kinetic energy of electron ,
`E_k =(q^2B^2R^2)/(2m)`
`=((1.6xx10^(-19))^2xx (3xx10^(-4))^2xx(10xx10^(-3))^2)/(2xx9.1xx10^(-31)xx1.6xx10^(-19))=0.79 eV`
For transition of electron from energy state 3 to 2,
`E=13.6(1/2^2-1/3^2)=(13.6xx5)/(36)=1.88eV`
According to Einstein's photoelectric equantion,
`E=E_k+W_0`
or, `W_0=E-E_k=1.88-0.79~~1.1 eV`
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