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The radiation corresponding to 3 rarr 2...

The radiation corresponding to ` 3 rarr 2` transition of hydrogen atom falls on a metal surface to produce photoelectrons . These electrons are made to enter circuit a magnetic field `3 xx 10^(-4) T` if the ratio of the largest circular path follow by these electron is `10.0 mm , the work function of the metal is close to

A

1.8 eV

B

1.1 eV

C

0.8 eV

D

1.6 eV

Text Solution

Verified by Experts

The correct Answer is:
B
Radius of circular path
`r=(mv)/(qB) =(sqrt(2meV))/(qB) =1/B sqrt((2m)/e)V`
` :. V = (B^(2)r^(2)e)/(2m) = 0.8 V " " (" where m " = 9.1 xx 10^(-31)kg)`
`E = 13.6 (1/4 -1/9)=1.88` eV
`phi_(0)=1.88 -0.8 approx 1.1 `eV
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