Dual Nature Of Radiation And Matter Ques 37

37. The potential difference that must be applied to stop the fastest photoelectrons emitted by a nickel surface, having work function $5.01$ $ eV$, when ultraviolet light of $200$ $ nm$ falls on it, must be:

[2010]

(a) $2.4 $ $V$

(b) $-1.2 $ $V$

(c) $-2.4 $ $V$

(d) $1.2 $ $V$

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Answer:

Correct Answer: 37.(b)

Solution:

  1. (b) $K _{\max }=\frac{h c}{\lambda}-W=\frac{h c}{\lambda}-5.01$

$=\frac{12375}{\lambda(\text{ in } \AA)}-5.01$

$=\frac{12375}{2000}-5.01=6.1875-5.01=1.17775$

$\simeq 1.2 $ $V$

The potential difference that must be applied to stop photoelectrons $=-1.2$ $ V$