Modern Physics Ques 83

  1. For photo-electric effect with incident photon wavelength $\lambda$, the stopping potential is $V _0$. Identify the correct variation(s) of $V _0$ with $\lambda$ and $\frac{1}{\lambda}$.

(2015 Adv.)

(a)

(b)

(c)

(d)

Show Answer

Answer:

Correct Answer: 83.(a,c)

Solution:

Formula:

Photoelectric Effect

$ \begin{aligned} e V _0 & =\frac{h c}{\lambda}-W \\ V _0 & =(\frac{h c}{e} )(\frac{1}{\lambda})-\frac{W}{e} \end{aligned} $

$V _0$ versus $\frac{1}{\lambda}$ graph is in the form $y=m x-c$

Therefore option (c) is correct.

Clearly, $V _0$ versus $\lambda$ graph is not a straight line but $V _0$ decreases with increase in $\lambda$ and $V _0$ becomes zero when $\frac{h c}{\lambda}=W$.

$ \text { i.e. } $ $\quad \lambda=\lambda _0$

(Threshold wavelength)

$\therefore$ Option (a) is also correct.



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