Question

In case of photoelectric effect, slope of $\text{V}_{\text{0}}$ vs $\text{ν}$ curve is (where $\text{V}_{\text{0}}$ - stopping potential, $\text{ν} \, \text{=}$ subjected frequency)

• A. $\text{e}$
• B. $\frac{\text{h}}{\text{e}}$
• C. $\phi$
• D. $\text{h}$

Answer 1

Answer: (B)

$\text{ω} \, \text{=} \, \text{ω}_{\text{0}} \, \text{+} \, \text{eV}_{\text{0}}$ ...(1)

$\text{ω} =$ work function

$\text{ω}_{\text{0}} \, \text{=}$ threshold energy

$\text{hν} \, \text{=} \, \text{hν}_{\text{0}} \, \text{+} \, \text{eV}_{\text{0}}$

$\text{V}_{\text{0}} \, \text{=} \, \frac{\text{hν}_{\text{0}}}{\text{e}} - \frac{\text{hν}_{\text{0}}}{\text{e}}$ ...(2)

$\text{ν} \, \text{=}$ subjected frequency

$\text{ν}_{\text{0}} \, \text{=}$ threshold frequency

Comparing equation $\text{(2)}$ with straight line equation:

$\text{y} \, \text{=} \, \text{mx} \, \text{+} \, \text{c}$

Slope of $\nu_{0}$ v/s $\nu$ curve $\text{=} \frac{\text{h}}{\text{e}}$