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. $\varphi$
• 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 $\text{=}\frac{\text{h}}{\text{e}}$