Target Exam

CUET

Subject

Physics

Chapter

Dual Nature of Radiation and Matter

Question:

The slope of the cut off voltage versus frequency of incident light is found to be $4.12 \times 10^{-15} ~Vs$. The value of Planck's constant is:

Options:

equal to the slope

e times the slope of cut off voltage versus frequency

$e^2$ times the slope

(1/e) times the slope

Correct Answer:

e times the slope of cut off voltage versus frequency

Explanation:

The correct answer is Option (2) → e times the slope of cut off voltage versus frequency

According to photoelectric equation -

$eV_0=hv+\phi_{0}$

$V_0=\left(\frac{h}{e}\right)v+\phi_{0}$  ....(1)

and,

$y=mx+c$   ....(2)

On comparing (1) and (2)

$m=\frac{h}{e}$

$∴h=slope×e$