0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

The stopping potential $$V_0$$ (in volt) as a function of frequency $$(v)$$ for a sodium emitter, is shown in the figure. The work function of sodium, from the data plotted in the figure, will be :
(Given : Planck's constant $$(h) = 6.63 \times 10^{-34} Js$$, electron charge $$e = 1.6 \times 10^{-19} C$$)

A
$$1.95\ eV$$
B
$$1.82\ eV$$
C
$$1.66\ eV$$
D
$$2.12\ eV$$
Solution
Verified by Toppr

Correct option is C. $$1.66\ eV$$
$$hv = \phi + ev_0$$
$$v_0 = \dfrac{hv}{e} - \dfrac{\phi}{e}$$
$$v_0$$ is zero fro $$v = 4\times 10^{14}Hz$$
$$0 = \dfrac{hv}{e} - \dfrac{\phi}{e} \Rightarrow \phi = hv$$
$$= \dfrac{6.63 \times 10^{-34} \times 4 \times 10^{14}}{1.6 \times 10^{-19}} = 1.66 eV$$.

Was this answer helpful?
12
Similar Questions
Q1
The stopping potential $$V_0$$ (in volt) as a function of frequency $$(v)$$ for a sodium emitter, is shown in the figure. The work function of sodium, from the data plotted in the figure, will be :
(Given : Planck's constant $$(h) = 6.63 \times 10^{-34} Js$$, electron charge $$e = 1.6 \times 10^{-19} C$$)

View Solution
Q2
The stopping potential V0 (in volts) as a function of frequency (ν) for a sodium emitter, is shown in the figure. The work function of sodium, from the data given in the plot will be : (Given :Planck's constant h=6.63×1034 Jscharge of an electron |e|=1.6×1019 C)



View Solution
Q3
In a photocell circuit the stopping potential, v0 , is a measure of the maximum kinetic energy of the photoelectrons. The following graph shows experimentally measured values of stopping potential versus frequency v of incident light.
The values of Planck's constant and the work function as determined from the graph are (taking the magnitude of electronic charge to be e=1.6×1019C )
631426_571d869f946c4cc3a5363461f38d4c62.png
View Solution
Q4
The photoelectric work function for a metal is 4.2eV. If the stopping potential is 3V, find the threshold wavelength and maximum kinetic energy of emitted electrons.
(Velocity of light in air =3×108m/s, Planck's constant =6.63×1034Js, Charge on electron =1.6×1019C)
View Solution
Q5
In an experiment on photoelectric emission from a metallic surface, wavelength of incident light is 2×107 m and stopping potential is 2.5 V. The threshold frequency of the metal is approximately (Change of electron e=1.6×1019 C, Planck's constant h=6.6×1034 Js)
View Solution