If maximum velocity with which an electron can be emitted from a photo cell is 4 × 108 cm/s, the stopping potential is (mass of electron = 9 × 10–31 kg)
Question
If maximum velocity with which an electron can be emitted from a photo cell is 4 × 108 cm/s, the stopping potential is (mass of electron = 9 × 10–31 kg)
Solution
To find the stopping potential, we can use the equation:
eV = 1/2 mv^2
where e is the charge of an electron (1.6 × 10^-19 C), V is the stopping potential, m is the mass of the electron (9 × 10^-31 kg), and v is the maximum velocity of the electron (4 × 10^8 cm/s).
First, let's convert the maximum velocity from cm/s to m/s:
v = 4 × 10^8 cm/s = 4 × 10^6 m/s
Now we can substitute the values into the equation:
(1.6 × 10^-19 C) V = 1/2 (9 × 10^-31 kg) (4 × 10^6 m/s)^2
Simplifying the equation:
V = (1/2) (9 × 10^-31 kg) (4 × 10^6 m/s)^2 / (1.6 × 10^-19 C)
V = (1/2) (9 × 10^-31 kg) (16 × 10^12 m^2/s^2) / (1.6 × 10^-19 C)
V = (1/2) (9 × 16) × (10^-31 kg) (10^12 m^2/s^2) / (1.6 × 10^-19 C)
V = (1/2) (144) × (10^-19 kg m^2/s^2) / (1.6 × 10^-19 C)
V = 72 × (10^-19 kg m^2/s^2) / (1.6 × 10^-19 C)
V = 45 × 10^-19 kg m^2/s^2 / C
V = 45 × 10^-19 V
Therefore, the stopping potential is 45 × 10^-19 volts.
Similar Questions
The maximum kinetic energy of photoelectrons emitted from a surface when photons of energy 6 eV fall on it is 4 eV. The stopping potential in volts is :
From the photoelectric effect experiment, following observations are made. Identify which of these are correctA. The stopping potential depends only on the work function of the metal.B. The saturation current increases as the intensity of incident light increases.C. The maximum kinetic energy of a photo electron depends on the intensity of the incident light.D. Photoelectric effect can be explained using wave theory of light.Choose the correct answer from the options given below:B, C onlyA, C, D onlyB onlyA, B, D only
The electron in the hydrogen atom jumps from excited state (n=3) to its ground state (n=1) and the photons thus emitted irradiate a photosensitive material. If the work function of the material is 5.1eV, the stopping potential is estimated to be
Consider an electron ejected from a metal in a photoelectric effect experiment with a kinetic energy of 6.4e−196.4𝑒−19 J. For this electron, what stopping potential (in Volts) is required to prevent it from being detected as part of the current in the experiment? (Please give your answer to two decimal places
When light falls on a metal surface, the maximum kinetic energy of the emitted photo-electrons depends upon :-
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.