In a photoelectric effect experiment, ultraviolet light of wavelength ...
We know :
eV =(hc/ lambda ) - work function
here , h =6.63× 10^(-34) ,c = 3×10^8, lambda =320×10^(-9) and work function= 2.1eV=2.1×1.6×10^(-19).
On substituting these values in above equation you get answer. option a.
In a photoelectric effect experiment, ultraviolet light of wavelength ...
Photoelectric effect
The photoelectric effect is the phenomenon where electrons are emitted from a material when light of a certain frequency or higher (i.e., ultraviolet light or higher energy photons) is incident on it. This effect can be explained using the concept of photons and the energy required to free an electron from the material.
Work function
The work function of a material is the minimum amount of energy required to remove an electron from the material. It is typically given in electron volts (eV). In this case, the work function of the photocathode is given as 2.1 eV.
Stopping potential
The stopping potential is the potential difference required to stop the emitted electrons from reaching the anode. When the stopping potential is applied, the electrons lose all their kinetic energy and come to a stop.
Calculating the stopping potential
To calculate the stopping potential, we need to consider the energy of the incident photons and the work function of the photocathode.
The energy of a photon can be calculated using the equation: E = hc/λ, where E is the energy in joules, h is the Planck's constant (6.63 x 10^-34 J*s), c is the speed of light (3 x 10^8 m/s), and λ is the wavelength of light in meters.
Converting the given wavelength of 320 nm to meters: λ = 320 nm = 320 x 10^-9 m.
Plugging the values into the equation: E = (6.63 x 10^-34 J*s * 3 x 10^8 m/s) / (320 x 10^-9 m) = 6.20 x 10^-19 J.
Next, we need to convert the energy from joules to electron volts (eV). 1 eV is equivalent to 1.6 x 10^-19 J.
Converting the energy to eV: E = (6.20 x 10^-19 J) / (1.6 x 10^-19 J/eV) = 3.88 eV.
Now, to calculate the stopping potential, we subtract the work function from the energy of the incident photons: Stopping potential = Energy - Work function = 3.88 eV - 2.1 eV = 1.78 eV.
Conclusion
The calculated stopping potential is 1.78 eV, which is closest to the given option 'A' of 1.8 V. Therefore, the correct answer is option 'A' - 1.8 V.