A source of 30 watt illuminates the cathode of a photocell with radiat...
Umm!!! my answer is 1.6 ×10^-2. that is approx it is easy every information in this question given ok I tell you formula E/t(power) = N/t( number of photons per second). × hc/ lemda ok by this you can find number of photons per second .and now most important thought come every photons can remove single electron so number of photons/ sec = electron/ sec . now you also feel it is easy right? lol
A source of 30 watt illuminates the cathode of a photocell with radiat...
Saturation current in a photocell refers to the maximum current that can flow through the circuit when the photocell is illuminated with a high-intensity light source. To calculate the saturation current, we need to consider the power of the light source, the wavelength of the radiation, and the efficiency of the photoelectric emission.
Given:
- Power of the light source = 30 watts
- Wavelength of the radiation = 6600 angstroms
- Efficiency of photoelectric emission = 1%
Step 1: Convert Power to Energy
To calculate the saturation current, we need to determine the energy of the incident radiation. We can use the formula:
Energy = Power × Time
Since the power is given in watts and we want to calculate the energy in joules, we need to multiply the power by the time in seconds. However, the time is not provided in the given information. Therefore, we cannot directly calculate the energy.
Step 2: Convert Wavelength to Energy
We know that energy is inversely proportional to wavelength, so shorter wavelengths have higher energy. We can use the formula:
Energy = (hc) / λ
Where h is Planck's constant (6.626 × 10^-34 J·s), c is the speed of light (3 × 10^8 m/s), and λ is the wavelength in meters.
First, we need to convert the given wavelength from angstroms to meters:
1 angstrom = 1 × 10^-10 meters
Therefore, λ = 6600 × 10^-10 meters
Now we can calculate the energy using the formula above.
Step 3: Calculate Saturation Current
The saturation current can be calculated using the formula:
Saturation Current = (Energy × Efficiency) / (Charge of an Electron)
The charge of an electron is approximately 1.6 × 10^-19 Coulombs.
By substituting the calculated energy and the given efficiency into the formula, we can find the saturation current.
Summary:
To calculate the saturation current in a photocell, we need to convert the power of the light source to energy, convert the wavelength of the radiation to energy, and then apply the formula using the efficiency of photoelectric emission.
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