Consider the following statements:
A. The junction area of a solar cell is made very narrow compared to a photodiode.
B. Solar cells are not connected with any external bias.
C. LED is made of lightly doped p-n junction.
D. Increase of forward current results in a continuous increase in LED light intensity.
E. LEDs have to be connected in forward bias for emission of light.
Let's analyze each statement:
The junction area of a solar cell is made very narrow compared to a photodiode.
This statement is incorrect. Solar cells generally have a larger junction area than photodiodes to capture more sunlight. The increased junction area allows the solar cell to absorb more light and generate more electricity.
Solar cells are not connected with any external bias.
This statement is correct. Solar cells generate their own voltage and current when exposed to light, so they do not require an external bias. The energy from the sunlight is converted directly into electrical energy by the photovoltaic effect.
LED is made of a lightly doped p-n junction.
This statement is incorrect. LEDs are made of heavily doped p-n junctions to enhance radiative recombination. The heavy doping allows for efficient electron-hole recombination, which results in the emission of light.
Increase of forward current results in a continuous increase of LED light intensity.
This statement is incorrect. The light intensity of an LED increases with forward current up to a certain point. After that point, the intensity may saturate or even decrease due to heating effects and the LED’s characteristic behavior.
LEDs have to be connected in forward bias for emission of light.
This statement is correct. LEDs emit light when connected in forward bias because electrons and holes recombine in the depletion region, releasing energy as photons (light).
The correct statements are B and E. Therefore, the correct answer is \( \boxed{4} \) (B, E Only).
The largest $ n \in \mathbb{N} $ such that $ 3^n $ divides 50! is:
The term independent of $ x $ in the expansion of $$ \left( \frac{x + 1}{x^{3/2} + 1 - \sqrt{x}} \cdot \frac{x + 1}{x - \sqrt{x}} \right)^{10} $$ for $ x>1 $ is: