For light diverging from of finite point source
For light diverging from a finite point source:
The wave front is spherical, not parabolic. When light spreads out from a point source, it forms concentric spherical wave fronts around the source.
The wave front appears cylindrical only in the far-field (Fraunhofer) region, where the distance from the source is significantly greater than the source's dimensions.
The claim that intensity at the wave front remains unchanged with distance is incorrect. As light propagates outward, its intensity decreases due to the spreading of light over a larger area.
The intensity decreases in proportion to the square of the distance. This follows the inverse-square law, meaning the intensity III is inversely proportional to the square of the distance rrr from the source:
\(I \propto \frac{1}{r^2}\)
Thus, the correct statement for light diverging from a finite point source is:
"The intensity decreases in proportion to the distance squared."
The inverse square law of light propagation states that the intensity of light decreases in proportion to the square of the distance from the source. This means that as light spreads out from a point source, its intensity (or brightness) diminishes with the square of the distance from the source. Therefore, the correct statement is:
(D) The intensity decreases in proportion to the distance squared.
A current element X is connected across an AC source of emf \(V = V_0\ sin\ 2πνt\). It is found that the voltage leads the current in phase by \(\frac{π}{ 2}\) radian. If element X was replaced by element Y, the voltage lags behind the current in phase by \(\frac{π}{ 2}\) radian.
(I) Identify elements X and Y by drawing phasor diagrams.
(II) Obtain the condition of resonance when both elements X and Y are connected in series to the source and obtain expression for resonant frequency. What is the impedance value in this case?
Optics, deals with the determination of behaviour and the properties of light, along with its interactions with the matter and also with the instruments that are used to detect it.
Ray optics is also known as the geometrical optics and it is a branch of science which describes light propagation.
Reflection is the change in direction of light at an interface in-between two different media so that the wave-front returns into a medium from which it was originated.
Speed of light is the rate at which the light travels in free space.
A phenomenal change in image formed when the light is passed from one medium to another which is called Refraction.
Total Internal Reflection is the reflection of light when the light ray enters into a rarer medium from a denser medium and the angle of incidence is higher than the critical angle of incidence then that light ray will be reflected back to the denser medium.
Read More: Ray Optics and Optical Instruments