When an object moves towards a converging lens at a uniform speed, the image formed will change in a way that depends on the position of the object relative to the focus. As the object approaches the focus, the image initially moves towards the lens at a higher speed, but as the object nears the focus, the rate of change of the image's position decreases. The image accelerates away from the lens, but the acceleration is not uniform due to the changing relative speed as the object gets closer to the focus.
Thus, the image moves away from the lens with a non-uniform acceleration.
Therefore, the correct answer is (C).
When an object approaches a converging lens, the image behaves in a certain way according to the lens formula: \[ \frac{1}{f} = \frac{1}{v} - \frac{1}{u} \] where:
\( f \) is the focal length of the lens,
\( v \) is the image distance,
\( u \) is the object distance.
As the object moves towards the lens with a uniform speed of 5 m/s, the object distance \( u \) decreases. This results in a change in the image distance \( v \), but the change is not uniform.
The image formed by a converging lens moves away from the lens as the object approaches it.
As the object nears the focal point, the image distance \( v \) increases, but at a decreasing rate due to the curvature of the lens and the change in the object distance. This results in a non-uniform acceleration of the image.
Thus, the image moves away from the lens with non-uniform acceleration as the object approaches the focus.
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