Twinkling of stars is due to atmospheric
refraction of light by different layers of varying refractive indices
The twinkling effect observed when we look at stars is a common phenomenon. It's fascinating to understand the scientific reason behind this.
Stars are very distant point sources of light. As the light from these distant stars travels towards Earth, it passes through the Earth's atmosphere. The Earth's atmosphere is not uniform; it is composed of different layers of air, and these layers have varying densities and temperatures. Because density and temperature affect the refractive index of air, different layers of the atmosphere have different refractive indices.
When starlight enters the Earth's atmosphere, it undergoes continuous refraction. This refraction occurs because the light passes from one layer of air to another, each with a slightly different refractive index. The path of the starlight keeps changing slightly as it passes through these turbulent layers of air with fluctuating refractive indices. This bending of light is called atmospheric refraction.
Due to atmospheric refraction, the apparent position of the star as seen from Earth is not fixed. It keeps changing slightly and rapidly over time. Also, the amount of starlight reaching our eyes flickers as the path of light changes. This continuous change in the apparent position and brightness of the star is what we perceive as twinkling.
Therefore, the twinkling of stars is primarily due to the atmospheric refraction of starlight by different layers of air with varying refractive indices.
A convex lens of focal length f will form a magnified real image of an object, if the object is placed.
A ray of light travelling in the direction \(\frac{1}{2} (\hat i + \sqrt 3 \hat j)\) is incident on a plane mirror. After reflection it travels along the direction \(\frac{1}{2} (\hat i - \sqrt 3 \hat j)\) The angle of incidence is:
An optical fibre has a core material of refractive index of 1.55 and cladding material of refractive index of 1.50. The numerical aperture of the fibre is
An object is placed on the principal axis of a convex lens at a point between F 1 and 2 F 1 (F 1 is the principal focus to the left of the lens). The image formed is: