Light incident normally on a plane mirror attached to a galvanometer coil retraces backwards as shown in Fig. 9.29. A current in the coil produces a deflection of 3.5o of the mirror. What is the displacement of the reflected spot of light on a screen placed 1.5 m away?
Angle of deflection, θ = 3.5° Distance of the screen from the mirror, D = 1.5m The reflected rays get deflected by an amount twice the angle of deflection i.e., 2θ = 7.0° The displacement (d) of the reflected spot of light on the screen is given as : \(tan2θ = \frac{d }{ 1.5}\)
\(∴ d = 1.5 × tan7° = 0.184m = 18.4cm.\)
Hence, the displacement of the reflected spot of light is 18.4 cm.
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Top Questions on Ray optics and optical instruments
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.
