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  4. A ray of light originates from inside a glass slab and is incident on its inner surface at an angle θ as shown below. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/f2001b835df53a3c2e1e980517eadfa6-.jpeg /> In this experiment, the location x of the spot where the ray hits the screen is recorded. Which of the following correctly shows the plot of variation of x with the angle θ ? <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/ea7e0cb50db5071eccb73b2032af442c-.jpeg />

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Q. A ray of light originates from inside a glass slab and is incident on its inner surface at an angle $\theta$ as shown below.
image
In this experiment, the location x of the spot where the ray hits the screen is recorded. Which of the following correctly shows the plot of variation of $x$ with the angle $\theta$ ?
image

KVPYKVPY 2017Ray Optics and Optical Instruments

Solution:

As $\theta$ increases, angle of incidence $(j = 90 - \theta)$ decreases. Initially upto $i = i_{c}$ angle of critical incidence, reflection takes place and x is positive. Also, x increases till $\theta$ is such that $i = i_{c},$ after that refraction takes place and x becomes negative
image