Object O is moving with a velocity $$8\ m.s^{-1}$$ inside water and mirror is moving with a velocity $$6\ m.s^{-1}$$ of as shown in the figure. Then find the velocity of image formed by the plane mirror with respect to object in $$ (m.s^{-1}$$ )
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Ray Optics is one of the highest-scoring chapters in JEE Physics and a consistent source of questions in both JEE Main and JEE Advanced. It studies the behaviour of light as rays, covering reflection, refraction, lenses, mirrors, and optical instruments. Because most questions follow a clear formula-and-sign-convention approach, JEE Ray Optics questions are a dependable scoring area for well-prepared aspirants. This chapter covers reflection at plane and spherical mirrors, refraction at surfaces, total internal reflection, refraction through lenses and prisms, lens combinations, and optical instruments. JEE Main tests mirror and lens formulae directly, while JEE Advanced often combines multiple optical elements in a single problem. Practising topic-wise JEE Questions helps you apply the sign convention consistently and trace rays through complex systems with confidence.
Object O is moving with a velocity $$8\ m.s^{-1}$$ inside water and mirror is moving with a velocity $$6\ m.s^{-1}$$ of as shown in the figure. Then find the velocity of image formed by the plane mirror with respect to object in $$ (m.s^{-1}$$ )
The object is in water while the mirror is in air. Therefore, first convert the velocities into the same medium using the relative refractive index.
For water with respect to air, $$\mu_{rel}=\frac{\mu_o}{\mu_{observer}}=\frac{4/3}{1}=\frac{4}{3}$$
Hence, the apparent depth is $$d'=\frac{d}{\mu_{rel}}$$
Therefore, the apparent velocity of the object as seen from air is $$v_o'=\frac{8}{4/3}=6\,m\,s^{-1}$$
Equivalently, when we consider the mirror from the water side, its apparent velocity is obtained using the inverse relative refractive index: $$\mu_{rel}=\frac{1}{4/3}=\frac{3}{4}$$
Thus, $$v_m'=\frac{6}{3/4}=8\,m\,s^{-1}$$
Now both the object and mirror are considered in the same medium, and both have velocity $$v_o=v_m'=8\,m\,s^{-1}$$
For a plane mirror, $$v_i=2v_m-v_o$$
Therefore, $$v_i=2(8)-8$$
$$v_i=8\,m\,s^{-1}$$
Hence, the image and the object have the same velocity.
Therefore, the velocity of image with respect to object is $$v_{i/o}=v_i-v_o$$
$$v_{i/o}=8-8=0$$
Thus, $${0\,m\,s^{-1}}$$
Hence, the correct answer is 0.
Parameter | Details |
|---|---|
Topic Name | Ray Optics |
Subject | Physics |
JEE Main Weightage | ~4–6% (2 questions on average) |
JEE Advanced Weightage | ~5–7% (often in combined problems) |
Difficulty Level | Moderate |
Important Concepts | Reflection, Refraction, Mirrors, Lenses, Prisms, Total Internal Reflection, Optical Instruments |
Recommended Practice Level | High – attempt 70+ mixed problems |
Concept | Importance | Difficulty Level | Frequently Asked In |
|---|---|---|---|
Reflection & Spherical Mirrors | Very High | Moderate | JEE Main & Advanced |
Refraction at Plane & Spherical Surfaces | Very High | Moderate | JEE Main & Advanced |
Total Internal Reflection | High | Moderate | JEE Main |
Lenses & Lens Maker's Formula | Very High | Moderate–High | JEE Main & Advanced |
Lens & Mirror Combinations | High | High | JEE Advanced |
Prisms & Dispersion | High | Moderate | JEE Main |
Optical Instruments | Moderate | Moderate | JEE Main |
Concept learning: Master the sign convention before anything else, since every mirror and lens problem depends on it. Understand how images form through reflection and refraction and how to trace principal rays.
Formula revision: Keep mirror and lens formulae, magnification, lens maker's formula, refraction-at-spherical-surface relations, and prism formulae handy. Pairing this with structured JEE Online Coaching helps you reinforce ray tracing and clear doubts on multi-element systems.
Problem-solving techniques: For combinations, treat the image of one element as the object for the next, applying the sign convention consistently throughout. Use ray diagrams to verify the nature and position of images.
Common mistakes: Sign-convention errors, confusing real and virtual images, mishandling object distance in combinations, and forgetting to account for the medium in refraction problems.
Exam strategy: Attempt single-mirror and single-lens questions first, then move to combinations and instrument problems that require sequential analysis.
Exam | Average Questions | Expected Marks |
|---|---|---|
JEE Main | 2 | 8 |
JEE Advanced | 2–3 (often combined) | 8–14 |
Ray Optics is a consistently heavy chapter in JEE Main, with reliable mirror, lens, and prism questions. JEE Advanced tends to combine multiple optical elements into single multi-step problems.
Reinforcing these methods with a timed JEE Mock Test helps you trace rays through complex systems quickly and accurately.
They test concepts such as reflection, refraction, mirrors, lenses, prisms, optical instruments, and image formation in JEE Main and JEE Advanced.
Yes. Ray Optics is a high-weightage chapter and typically contributes around 1–2 questions in JEE Main.
Mirror and lens formulae, lens combinations, and prism-based problems are among the most frequently tested topics.
It is moderately difficult, as it requires a strong understanding of sign conventions, ray diagrams, and multi-step numerical calculations.
Typically 2–3 questions are asked, often involving combinations of mirrors, lenses, and prisms.
Solve topic-wise previous year questions, master ray diagrams, practise numerical problems regularly, and take timed mock tests.
Common errors include incorrect sign conventions, confusion between real and virtual images, and mistakes in image-distance calculations.
Yes. Ray diagrams are essential for visualising image formation and solving mirror, lens, and prism problems accurately.
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