Download JEE MCQs for JEE Physics: Ray Optics and Optical Instruments
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Chapter-wise Objective Questions: Ray Optics and Optical Instruments
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Multiple Choice Questions
(a) 30°
(b) 45°
(c) 15°
(d) 60°
Show Answer & Explanation
Answer: (b) 45°
Explanation:
1. i = (A + D)/2 = (60° + 30°)/2 = 45°.
Teacher's Note:
1. Recall the basic fact.
(a) I and II
(b) I and III
(c) II and III
(d) II and IV
Show Answer & Explanation
Answer: (b) I and III
Explanation:
1. The normal is perpendicular to the tangent, which is the line from the centre of curvature to the point of incidence.
2. The line joining the centre of curvature to the pole is the principal axis, not the normal at a general point.
Teacher's Note:
1. Recall the basic fact.
(a) I only
(b) II only
(c) I and III
(d) I and II
Show Answer & Explanation
Answer: (d) I and II
Explanation:
1. A convex mirror gives a virtual, erect, diminished image between the pole and the focus.
Teacher's Note:
1. Recall the basic fact.
(a) emerge into the air without any deviation
(b) be reflected back into the glass
(c) be absorbed
(d) emerge into the air with an angle of refraction equal to 90°
Show Answer & Explanation
Answer: (d) emerge into the air with an angle of refraction equal to 90°
Explanation:
1. sin c = 1/√2, so the critical angle is 45°.
2. At exactly the critical angle the refracted ray grazes the surface (refraction angle 90°).
Teacher's Note:
1. Recall the basic fact.
(a) i1 = i2
(b) i1 > i2
(c) i1 < i2
(d) i1 + i2 = 90°
Show Answer & Explanation
Answer: (a) i1 = i2
Explanation:
1. At minimum deviation the ray passes symmetrically, so i = e.
Teacher's Note:
1. Recall the basic fact.
(a) -25 cm
(b) -50 cm
(c) 50 cm
(d) -20 cm
Show Answer & Explanation
Answer: (b) -50 cm
Explanation:
1. The power of the system is the sum of surface powers (n2 - n1)/R.
2. Plane faces give 0.
3. Glass-to-oil at the first curved surface (R = -20): (1.7 - 1.5)/(-20) = -0.01.
4. Oil-to-glass at the second (R = +20): (1.5 - 1.7)/20 = -0.01.
5. P = -0.02 cm⁻¹, so f = -50 cm.
Teacher's Note:
1. Recall the basic fact.
| Column I | Column II |
|---|---|
| (A) An object placed at the focus before a convex mirror | (1) Magnification is +0.5 |
| (B) An object placed at the centre of curvature before a concave mirror | (2) Magnification is +1 |
| (C) An object placed at the focus before a concave mirror | (3) Magnification is -infinity |
| (D) An object placed at the centre of curvature before a convex mirror | (4) Magnification is -1 |
| (5) Magnification is +0.33 |
(a) A-1, B-3, C-4, D-5
(b) A-4, B-1, C-3, D-5
(c) A-1, B-4, C-3, D-5
(d) A-1, B-5, C-3, D-4
Show Answer & Explanation
Answer: (c) A-1, B-4, C-3, D-5
Explanation:
1. Convex mirror, object at f: v = f/2 and m = +0.5 (A-1).
2. Concave mirror, object at C: m = -1 (B-4).
3. Concave mirror, object at f: image at infinity (C-3).
4. Convex mirror, object at 2f: v = 2f/3 and m = +0.33 (D-5).
Teacher's Note:
1. Use 1/v + 1/u = 1/f.
(a) Myopia - concave lens
(b) For rear view - concave mirror
(c) Hypermetropia - convex lens
(d) Astigmatism - cylindrical lens
Show Answer & Explanation
Answer: (b) For rear view - concave mirror
Explanation:
1. A rear-view mirror is a convex mirror.
Teacher's Note:
1. Recall the basic fact.
(a) 18 cm, 2 cm
(b) 11 cm, 9 cm
(c) 10 cm, 10 cm
(d) 15 cm, 5 cm
Show Answer & Explanation
Answer: (a) 18 cm, 2 cm
Explanation:
1. f_o/f_e = 9 and f_o + f_e = 20, so f_e = 2 cm and f_o = 18 cm.
Teacher's Note:
1. Recall the basic fact.
(a) 5 cm
(b) 0.5 m
(c) 5 m
(d) 5 mm
Show Answer & Explanation
Answer: (d) 5 mm
Explanation:
1. Δθ = 1.22 λ/D = 1.22 × 5 × 10⁻⁷/0.1 = 6.1 × 10⁻⁶ rad.
2. Separation = 1000 × 6.1 × 10⁻⁶ = 6.1 mm, of the order of 5 mm.
Teacher's Note:
1. Recall the basic fact.
(a) \( v(1-\cos\theta) \)
(b) \( v/\sin\theta \)
(c) \( v/\cos\theta \)
(d) \( v\cos\theta \)
Show Answer & Explanation
Answer: (b) \( v/\sin\theta \)
Explanation:
1. sin θ = n_Y/n_X = v_X/v_Y, so v_Y = v/sin θ.
Teacher's Note:
1. Recall the basic fact.
(a) a cylindrical lens
(b) a plano-convex lens
(c) a plano-concave lens
(d) a convex lens
Show Answer & Explanation
Answer: (a) a cylindrical lens
Explanation:
1. A cylindrical lens corrects the different curvatures in different planes of the eye.
Teacher's Note:
1. Recall the basic fact.
(a) f_V > f_R
(b) f_V = f_R
(c) f_V < f_R
(d) any of the three is possible depending on the average refractive index
Show Answer & Explanation
Answer: (c) f_V < f_R
Explanation:
1. Violet has the larger μ, so it is bent more and has the smaller focal length.
Teacher's Note:
1. Recall the basic fact.
(a) \( \frac{x(\mu_1+\mu_2)}{2\mu_1\mu_2} \)
(b) \( \frac{x\mu_1\mu_2}{2(\mu_1+\mu_2)} \)
(c) \( \frac{x\mu_1\mu_2}{\mu_1+\mu_2} \)
(d) \( \frac{2x(\mu_1+\mu_2)}{\mu_1\mu_2} \)
Show Answer & Explanation
Answer: (a) \( \frac{x(\mu_1+\mu_2)}{2\mu_1\mu_2} \)
Explanation:
1. Apparent depth = (x/2)/μ1 + (x/2)/μ2 = x(μ1 + μ2)/(2μ1μ2).
Teacher's Note:
1. Recall the basic fact.
(a) I, II and III
(b) II, III and IV
(c) I, II and IV
(d) I, III and IV
Show Answer & Explanation
Answer: (c) I, II and IV
Explanation:
1. The ratio is the relative index n21, constant for the pair (and temperature dependent).
2. It is the absolute index only if medium 1 is vacuum, so III is not generally true.
Teacher's Note:
1. Recall the basic fact.
(a) 100 nm to 400 nm
(b) 400 nm to 750 nm
(c) 750 nm to 10 nm
(d) 1000 nm to 1400 nm
Show Answer & Explanation
Answer: (b) 400 nm to 750 nm
Explanation:
1. Visible light spans about 400 nm to 750 nm.
Teacher's Note:
1. Recall the basic fact.
(a) marginal rays
(b) central rays
(c) difference in radii of curvature of its surfaces
(d) variation of focal length of the lens with colour
Show Answer & Explanation
Answer: (d) variation of focal length of the lens with colour
Explanation:
1. μ varies with wavelength, so f varies with colour.
Teacher's Note:
1. Recall the basic fact.
(a) reflection of light
(b) refraction of light
(c) dispersion of light
(d) interference of light
Show Answer & Explanation
Answer: (a) reflection of light
Explanation:
1. That is the definition of reflection.
Teacher's Note:
1. Recall the basic fact.
(a) light goes from an optically rarer medium to an optically denser medium
(b) light goes from an optically denser medium to a rarer medium
(c) the refractive indices of the two media are close to each other
(d) the refractive indices of the two media are widely different
Show Answer & Explanation
Answer: (b) light goes from an optically denser medium to a rarer medium
Explanation:
1. TIR needs light going from a denser to a rarer medium with the angle of incidence above the critical angle.
Teacher's Note:
1. Recall the basic fact.
Assertion (A): The focal length of a convex mirror will increase if the mirror is placed in water.
Reason (R): The focal length of a convex mirror of radius R is equal to f = R/2.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (d) A is false, but R is true.
Explanation:
1. The focal length of a mirror depends only on its radius of curvature, not on the medium, so the assertion is false.
2. The reason is true.
Teacher's Note:
1. Compare the two statements.
(a) increase in focal length of the eyepiece
(b) increase in focal length of the objective
(c) increase in aperture of the eyepiece
(d) increase in aperture of the objective
Show Answer & Explanation
Answer: (d) increase in aperture of the objective
Explanation:
1. R = D/(1.22λ), so it grows with the aperture of the objective.
Teacher's Note:
1. Recall the basic fact.
(a) the emergent ray is deviated by 30°
(b) the emergent ray is deviated by 60°
(c) the emergent ray just grazes the second refracting surface
(d) the ray undergoes total internal reflection at the second refracting surface
Show Answer & Explanation
Answer: (d) the ray undergoes total internal reflection at the second refracting surface
Explanation:
1. The angle of incidence at the second face is A = 60°.
2. The critical angle is sin⁻¹(1/1.5) = 41.8°, which is less than 60°, so the ray is totally internally reflected.
Teacher's Note:
1. Recall the basic fact.
Assertion (A): The image formed by a concave mirror is certainly real if the object is virtual.
Reason (R): The image formed by a concave mirror is certainly virtual if the object is real.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (c) A is true, but R is false.
Explanation:
1. A virtual object (converging rays) always gives a real image with a concave mirror, so the assertion is true.
2. A real object can give a real or a virtual image, so the reason is false.
Teacher's Note:
1. Compare the two statements.
(a) 16 : 25
(b) 9 : 1
(c) 4 : 5
(d) 5 : 4
Show Answer & Explanation
Answer: (d) 5 : 4
Explanation:
1. Resolving power is proportional to 1/λ, so the ratio is 5000/4000 = 5 : 4.
Teacher's Note:
1. Recall the basic fact.
(a) increases
(b) decreases
(c) does not change
(d) may increase or decrease depending on whether the angle of the prism is less than or greater than 60°
Show Answer & Explanation
Answer: (b) decreases
Explanation:
1. ω = (μ_v - μ_r)/(μ_y - 1) with relative indices decreasing in water, so the dispersive power is lower.
Teacher's Note:
1. Recall the basic fact.
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Multiple Choice Questions (MCQs) for JEE Physics Ray Optics and Optical Instruments
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FAQs
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