Spherical refracting surfaces. An object O stands on the central axis of a spherical refracting surface. For this situation (see the table below, all distances are in centimeters), n1 is the index of refraction where the object is located, nɔ is the index of refraction on the other side of the refracting surface. Find (a) the object distance p and determine whether the image is (b) real or virtual and (c) on the same side of the surface as object O or on the opposite side. (a) (b) (c) n1 n2 R/V Side 1.8 1.1 -28 -6.5 em (a) Number Units em (b) lem (c) lem the tolerance is +/-5% plem
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- Chapter 34, Problem 013 Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is ps = +15 cm, the type of mirror is concave, and then the distance between the focal point and the mirror is 26 cm (without proper sign). Find (a) the radius of curvature r (including sign), (b) the image distance i, and (c) the lateral magnification m. Also, determine whether the image is (d) real or virtual, (e) inverted from object O or noninverted, and (f) on the same side of the mirror as O or on the opposite side. (a) Number Units (b) Number Units (c) Number Units (d) (e) (f)The figure shows a small lightbulb suspended at distance d₁ = 280 cm above the surface of the water in a swimming pool where the water depth is d2 = 220 cm. The bottom of the pool is a large mirror. How far below the mirror surface is the image of the bulb? (Hint: Construct a diagram of two rays like that of figure (b) below, but take into account the bending of light rays by refraction at the water surface. Assume that the indices of refraction of the air and the water are 1.00 and 1.33 respectively, and the rays are close to a vertical axis through the bulb, and use the small-angle approximation in which sin e≈ tan 0≈ 0.) do (a) Number Units 18 b Mirror Mirror (b) >Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is ps = +23 cm, the type of mirror is concave, and then the distance between the focal point and the mirror is 14 cm (without proper sign). Find (a) the radius of curvature r (including sign), (b) the image distance i, and (c) the lateral magnification m. Also, determine whether the image is (d) real or virtual, (e) inverted from object O or noninverted, and (f) on the same side of the mirror as O or on the opposite side. (a) Number Units cm -23 (b) Number UnitšT cm 37.1 (c) Number T2.85 UnitšT This answer has no units v (d) real (e) inverted (f) same
- Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is ps = +15 cm, the type of mirror is convex, and then the distance between the focal point and the mirror is 30 cm (without proper sign). Find (a) the radius of curvature r (including sign), (b) the image distance i, and (c) the lateral magnification m. Also, determine whether the image is (d) real or virtual, (e) inverted from object O or noninverted, and (f) on the same side of the mirror as O or on the opposite side. (a) Number (b) Number Units Units (c) Number Units (d) (e) (f) >For spherical mirrors, Object O stands on the central axis. In following situations as listed in the table including the object distance p in cm, the type of mirror, and the focal length fin cm (absolute value). Determine (including signs) the radius of curvature r, the image distance i, magnification m, whether the image is real (R) or virtual (V), inverted (1) or non-inverted (NI), and on the same side (S) or opposite side (O). р Mirror, f r m R/V I/NI Side (S/O) 3 Concave, 6 10 Concave, 30 6 Convex, 12 30 Concave, 15 20 Convex, 30 12 Convex, 8The figure shows a small lightbulb suspended at distance d₁ = 280 cm above the surface of the water in a swimming pool where the water depth is d₂ = 220 cm. The bottom of the pool is a large mirror. How far below the mirror surface is the image of the bulb? (Hint: Construct a diagram of two rays like that of figure (b) below, but take into account the bending of light rays by refraction at the water surface. Assume that the indices of refraction of the air and the water are 1.00 and 1.33 respectively, and the rays are close to a vertical axis through the bulb, and use the small-angle approximation in which sin 0≈ tan 0≈ 0.) dq (a) Number Units 0 10 Mirror Mirror (b)
- Thin lenses. Object O stands on the central axis of a thin symmetric lens. For this situation, each problem in the table (below) gives object distance p (centimeters), the type of lens (C stands for converging and D for diverging), and then the distance (centimeters, without proper sign) between a focal point and the lens. Find (a) the image distance i and (b) the lateral magnification m of the object, including signs. Also, determine whether the image is (c) real or virtual, (d) inverted from object O or noninverted, and (e) on the same side of the lens as object O or on the opposite side. (a) (b) (c) (d) (e) Lens i m R/V I/NI Side +14 C, 24 (a) Number Units (b) Number i Units (c) (d) (e) > >Chapter 34, Problem 011 Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is ps = +12 cm, the type of mirror is convex, and then the distance between the focal point and the mirror is 15 cm (without proper sign). Find (a) the radius of curvature r (including sign), (b) the image distance i, and (c) the lateral magnification m. Also, determine whether the image is (d) real or virtual, (e) inverted from object O or noninverted, and (f) on the same side of the mirror as O or on the opposite side. (a) Number Units (b) Number Units (c) Number Units (p) (e) (f)Spherical refracting surfaces. An object O stands on the central axis of a spherical refracting surface. For this situation (see the table below, all distances are in centimeters), nį is the index of refraction where the object is located, n2 is the index of refraction on the other side of the refracting surface. Find (a) the image distance i, and determine whether the image is (b) real or virtual and (c) on the same side of the surface as object O or on the opposite side. (a) (b) (c) n1 n2 p ri R/V Side 1.5 1.3 +70 +56 (a) Number i Units (b) (c) > >
- More mirrors. Object O stands on the central axis of a spherical or plane mirror. For this situation (see the table below, all distances are in centimeters), find (a) the type of mirror, (b) the radius of curvature r (nonzero number or O if infinity), (c) the object distance p, (d) the magnification (including sign), whether (e) the image is real or virtual, (f) inverted or noninverted from O, and (g) on the same side of the mirror as object O or on the opposite side. (a) Type f -27 (b) (c) r р i -11 (d) (e) (f) (g) R/V I/NI Side mSpherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation object distance is p; = +20 cm, the type of mirror is convex, and then the distance between the focal point and the mirror is 34 cm (without proper sign). Find (a) the radius of curvature r (including sign), (b) the image distance i, and (c) the lateral magnification m. Also, determine whether the image is (d) real or virtual, (e) inverted from object O or noninverted, and (f) on the same side of the mirror as O or on the opposite side. (a) Number Units (b) Number i Units (c) Number Units (d) (e) (f) > >Chapter 34, Problem 034 SN When an object is placed a distance p in front of a spherical refracting surface with radius of curvature r, the image distance is i. If the index of refraction of the surrounding material Is n1, what is the index of refraction of the refracting material? State your answer in terms of the given variables. n2 = 2 Edit