Domanda del libro di testo
A concave mirror has a radius of curvature of 34.0 cm. If the mirror is immersed in water (refractive index 1.33), what is its focal length?
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Ch 34: Geometric Optics
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610
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TOC.tableOfContents
- Ch 01: Units, Physical Quantities & Vectors41
- Ch 02: Motion Along a Straight Line67
- Ch 03: Motion in Two or Three Dimensions47
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws59
- Ch 06: Work & Kinetic Energy14
- Ch 07: Potential Energy & Conservation8
- Ch 08: Momentum, Impulse, and Collisions18
- Ch 09: Rotation of Rigid Bodies42
- Ch 10: Dynamics of Rotational Motion48
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics31
- Ch 13: Gravitation35
- Ch 14: Periodic Motion32
- Ch 15: Mechanical Waves25
- Ch 16: Sound & Hearing32
- Ch 17: Temperature and Heat36
- Ch 18: Thermal Properties of Matter38
- Ch 19: The First Law of Thermodynamics33
- Ch 20: The Second Law of Thermodynamics22
- Ch 21: Electric Charge and Electric Field36
- Ch 22: Gauss' Law24
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF26
- Ch 26: Direct-Current Circuits30
- Ch 27: Magnetic Field and Magnetic Forces18
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction28
- Ch 30: Inductance17
- Ch 31: Alternating Current21
- Ch 32: Electromagnetic Waves1
- Ch 33: The Nature and Propagation of Light20
- Ch 34: Geometric Optics34
- Ch 35: Interference19
- Ch 36: Diffraction25
- Ch 37: Special Relativity20
- Ch 38: Photons: Light Waves Behaving as Particles15
- Ch 39: Particles Behaving as Waves26
- Ch 40: Quantum Mechanics I: Wave Functions21
- Ch 41: Quantum Mechanics II: Atomic Structure25
- Ch 42: Molecules and Condensed Matter18
- Ch 43: Nuclear Physics16
- Ch 44: Particle Physics and Cosmology23
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610Non è quello che usi tu?Cambia libro di testo
Capitolo 34, Problema 8
An object is 18.0 cm from the center of a spherical silvered-glass Christmas tree ornament 6.00 cm in diameter. What are the position and magnification of its ?
Guida verificata passo dopo passo1
Step 1: Identify the type of mirror formed by the spherical silvered-glass ornament. Since the ornament is silvered, it acts as a spherical mirror. The diameter of the ornament is given as 6.00 cm, so the radius of curvature (R) is half of the diameter: R = 6.00 cm / 2 = 3.00 cm.
Step 2: Determine the focal length (f) of the spherical mirror using the relationship between the focal length and the radius of curvature: f = R / 2. Substitute the value of R to find f.
Step 3: Use the mirror equation to find the position of the image (q). The mirror equation is: , where p is the object distance (18.0 cm), f is the focal length, and q is the image distance. Rearrange the equation to solve for q.
Step 4: Calculate the magnification (M) of the image using the magnification formula: . Substitute the values of q and p to find M.
Step 5: Interpret the results. The sign of q will indicate whether the image is real or virtual, and the sign of M will indicate whether the image is upright or inverted. Additionally, the magnitude of M will indicate the size of the image relative to the object.
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Mirror Formula
The mirror formula relates the object distance (u), image distance (v), and focal length (f) of a spherical mirror. It is expressed as 1/f = 1/v + 1/u. Understanding this formula is essential for determining the position of the image formed by the ornament, which acts as a concave mirror due to its silvered surface.
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Percorso guidato
09:03
Mirror Equation
Magnification
Magnification (M) is the ratio of the height of the image (h') to the height of the object (h), and it can also be expressed as M = -v/u. This concept is crucial for understanding how the size of the image compares to the size of the object, which is important in the context of the ornament's reflective properties.
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Percorso guidato
09:03Mirror Equation
Focal Length of a Spherical Mirror
The focal length (f) of a spherical mirror is half the radius of curvature (R). For a spherical mirror, the focal length is positive for concave mirrors and negative for convex mirrors. In this case, knowing the diameter of the ornament allows us to calculate the focal length, which is necessary for applying the mirror formula.
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Percorso guidato
05:51Refraction at Spherical Surfaces
Pratica correlata
Domanda del libro di testo
An object 0.600 cm tall is placed 16.5 cm to the left of the vertex of a concave spherical mirror having a radius of curvature of 22.0 cm. Determine the position, size, orientation, and nature (real or virtual) of the image.
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Domanda del libro di testo
Dental Mirror. A dentist uses a curved mirror to view teeth on the upper side of the mouth. Suppose she wants an erect with a magnification of 2.00 when the mirror is 1.25 cm from a tooth. (Treat this problem as though the object and lie along a straight line.) What must be the focal length and radius of curvature of this mirror?
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Domanda del libro di testo
You hold a spherical salad bowl 60 cm in front of your face with the bottom of the bowl facing you. The bowl is made of polished metal with a 35-cm radius of curvature. Where is the of your 5.0-cm tall nose located?
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Domanda del libro di testo
A spherical, concave shaving mirror has a radius of curvature of 32.0 cm. Where is the image? Is the image real or virtual?
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