Domanda del libro di testo
A camera lens has a focal length of 180.0 mm and an aperture diameter of 16.36 mm. What is the ƒ-number of the lens?
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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 51a
Where is the near point of an eye for which a contact lens with a power of +2.75 diopters is prescribed?
Guida verificata passo dopo passo1
Understand the problem: The power of a lens (in diopters) is related to its focal length (in meters) by the formula: . Here, the power of the contact lens is given as +2.75 diopters, and we need to find the focal length of the lens, which corresponds to the near point of the eye.
Rearrange the formula to solve for the focal length: . Substitute the given power of the lens, , into the equation.
Perform the calculation to find the focal length: . This will give the focal length in meters.
Interpret the result: The focal length of the lens represents the distance at which the lens focuses light. Since the lens is correcting for the near point of the eye, this focal length corresponds to the near point distance of the eye with the contact lens in place.
Convert the focal length to centimeters if needed (1 meter = 100 centimeters) for a more practical representation of the near point distance.
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Power of a Lens
The power of a lens, measured in diopters, is the reciprocal of its focal length in meters. A positive power indicates a converging lens, which is used to correct hyperopia (farsightedness). In this case, a contact lens with a power of +2.75 diopters means it has a focal length of approximately 0.364 meters, or 36.4 centimeters.
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Lens Maker Equation
Near Point
The near point of the eye is the closest distance at which an object can be seen clearly without strain. For a normal eye, this distance is typically around 25 centimeters. However, for individuals with vision impairments, such as hyperopia, the near point can be farther away, necessitating corrective lenses to bring it closer.
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Lens Formula
The lens formula relates the object distance (u), image distance (v), and focal length (f) of a lens, expressed as 1/f = 1/v - 1/u. This formula is essential for determining how a lens affects the position of the image formed by an object. In the context of contact lenses, it helps calculate the effective near point when a lens is used.
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Pratica correlata
Domanda del libro di testo
Contact lenses are placed right on the eyeball, so the distance from the eye to an object (or image) is the same as the distance from the lens to that object (or image). A certain person can see distant objects well, but his near point is 45.0 cm from his eyes instead of the usual 25.0 cm. Is this person nearsighted or farsighted?
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Domanda del libro di testo
BIO A person can see clearly up close but cannot focus on objects beyond 75.0 cm. She opts for contact lenses to correct her vision. Is she nearsighted or farsighted?
1954
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Domanda del libro di testo
Zoom Lens. Consider the simple model of the zoom lens shown in Fig. 34.43a. The converging lens has focal length f1 = 12 cm, and the diverging lens has focal length f2 = -12 cm. The lenses are separated by 4 cm as shown in Fig. 34.43a. (a) For a distant object, where is the of the converging lens? (c) Where is the final image? Compare your answer to Fig. 34.43a.
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Domanda del libro di testo
You wish to project the image of a slide on a screen 9.00 m from the lens of a slide projector. If the dimensions of the picture on a 35 mm color slide are 24 mm ✖ 36 mm, what is the minimum size of the projector screen required to accommodate the image?
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Domanda del libro di testo
BIO Ordinary Glasses. Ordinary glasses are worn in front of the eye and usually 2.0 cm in front of the eyeball. Suppose that the person in Exercise 34.52 prefers ordinary glasses to contact lenses. What focal length lenses are needed to correct his vision, and what is their power in diopters?
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