A hunter who is a bit of a braggart claims that from adistance of 1.6 km he can selectively shoot either of twosquirrels who are sitting ten centimeters apart on the same branch of atree. What’s more, he claims that he can do this without the aid of a telescopic sight on his rifl e. (a) Determine the diameter of the pupils of hiseyes that would be required for him to be able to resolve the squirrels asseparate objects. In this calculation use a wavelength of 498 nm (in vacuum) for the light. (b) State whether his claim is reasonable, and providea reason for your answer. In evaluating his claim, consider that the humaneye automatically adjusts the diameter of its pupil over a typical range of2 to 8 mm, the larger values coming into play as the lighting becomesdarker. Note also that under dark conditions, the eye is most sensitive toa wavelength of 498 nm.
Ray Optics
Optics is the study of light in the field of physics. It refers to the study and properties of light. Optical phenomena can be classified into three categories: ray optics, wave optics, and quantum optics. Geometrical optics, also known as ray optics, is an optics model that explains light propagation using rays. In an optical device, a ray is a direction along which light energy is transmitted from one point to another. Geometric optics assumes that waves (rays) move in straight lines before they reach a surface. When a ray collides with a surface, it can bounce back (reflect) or bend (refract), but it continues in a straight line. The laws of reflection and refraction are the fundamental laws of geometrical optics. Light is an electromagnetic wave with a wavelength that falls within the visible spectrum.
Converging Lens
Converging lens, also known as a convex lens, is thinner at the upper and lower edges and thicker at the center. The edges are curved outwards. This lens can converge a beam of parallel rays of light that is coming from outside and focus it on a point on the other side of the lens.
Plano-Convex Lens
To understand the topic well we will first break down the name of the topic, ‘Plano Convex lens’ into three separate words and look at them individually.
Lateral Magnification
In very simple terms, the same object can be viewed in enlarged versions of itself, which we call magnification. To rephrase, magnification is the ability to enlarge the image of an object without physically altering its dimensions and structure. This process is mainly done to get an even more detailed view of the object by scaling up the image. A lot of daily life examples for this can be the use of magnifying glasses, projectors, and microscopes in laboratories. This plays a vital role in the fields of research and development and to some extent even our daily lives; our daily activity of magnifying images and texts on our mobile screen for a better look is nothing other than magnification.
A hunter who is a bit of a braggart claims that from a
distance of 1.6 km he can selectively shoot either of two
squirrels who are sitting ten centimeters apart on the same branch of a
tree. What’s more, he claims that he can do this without the aid of a telescopic sight on his rifl e. (a) Determine the diameter of the pupils of his
eyes that would be required for him to be able to resolve the squirrels as
separate objects. In this calculation use a wavelength of 498 nm (in vacuum) for the light. (b) State whether his claim is reasonable, and provide
a reason for your answer. In evaluating his claim, consider that the human
eye automatically adjusts the diameter of its pupil over a typical range of
2 to 8 mm, the larger values coming into play as the lighting becomes
darker. Note also that under dark conditions, the eye is most sensitive to
a wavelength of 498 nm.
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