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Introduction to SAT II Physics - FreeExamPapers

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As the diagram shows us, and as the two equations for lenses and mirrors will confirm,<br />

the image is virtual, appears on the same side of the lens as the boy does, and stands<br />

upright. This means that is negative and that and m are positive. Note that h > , so<br />

m < 1.<br />

Summary<br />

There’s a lot of information <strong>to</strong> absorb about mirrors and lenses, and remembering which<br />

rules apply <strong>to</strong> which kinds of mirrors and lenses can be quite difficult. However, this<br />

information is all very systematic, so once you grasp the big picture, it’s quite easy <strong>to</strong> sort<br />

out the details. In summary, we’ll list three things that may help you grasp the big<br />

picture:<br />

1. Learn <strong>to</strong> draw ray diagrams: Look over the diagrams of the four kinds of<br />

optical instruments and practice drawing them yourself. Remember that light<br />

refracts through lenses and reflects off mirrors. And remember that convex lenses<br />

and concave mirrors focus light <strong>to</strong> a point, while concave lenses and convex<br />

mirrors cause light <strong>to</strong> diverge away from a point.<br />

2. Memorize the two fundamental equations: You can walk in<strong>to</strong> <strong>SAT</strong> <strong>II</strong><br />

<strong>Physics</strong> knowing only the two equations for lenses and mirrors and still get a<br />

perfect score on the optical instruments questions, so long as you know how <strong>to</strong><br />

apply these equations. Remember that f is positive for concave mirrors and<br />

convex lenses, and negative for convex mirrors and concave lenses.<br />

3. Memorize this table: Because we love you, we’ve put <strong>to</strong>gether a handy table<br />

that summarizes everything we’ve covered in this section of the text.<br />

Optical Instrument<br />

Value<br />

of d ´<br />

Real or<br />

virtual?<br />

Value<br />

of f<br />

Upright or<br />

upside down?<br />

Mirrors ( and f are<br />

positive in front of<br />

mirror)<br />

Concave d<br />

> f<br />

Concave d<br />

< f<br />

+ Real + Upside down<br />

– Virtual + Upright<br />

Convex – Virtual – Upright<br />

Lenses ( and f are<br />

positive on far side of<br />

lens)<br />

Convex d<br />

> f<br />

Convex d<br />

< f<br />

+ Real + Upside down<br />

– Virtual + Upright<br />

Concave – Virtual – Upright<br />

Note that when is positive, the image is always real and upside down, and when is<br />

negative, the image is always virtual and upright.<br />

305

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