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Introduction to SAT II Physics - FreeExamPapers

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where is the uncertainty in a particle’s position and is the uncertainty in its<br />

momentum.<br />

According <strong>to</strong> the uncertainty principle, if you know exactly where a particle is, you<br />

have no idea how fast it is moving, and if you know exactly how fast it is moving, you have<br />

no idea where it is. This principle has profound effects on the way we can think about the<br />

world. It casts a shadow of doubt on many long-held assumptions: that every cause has a<br />

clearly defined effect, that observation has no influence upon experimental results, and so<br />

on. For <strong>SAT</strong> <strong>II</strong> <strong>Physics</strong>, however, you needn’t be aware of the philosophical conundrum<br />

Heisenberg posed—you just need <strong>to</strong> know the name of the principle, its meaning, and the<br />

formula associated with it.<br />

Nuclear <strong>Physics</strong><br />

Until now, we’ve taken it for granted that you know what pro<strong>to</strong>ns, neutrons, and<br />

electrons are. Within the past century, these objects have gone from being part of vaguely<br />

conjectured theories by advanced physicists <strong>to</strong> common knowledge. Unfortunately, <strong>SAT</strong><br />

<strong>II</strong> <strong>Physics</strong> is going <strong>to</strong> test you on matters that go far beyond common knowledge. That’s<br />

where we come in.<br />

Basic Vocabulary and Notation<br />

As you surely know, a<strong>to</strong>ms are made up of a nucleus of pro<strong>to</strong>ns and neutrons orbited by<br />

electrons. Pro<strong>to</strong>ns have a positive electric charge, electrons have a negative electric<br />

charge, and neutrons have a neutral charge. An electrically stable a<strong>to</strong>m will have as many<br />

electrons as pro<strong>to</strong>ns.<br />

A<strong>to</strong>mic Mass Unit<br />

Because objects on the a<strong>to</strong>mic level are so tiny, it can be a bit unwieldy <strong>to</strong> talk about their<br />

mass in terms of kilograms. Rather, we will often use the a<strong>to</strong>mic mass unit (amu, or<br />

sometimes just u), which is defined as one-twelfth of the mass of a carbon-12 a<strong>to</strong>m. That<br />

means that 1 amu =<br />

kg. We can express the mass of the elementary<br />

particles either in kilograms or a<strong>to</strong>mic mass units:<br />

Particle Mass (kg) Mass (amu)<br />

Pro<strong>to</strong>n 1.0073<br />

Neutron 1.0086<br />

Electron<br />

As you can see, the mass of electrons is pretty much negligible when calculating the mass<br />

of an a<strong>to</strong>m.<br />

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