MCAT-Section-3-Physical-Sciences Section Three : Physical Sciences

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Showing 1–3 of 15 questions

Question 1

The frequency of second’s pendulum is:

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  • 2 Hertz

  • 0.5 Hertz

  • 1 Hertz

  • 0.25 Hertz

Question 2

Many nutrients required by plants exist in soil as basic cations:

A soil’s cation-exchange capacity is a measure of its ability to adsorb these basic cations as well as exchangeable hydrogen and aluminum ions. The cation-exchange capacity of soil is derived from two sources: small clay particles called micelles consisting of alternating layers of alumina and silica crystals, and organic colloids.

Replacement of + by other cations of lower valence creates a net negative charge within the inner layers of the micelles. This is called the soil’s permanent charge. For example, replacement of an atom of aluminum by calcium within a section where the net charge was previously zero, as shown below, produces a net charge of –1, to which other cations can become adsorbed.

Figure 1

A pH-dependent charge develops when hydrogen dissociates from hydroxyl moieties on the outer surfaces of the clay micelles. This leaves negatively-charged oxygen atoms to which basic cations may adsorb. Likewise, a large pH-dependent charge develops when hydrogen dissociates from carboxylic acids and phenols in organic matter.

In most clays, permanent charges brought about by substitution account for anywhere from half to nearly all of the total cation-exchange capacity. Soils very high in organic matter contain primarily pH-dependent charges.

In a research study, three samples of soil were leached with a 1 N solution of neutral KCl, and the displaced A13+ and basic cations measured. The sample was then leached again with a buffered solution of BaCl2 and triethanolamine at pH 8.2, and the displaced H+ measured. Table 1 gives results for three soils tested by this method.

Table 1

Due to the buffering effect of the soil’s cation exchange capacity, just measuring the soil solution’s pH will not indicate how much base is needed to change the soil pH. In another experiment, measured amounts of acid and base were added to 10gram samples of well-mixed soil that had been collected from various locations in a field. The volumes of the samples were equalized by adding water. The results were recorded in Figure 2.

Figure 2.

How much solid NaOH is required to neutralize 700 mL of 2 N HNO3?

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  • 40 g

  • 48 g

  • 56 g

  • 64 g

Question 3

X-rays are produced by a device which beams electrons with an energy between 103 and 106 eV at a metal plate. The electrons interact with the metal plate and are stopped by it. Much of the energy of the incoming electrons is released in the form of X-rays, which are high-energy photons of electromagnetic radiation. An example of such a device is shown below. Electrons are accelerated from the cathode towards the anode by an electric field.

There are two mechanisms by which the X-rays are produced within the metal. The first mechanism is called bremsstrahlung, which is German for “breaking radiation.” X-rays are emitted by the electrons as they are brought to rest by interactions with the positive nuclei of the anode.

The second mechanism occurs when an incoming electron knocks an inner electron out of one of the metal atoms of the anode. This electron is replaced by an electron from a higher energy level of the atom, and a photon making up the energy difference is emitted.

X-rays are absorbed by a material when they pass through it. The amount of X-rays absorbed increases with the density of the material. In addition, lower energy X-rays are more likely to be absorbed than higher energy X-rays. (Note: 1 eV = 1.6 x

10-19 J; Planck’s constant h = 4.1 x 10–15 eV•s; speed of light c = 3 x 108 m/s.)

An electron is accelerated through a distance of 0.1 m by a potential difference of 10,000 volts. What is the electron’s energy as it strikes the anode?

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  • 100 eV

  • 1,000 eV

  • 10,000 eV
    The important thing to note is that it doesn’t matter what distance the electron is accelerated through. All that matters are the magnitude of the potential difference that accelerates the charge, and the magnitude of the charge itself.

  • 1 J