64. In the circuit shown below, the ideal voltmeter reads $8.4$ V. What is the ratio of the output power of battery (2) to the input power of battery (1)?
[Figure: Circuit with two batteries: $\varepsilon_1$, $r_1 = 2\,\Omega$ and $\varepsilon_2 = 12\,\text{V}$, $r_2 = 1\,\Omega$, connected with a $2\,\Omega$ resistor and a voltmeter V between them]

• [(1)] $1$
• [(2)] $2$
• [(3)] $\dfrac{6}{5}$
• [(4)] $\dfrac{9}{7}$

65. In the figure below, a uniform magnetic field is perpendicular to the page and two particles with electric charges $q_1$ and $q_2$ move under the influence of this field as shown. If the mass and speed of the two particles are equal, which of the following is correct?
[Figure: Uniform magnetic field directed out of the page; particle (1) moves in a larger circular arc and particle (2) moves in a smaller circular arc]

• [(1)] $|q_1| > |q_2|$ and $q_2 < 0$
• [(2)] $|q_1| > |q_2|$ and $q_1 < 0$
• [(3)] $|q_1| < |q_2|$ and $q_1 < 0$
• [(4)] $|q_1| < |q_2|$ and $q_2 < 0$

%% Page 8 Physics 122A Page 7

66. A straight wire of length 2 m carries a current of 2A from east to west. The magnitude of Earth's magnetic field at the location of this wire is $G = 0.45$ and its direction is from south to north. What is the direction and magnitude (in Newtons) of the magnetic force exerted on this wire?
[Figure: Magnetic field $\vec{B}$ directed into the page, current $I$ directed to the left]

• [(1)] $9 \times 10^{-5}$ , $\downarrow$
• [(2)] $9 \times 10^{-5}$ , $\uparrow$
• [(3)] $1.8 \times 10^{-4}$ , $\downarrow$
• [(4)] $1.8 \times 10^{-4}$ , $\uparrow$

67. The magnetic flux passing through a coil varies according to the graph below. If the magnitude of the induced EMF in the coil during the time intervals (zero to $t_1$), ($t_1$ to $t_2$), and ($t_2$ to $t_3$) are $\varepsilon_1$, $\varepsilon_2$, and $\varepsilon_3$ respectively, which relation is correct?
[Figure: Graph of $\varphi$ vs $t$, showing flux rising to $\varphi_{\max}$ at $t_1$, then decreasing linearly to $-\varphi_{\max}$ at $t_2 = 2t_1$, then increasing linearly back to zero at $t_3 = 3t_1$]

• [(1)] $\varepsilon_1 = 2\varepsilon_3$ and $\varepsilon_2 = 0$
• [(2)] $\varepsilon_1 = 2\varepsilon_2 = 2\varepsilon_3$
• [(3)] $\varepsilon_3 = 2\varepsilon_1$ and $\varepsilon_2 = 0$
• [(4)] $\varepsilon_1 = 2\varepsilon_3 = \varepsilon_2$

68. A coreless solenoid of length $6.28\ \text{cm}$ carries an electric current given by $I = 5\sin 100\pi t$ in SI units, and stores a maximum energy of 5 millijoules. If the cross-sectional area of each turn of the solenoid is $20\ \text{cm}^2$, how many turns does the solenoid have? $$\left(\mu_o = 4\pi \times 10^{-7}\ \frac{\text{T.m}}{\text{A}}\right)$$

• [(1)] 500
• [(2)] 400
• [(3)] 300
• [(4)] 100

69. Two particles $\alpha$ and $\beta$ enter a uniform magnetic field in the same direction and with the same speed. Under the influence of the field, which particle follows a path with a smaller radius of curvature, and what is the reason?

• [(1)] $\beta$, its mass is smaller.
• [(2)] $\beta$, its electric charge is greater.
• [(3)] $\alpha$, it acquires greater speed.
• [(4)] $\alpha$, a greater force acts on it.

%% Page 9 Physics 122A Page 8

70. The graph below relates to two liquids A and B. If we mix equal masses of these two liquids, what will the density of the mixture be in grams per cubic centimeter?
[Figure: Graph with vertical axis labeled $\text{cm}^3$ (volume) and horizontal axis labeled g (mass). Two lines A and B are shown; line A passes through approximately (12, 15) and line B passes through (12, 5).]

• [(1)] $1/5$
• [(2)] $1/6$
• [(3)] $1/8$
• [(4)] $2$

71. In a U-shaped tube with cross-sectional area $2\,\text{cm}^2$, mercury exists. In one of its arms, we pour alcohol so that the mercury in that arm, compared to the initial level, rises $0.5\,\text{cm}$ higher. How many cubic centimeters is the volume of the alcohol? $$\left(\rho = 0.8\,\frac{\text{g}}{\text{cm}^3} \text{ for alcohol} \quad \text{and} \quad \rho = 13.6\,\frac{\text{g}}{\text{cm}^3} \text{ for mercury}\right)$$

• [(1)] $8.5$
• [(2)] $17$
• [(3)] $34$
• [(4)] $51$

72. In the figure below, three pistons A, B, and C are frictionless and the water surface is at equilibrium at height $h$. The pistons have equal weights. If we place equal masses on the pistons, they return to equilibrium and the liquid column heights become $h_A$, $h_B$, and $h_C$. Which relationship is correct?
[Figure: Three connected pistons A, B, C at height h, with liquid below.]

• [(1)] $h_C > h_B > h_A$
• [(2)] $h_C < h_B < h_A$
• [(3)] $h_C = h_B = h_A$
• [(4)] $h_C + h_B + h_A = 3h$

73. According to the figure, a body of mass $100\,\text{g}$ is launched from a height of $4\,\text{m}$ above an inclined surface with velocity $4\,\dfrac{\text{m}}{\text{s}}$ and lands on the inclined surface, then slides down with velocity $10\,\dfrac{\text{m}}{\text{s}}$. How many joules of work is done by the resistive forces on the body? $\left(g = 10\,\dfrac{\text{m}}{\text{s}^2}\right)$
[Figure: Inclined plane with angle $\alpha$, showing projectile path.]

• [(1)] $-2.1$
• [(2)] $-2.4$
• [(3)] $-4.2$
• [(4)] $-5.8$

%% Page 10 Physics 122A Page 9

74-- In a reservoir, 100 grams of ice at zero degrees Celsius is at atmospheric pressure. We supply 100°C steam to the reservoir until all the ice melts. How many grams of steam are absorbed by the reservoir? (In this experiment, $J = 6540\ \frac{\text{J}}{\text{g}}$ grams of heat are absorbed by the reservoir, and $L_F = 336\ \frac{\text{J}}{\text{g}}$, $L_V = 2256\ \frac{\text{J}}{\text{g}}$, $c_{\text{water}} = 4200\ \frac{\text{J}}{\text{kg·K}}$.)

(1) $10$

(2) $15$

(3) $20$

(4) $25$

75-- According to the figure, a free piston with weight $W = 40\ \text{N}$ contains an ideal gas and the air pressure is $10^5$ pascals. On the piston, a weight of 80 newtons is placed; at constant temperature, the weight comes down $4\ \text{cm}$ and again reaches equilibrium. What is the base area of the piston in square centimeters?

[Figure: A rectangular container with a piston of weight $W$ on top, containing ideal gas, with height labeled $26\ \text{cm}$]

(1) $60$

(2) $40$

(3) $30$

(4) $20$

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76-- In the chemical formula of aluminum sulfate, which element has the number of electrons involved in bonding 3 times greater than the number of cations compared to anions?

• [(1)] Sodium carbonate (2) Cobalt(III) oxide (3) Potassium acetate (4) Lithium formate

77-- Given the outermost electronic configuration of the following ions: $\mathrm{A^+: 3p^6}$, $\mathrm{E^{3+}: 3d^5}$, $\mathrm{A^+: 3p^6}$, $\mathrm{X^{2-}: 3p^6}$ and $\mathrm{D^-: 4p^6}$, which of the following statements is correct?
A: The number of electron shells of elements A and E in the periodic table, with the number of valence electrons of element X, are equal.
B: The number of exchanged electrons in 0.2 mol of the compound formed from the reaction of A and X under suitable conditions is $1.8 \times 06 \times 10^{24}$.
C: Negative ions, unlike positive ions, have a noble gas electronic configuration in the periodic table.
D: The ratio of the number of atoms obtained from the reaction of E and D to the number of atoms obtained from the reaction of A and X can be 2.

• [(1)] ``A'' and ``D'' (2) ``A'' and ``C'' (3) ``B'' and ``C'' (4) ``B'' and ``D''

78-- Which of the following statements is correct?
A: An element is a substance made up of identical isotopes.
B: About 78 percent of unidentified elements are found in nature.
C: About 6 percent of lithium found in nature is composed of its lighter isotopes.
D: Atoms whose ratio of proton number to neutron number is greater than $1/5$ are unstable.

• [(1)] ``A'' and ``D'' (2) ``A'' and ``B'' (3) ``C'' and ``D'' (4) ``B'' and ``C''

79-- Which statement is correct?

• [(1)] The total energy emitted from the sun toward Earth is less than the total energy reflected from Earth's surface.
• [(2)] The share of heat emitted from Earth's surface to outer space, compared to the heat returned to Earth's surface, is small.
• [(3)] The share of solar rays absorbed by the atmosphere, compared to the rays absorbed by the Earth's core, is small.
• [(4)] The amount of energy entering from solar rays into the atmosphere and the energy exiting from Earth to the atmosphere, related to the amount of greenhouse gases, is dependent.

80-- Regarding the given reaction, which statement is correct? $$\mathrm{C_2H_4(g) + 6F_2(g) \rightarrow 2CF_4(g) + 4HF(g)}$$

• [(1)] All atoms in the reactants have reached the noble gas configuration.
• [(2)] The oxidation number of carbon in the reaction is $-2$ and for it in the product is different.
• [(3)] This reaction is an example of the formation of polar covalent reactants.
• [(4)] $\mathrm{CF_4}$ has the greatest number of lone pair electrons among the participating molecules in the reaction.

%% Page 12 Chemistry 122A Page 11

81 -- What is the sum of the stoichiometric coefficients of the substances in the following reaction, after balancing it?
$$\mathrm{CH_4(g) + NH_3(g) + O_2(g) \rightarrow HCN(g) + H_2O(g)}$$
(1) 12 (2) 13 (3) 14 (4) 15

82 -- Which compound has ionic and covalent bonds, and when dissolved in water, the attractive force of the ion -- dipole type between the average ionic bond energy in the compound, and the hydrogen bond in water, is greater?
(1) $\mathrm{Na_2SO_4}$ (2) $\mathrm{KCl}$ (3) $\mathrm{BaSO_4}$ (4) $\mathrm{MnBr_2}$

83 -- 200 grams of a 2.22 percent by mass solution of calcium chloride is mixed with a sufficient amount of solid sodium phosphate. The solution formed is 1800 mL. After the reaction is complete, the chloride ion concentration at the end of the reaction, after separating the precipitate, the balanced equation of the reaction is taken into account, from the change in mass of the solution, what is the concentration in ppm?
$$\mathrm{CaCl_2(aq) + Na_3PO_4(s) \rightarrow Ca_3(PO_4)_2(s) + NaCl(aq)} \qquad (\mathrm{Cl = 35.5,\ Ca = 40 : g.mol^{-1}})$$
(1) 2840 (2) 1420 (3) 4260 (4) 5680

84 -- Considering the figure showing the orientation of molecules in an electric field, which statement is incorrect?
[Figure: A battery connected to two plates, with molecules labeled E, D, and A oriented between the plates in an electric field X.]

1. [(1)] D, A, and E can respectively be molecules HI, $\mathrm{SiH_4}$, and $\mathrm{H_2S}$.
2. [(2)] If molecule E is $\mathrm{H_2O}$, surface X has a negative electric charge and the dipole moment of molecule D is zero.
3. [(3)] If molecule E is $\mathrm{SO_2}$, the partial charge of the lateral atoms, Y, is opposite to the electric charge of surface Y.
4. [(4)] If molecule A is HCl, the partial charge of the lateral atoms of molecule D can be the same as the partial charge of the Cl atom in molecule A.

85 -- According to the given equation, if $3.95$ grams of $\mathrm{KMnO_4}$ reacts with a sufficient amount of hydroiodic acid solution and $12.7$ grams of a two-atom molecule is formed, what is the percent yield of the reaction? $(\mathrm{O = 16,\ K = 39,\ Mn = 55,\ I = 127 : g.mol^{-1}})$
$$\mathrm{KMnO_4(s) + HI(aq) \rightarrow MnI_2(aq) + H_2O(l) + KI(aq) + I_2(s)}$$
(1) 75 (2) 80 (3) 85 (4) 90
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86 -- Which statement is incorrect?

1. Recycling metals, including iron, helps the country's sustainable development.
2. Less than ten percent of crude oil extracted is used to produce fibers, fabrics, and detergents.
3. The amount of metallic minerals such as iron and nickel in ocean floor reserves is more than their reserves on land.
4. In iron extraction, the mass ratio of ``iron ore'' used to the mass of ``other mineral resources'' consumed is approximately 2.

87 -- In two separate containers, moles of alkene and acetylene gas equal to a sufficient amount of liquid bromine react. If the mass of product from the acetylene reaction is approximately 1.71 times the mass of product from the alkene reaction with liquid bromine, which alkene is it?
$(H = 1, C = 12, Br = 80 \ ; \ \text{g.mol}^{-1})$
$$C_\gamma H_\gamma(g) + \gamma Br_\gamma(l) \rightarrow C_\gamma H_\gamma Br_\mathfrak{f}(l)$$ $$C_n H_{\gamma n}(g) + Br_\gamma(l) \rightarrow C_n H_{\gamma n} Br_\gamma(l)$$

(1) Hexene

(2) Pentene

(3) Butene

(4) Propene

88 -- At which temperature range (in $^\circ$C), two halogens from the periodic table react with hydrogen gas?

(1) $-100$ to $100$

(2) $-200$ to $-50$

(3) $-700$ to $250$

(4) $-200$ to $500$