Q. What is the total power consumed in a circuit with a 12V battery and a 4Ω resistor?
-
A.
12W
-
B.
24W
-
C.
36W
-
D.
48W
Solution
Power P = V^2/R = (12V)^2/4Ω = 36W.
Correct Answer: B — 24W
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Q. What is the total power consumed in a circuit with a current of 5A and a total resistance of 4Ω?
-
A.
10W
-
B.
20W
-
C.
30W
-
D.
40W
Solution
Power (P) = I^2 * R = 5^2 * 4 = 25 * 4 = 100W.
Correct Answer: D — 40W
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Q. What is the total power of two lenses of power +5 D and -3 D placed in contact?
-
A.
2 D
-
B.
8 D
-
C.
15 D
-
D.
1 D
Solution
Total power P = P1 + P2 = 5 D - 3 D = 2 D.
Correct Answer: A — 2 D
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Q. What is the total resistance in a circuit with a 10Ω resistor in series with a 5Ω resistor?
-
A.
5Ω
-
B.
10Ω
-
C.
15Ω
-
D.
50Ω
Solution
In series, total resistance (R_total) = R1 + R2 = 10Ω + 5Ω = 15Ω.
Correct Answer: C — 15Ω
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Q. What is the total resistance in a circuit with a 12 ohm and a 4 ohm resistor connected in parallel?
-
A.
3 ohms
-
B.
4 ohms
-
C.
9 ohms
-
D.
16 ohms
Solution
1/R_eq = 1/12 + 1/4 => R_eq = 3 ohms.
Correct Answer: A — 3 ohms
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Q. What is the total resistance in a circuit with a 12Ω resistor and a 4Ω resistor connected in series?
-
A.
16Ω
-
B.
48Ω
-
C.
3Ω
-
D.
8Ω
Solution
In series, total resistance R_total = R1 + R2 = 12Ω + 4Ω = 16Ω.
Correct Answer: A — 16Ω
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Q. What is the total resistance of a circuit with a 3Ω and a 5Ω resistor in series?
-
A.
8Ω
-
B.
15Ω
-
C.
2Ω
-
D.
1.5Ω
Solution
Total resistance R = R1 + R2 = 3Ω + 5Ω = 8Ω.
Correct Answer: A — 8Ω
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Q. What is the total resistance of two 10 ohm resistors connected in parallel?
-
A.
5 ohms
-
B.
10 ohms
-
C.
20 ohms
-
D.
15 ohms
Solution
1/R_eq = 1/R1 + 1/R2 = 1/10 + 1/10 = 2/10. Thus, R_eq = 10/2 = 5 ohms.
Correct Answer: A — 5 ohms
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Q. What is the total resistance of two 10 ohm resistors connected in series?
-
A.
5 ohms
-
B.
10 ohms
-
C.
20 ohms
-
D.
15 ohms
Solution
In series, R_eq = R1 + R2 = 10 + 10 = 20 ohms.
Correct Answer: C — 20 ohms
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Q. What is the total resistance of two 12 ohm resistors connected in parallel?
-
A.
6 ohms
-
B.
12 ohms
-
C.
24 ohms
-
D.
18 ohms
Solution
1/R_eq = 1/R1 + 1/R2 = 1/12 + 1/12 = 2/12. Thus, R_eq = 12/2 = 6 ohms.
Correct Answer: A — 6 ohms
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Q. What is the total resistance of two 8Ω resistors connected in series?
-
A.
8Ω
-
B.
16Ω
-
C.
4Ω
-
D.
12Ω
Solution
In series, R_eq = R1 + R2 = 8 + 8 = 16Ω.
Correct Answer: B — 16Ω
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Q. What is the total resistance of two resistors of 5 ohms and 10 ohms connected in parallel?
-
A.
3.33 ohms
-
B.
5 ohms
-
C.
15 ohms
-
D.
50 ohms
Solution
1/R_eq = 1/5 + 1/10 => R_eq = 3.33 ohms.
Correct Answer: A — 3.33 ohms
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Q. What is the total resistance of two resistors of 8Ω and 12Ω connected in series?
-
A.
20Ω
-
B.
24Ω
-
C.
16Ω
-
D.
18Ω
Solution
In series, R_eq = R1 + R2 = 8 + 12 = 20Ω.
Correct Answer: A — 20Ω
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Q. What is the total voltage across a parallel circuit with two branches, one with 10Ω and 20Ω resistors, if the total current is 3A?
-
A.
6V
-
B.
9V
-
C.
12V
-
D.
15V
Solution
Using the formula V = I * R_eq. First, find R_eq = 1 / (1/10 + 1/20) = 6.67Ω. Then, V = 3A * 6.67Ω = 20V.
Correct Answer: C — 12V
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Q. What is the total voltage in a series circuit with a 9V battery and two resistors of 2Ω and 3Ω?
Solution
In a series circuit, the total voltage is equal to the voltage of the battery, which is 9V.
Correct Answer: A — 9V
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Q. What is the trace of the matrix A = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?
Solution
The trace of A is the sum of the diagonal elements: 1 + 5 + 9 = 15.
Correct Answer: A — 15
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Q. What is the trend in atomic radius as you move down a group in the periodic table?
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
D.
Increases then decreases
Solution
Atomic radius increases down a group due to the addition of electron shells.
Correct Answer: A — Increases
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Q. What is the trend in atomic radius as you move down the group of alkali metals?
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
D.
Varies irregularly
Solution
The atomic radius increases as you move down the group of alkali metals.
Correct Answer: A — Increases
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Q. What is the trend in electronegativity as you move from left to right across a period?
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
D.
Varies irregularly
Solution
Electronegativity increases from left to right across a period.
Correct Answer: A — Increases
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Q. What is the trend in ionization energy as you move down the group in s-block elements?
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
D.
Varies irregularly
Solution
Ionization energy decreases as you move down the group in s-block elements due to increased atomic size.
Correct Answer: B — Decreases
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Q. What is the trend in ionization energy for alkali metals down the group?
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
D.
Fluctuates
Solution
Ionization energy decreases down the group for alkali metals.
Correct Answer: B — Decreases
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Q. What is the trend in metallic character as you move from left to right across a period?
-
A.
Increases
-
B.
Decreases
-
C.
Remains constant
-
D.
Increases then decreases
Solution
Metallic character decreases from left to right across a period.
Correct Answer: B — Decreases
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Q. What is the truth value of the expression A AND (B OR C) when A = 1, B = 0, and C = 1?
Solution
First, evaluate B OR C, which is 0 OR 1 = 1. Then, A AND 1 = 1 AND 1 = 1.
Correct Answer: B — 1
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Q. What is the truth value of the expression A AND (B OR C) when A = 1, B = 0, C = 1?
-
A.
0
-
B.
1
-
C.
2
-
D.
Undefined
Solution
B OR C = 0 OR 1 = 1. Then, A AND 1 = 1 AND 1 = 1.
Correct Answer: B — 1
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Q. What is the typical band gap of germanium?
-
A.
0.66 eV
-
B.
1.1 eV
-
C.
1.5 eV
-
D.
2.0 eV
Solution
The typical band gap of germanium is approximately 0.66 eV.
Correct Answer: A — 0.66 eV
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Q. What is the typical charge of s-block metal ions?
Solution
S-block metals typically form ions with a charge of +2.
Correct Answer: B — +2
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Q. What is the typical range of energy band gaps for semiconductors?
-
A.
0.1 - 0.5 eV
-
B.
0.5 - 1.5 eV
-
C.
1.5 - 3.0 eV
-
D.
3.0 - 5.0 eV
Solution
The typical range of energy band gaps for semiconductors is between 0.5 eV and 1.5 eV.
Correct Answer: B — 0.5 - 1.5 eV
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Q. What is the typical range of the energy band gap for semiconductors?
-
A.
0.1 - 0.5 eV
-
B.
0.5 - 2.5 eV
-
C.
2.5 - 5 eV
-
D.
5 - 10 eV
Solution
The typical range of the energy band gap for semiconductors is between 0.5 eV and 2.5 eV.
Correct Answer: B — 0.5 - 2.5 eV
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Q. What is the uncertainty in a measurement of 50.0 ± 0.5 g when converted to kilograms?
-
A.
0.0005 kg
-
B.
0.005 kg
-
C.
0.05 kg
-
D.
0.5 kg
Solution
To convert grams to kilograms, divide by 1000. The uncertainty in kilograms is 0.5 g / 1000 = 0.0005 kg.
Correct Answer: B — 0.005 kg
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Q. What is the uncertainty in position if the uncertainty in momentum of a particle is 1.0 x 10^-24 kg m/s?
-
A.
1.0 x 10^-10 m
-
B.
6.63 x 10^-10 m
-
C.
1.0 x 10^-34 m
-
D.
6.63 x 10^-34 m
Solution
Using Heisenberg's uncertainty principle, ΔxΔp ≥ ħ/2, we find Δx ≥ ħ/(2Δp) = (1.055 x 10^-34)/(2 x 1.0 x 10^-24) = 5.27 x 10^-11 m.
Correct Answer: D — 6.63 x 10^-34 m
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