Q. What is the equivalent resistance of three resistors of 2 ohms each connected in series? (2020)
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A.
2 ohms
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B.
4 ohms
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C.
6 ohms
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D.
8 ohms
Solution
In series, the equivalent resistance is the sum of the individual resistances: R_eq = R1 + R2 + R3 = 2 + 2 + 2 = 6 ohms.
Correct Answer: C — 6 ohms
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Q. What is the equivalent resistance of three resistors of 2 ohms, 3 ohms, and 6 ohms connected in series?
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A.
1 ohm
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B.
3 ohms
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C.
11 ohms
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D.
12 ohms
Solution
In series, the equivalent resistance is the sum of the individual resistances: R_eq = R1 + R2 + R3 = 2 + 3 + 6 = 11 ohms.
Correct Answer: C — 11 ohms
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Q. What is the equivalent resistance of three resistors of 2Ω, 3Ω, and 5Ω connected in parallel?
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A.
1Ω
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B.
2Ω
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C.
0.83Ω
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D.
10Ω
Solution
1/Req = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/5 = 0.8333, thus Req = 1.2Ω.
Correct Answer: C — 0.83Ω
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Q. What is the equivalent resistance of three resistors of 2Ω, 3Ω, and 6Ω connected in parallel?
Solution
1/R_eq = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/6 = 1. Therefore, R_eq = 1Ω.
Correct Answer: A — 1Ω
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Q. What is the equivalent resistance of three resistors of 2Ω, 3Ω, and 6Ω connected in series?
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A.
11Ω
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B.
10Ω
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C.
9Ω
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D.
12Ω
Solution
In series, R_eq = R1 + R2 + R3 = 2 + 3 + 6 = 11Ω.
Correct Answer: A — 11Ω
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Q. What is the equivalent resistance of three resistors of values 2Ω, 3Ω, and 5Ω connected in parallel?
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A.
1Ω
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B.
2Ω
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C.
0.83Ω
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D.
10Ω
Solution
1/R_eq = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/5 = 0.8333, thus R_eq = 1.2Ω.
Correct Answer: C — 0.83Ω
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Q. What is the equivalent resistance of three resistors of values 2Ω, 3Ω, and 6Ω connected in parallel?
Solution
1/Req = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/6 = 1. Therefore, Req = 1Ω.
Correct Answer: B — 2Ω
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Q. What is the equivalent resistance of three resistors, 2Ω, 3Ω, and 6Ω, connected in series?
Solution
In series, the equivalent resistance is the sum of the individual resistances: R_eq = R1 + R2 + R3 = 2Ω + 3Ω + 6Ω = 11Ω.
Correct Answer: A — 11Ω
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Q. What is the equivalent resistance of three resistors, R1, R2, and R3, connected in series?
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A.
R1 + R2 + R3
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B.
1/(1/R1 + 1/R2 + 1/R3)
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C.
R1 * R2 * R3
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D.
R1 - R2 - R3
Solution
In a series connection, the total or equivalent resistance is the sum of the individual resistances.
Correct Answer: A — R1 + R2 + R3
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Q. What is the equivalent resistance of two 10Ω resistors connected in series? (2022)
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A.
5Ω
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B.
10Ω
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C.
20Ω
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D.
15Ω
Solution
In series, R_eq = R1 + R2 = 10 + 10 = 20Ω.
Correct Answer: C — 20Ω
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Q. What is the equivalent resistance of two 12Ω resistors connected in series? (2019)
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A.
6Ω
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B.
12Ω
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C.
24Ω
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D.
18Ω
Solution
In series, R_eq = R1 + R2 = 12Ω + 12Ω = 24Ω.
Correct Answer: C — 24Ω
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Q. What is the equivalent resistance of two 4Ω resistors in parallel? (2019)
Solution
Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/4 + 1/4 = 1/2, thus R_eq = 2Ω.
Correct Answer: A — 2Ω
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Q. What is the equivalent resistance of two resistors of 10 ohms and 20 ohms connected in series?
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A.
30 ohms
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B.
20 ohms
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C.
10 ohms
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D.
5 ohms
Solution
In series, the equivalent resistance R_eq = R1 + R2 = 10 ohms + 20 ohms = 30 ohms.
Correct Answer: A — 30 ohms
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Q. What is the equivalent resistance of two resistors of 4 ohms and 6 ohms connected in series?
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A.
10 ohms
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B.
24 ohms
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C.
2.4 ohms
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D.
0.67 ohms
Solution
In series, the equivalent resistance is the sum: R_eq = R1 + R2 = 4 Ω + 6 Ω = 10 Ω.
Correct Answer: A — 10 ohms
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Q. What is the equivalent resistance of two resistors of 4 ohms and 6 ohms in series?
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A.
10 ohms
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B.
24 ohms
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C.
2.4 ohms
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D.
0.67 ohms
Solution
In series, the equivalent resistance is the sum: R_eq = R1 + R2 = 4 Ω + 6 Ω = 10 Ω.
Correct Answer: A — 10 ohms
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Q. What is the equivalent resistance of two resistors of 4Ω and 12Ω connected in parallel?
Solution
Using the formula for parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/12 = 1/3. Therefore, R_eq = 3Ω.
Correct Answer: C — 6Ω
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Q. What is the equivalent resistance of two resistors of 4Ω and 12Ω in parallel? (2022)
Solution
Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/4 + 1/12 = 1/3, so R_eq = 3Ω.
Correct Answer: A — 3Ω
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Q. What is the equivalent resistance of two resistors of 5 ohms and 10 ohms connected in parallel?
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A.
3.33 ohms
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B.
15 ohms
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C.
5 ohms
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D.
7.5 ohms
Solution
Using the formula for resistors in parallel, 1/R_eq = 1/R1 + 1/R2, we find R_eq = 1 / (1/5 + 1/10) = 3.33 ohms.
Correct Answer: A — 3.33 ohms
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Q. What is the equivalent resistance of two resistors of 5Ω and 10Ω connected in parallel?
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A.
3.33Ω
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B.
5Ω
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C.
7.5Ω
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D.
15Ω
Solution
1/Req = 1/R1 + 1/R2 = 1/5 + 1/10 = 2/10 + 1/10 = 3/10. Therefore, Req = 10/3 = 3.33Ω.
Correct Answer: A — 3.33Ω
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Q. What is the equivalent resistance of two resistors of 8Ω and 12Ω connected in series? (2019)
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A.
20Ω
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B.
24Ω
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C.
16Ω
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D.
10Ω
Solution
In series, R_eq = R1 + R2 = 8Ω + 12Ω = 20Ω.
Correct Answer: A — 20Ω
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Q. What is the equivalent resistance of two resistors of 8Ω and 4Ω connected in series? (2022)
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A.
12Ω
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B.
32Ω
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C.
2Ω
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D.
8Ω
Solution
In series, R_eq = R1 + R2 = 8Ω + 4Ω = 12Ω.
Correct Answer: A — 12Ω
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Q. What is the equivalent resistance of two resistors, 6 ohms and 3 ohms, connected in series?
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A.
2 ohms
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B.
3 ohms
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C.
9 ohms
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D.
18 ohms
Solution
In series, the equivalent resistance is the sum: R_eq = R1 + R2 = 6Ω + 3Ω = 9Ω.
Correct Answer: C — 9 ohms
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Q. What is the equivalent resistance of two resistors, 6Ω and 3Ω, connected in series?
Solution
In series, the equivalent resistance (R_eq) is the sum of the resistances: R_eq = 6Ω + 3Ω = 9Ω.
Correct Answer: C — 9Ω
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Q. What is the equivalent resistance of two resistors, R1 = 4Ω and R2 = 6Ω, in parallel? (2022)
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A.
2.4Ω
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B.
10Ω
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C.
24Ω
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D.
1.5Ω
Solution
The formula for equivalent resistance in parallel is 1/R_eq = 1/R1 + 1/R2. Thus, 1/R_eq = 1/4 + 1/6 = 5/12, so R_eq = 12/5 = 2.4Ω.
Correct Answer: A — 2.4Ω
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Q. What is the equivalent resistance of two resistors, R1 and R2, in parallel? (2022)
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A.
R1 + R2
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B.
R1 * R2 / (R1 + R2)
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C.
1 / (1/R1 + 1/R2)
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D.
R1 - R2
Solution
The formula for equivalent resistance (R_eq) of two resistors in parallel is given by 1 / (1/R1 + 1/R2).
Correct Answer: C — 1 / (1/R1 + 1/R2)
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Q. What is the equivalent weight of H2SO4 if its molar mass is 98 g/mol?
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A.
49 g
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B.
98 g
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C.
196 g
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D.
24.5 g
Solution
Equivalent weight = molar mass / number of equivalents = 98 g/mol / 2 = 49 g.
Correct Answer: A — 49 g
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Q. What is the error called that occurs due to the limitations of the measuring instrument? (2023)
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A.
Random error
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B.
Systematic error
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C.
Instrumental error
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D.
Human error
Solution
Instrumental error occurs due to the limitations of the measuring instrument.
Correct Answer: C — Instrumental error
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Q. What is the error in a measurement of 20.0 cm if the true value is 19.5 cm? (2023)
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A.
0.5 cm
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B.
0.5%
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C.
2.5 cm
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D.
2.5%
Solution
The error is the absolute difference between the measured value and the true value, which is |20.0 - 19.5| = 0.5 cm.
Correct Answer: A — 0.5 cm
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Q. What is the error in measurement if the true value is 100 and the measured value is 95? (2023)
Solution
The error in measurement is the difference between the true value and the measured value, which is 100 - 95 = 5.
Correct Answer: A — 5
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Q. What is the escape velocity for a satellite to leave Earth's gravitational field?
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A.
7.9 km/s
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B.
11.2 km/s
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C.
9.8 km/s
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D.
5.0 km/s
Solution
The escape velocity from the Earth's surface is approximately 11.2 km/s.
Correct Answer: B — 11.2 km/s
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