Engineering & Architecture Admissions
Q. What is the total current flowing through a circuit with a 10V battery and two 5Ω resistors in series?
-
A.
0.5A
-
B.
1A
-
C.
2A
-
D.
5A
Solution
Total resistance R = R1 + R2 = 5Ω + 5Ω = 10Ω. Using Ohm's law, I = V/R = 10V/10Ω = 1A.
Correct Answer: B — 1A
Q. What is the total current flowing through a junction where 5A enters and 3A and 2A leave?
Solution
According to Kirchhoff's Current Law, the total current entering a junction equals the total current leaving. Here, 5A = 3A + 2A.
Correct Answer: A — 0A
Q. What is the total current in a circuit with a 12V battery and three 4 ohm resistors connected in series?
Solution
Total resistance R_total = 4 + 4 + 4 = 12 ohms. Current I = V/R_total = 12V / 12 ohms = 1A.
Correct Answer: B — 2A
Q. What is the total current in a circuit with a 12V battery and two 4 ohm resistors in series?
-
A.
1 A
-
B.
2 A
-
C.
3 A
-
D.
4 A
Solution
Total resistance R = R1 + R2 = 4 + 4 = 8 ohms. Current I = V/R = 12V / 8 ohms = 1.5 A.
Correct Answer: B — 2 A
Q. What is the total current in a circuit with a 24V battery and three resistors (2Ω, 4Ω, and 6Ω) connected in series?
Solution
Total resistance R = R1 + R2 + R3 = 2Ω + 4Ω + 6Ω = 12Ω. Using Ohm's law, I = V/R = 24V / 12Ω = 2A.
Correct Answer: B — 3A
Q. What is the total current in a circuit with two branches, one carrying 2 A and the other 3 A?
-
A.
5 A
-
B.
6 A
-
C.
1 A
-
D.
0 A
Solution
In a parallel circuit, the total current is the sum of the currents in each branch: I_total = I1 + I2 = 2 A + 3 A = 5 A.
Correct Answer: A — 5 A
Q. What is the total electric flux through a closed surface surrounding a charge of -3Q?
-
A.
-3Q/ε₀
-
B.
3Q/ε₀
-
C.
0
-
D.
-Q/ε₀
Solution
The total electric flux through a closed surface is given by Φ = Q_enc/ε₀, where Q_enc is the enclosed charge.
Correct Answer: A — -3Q/ε₀
Q. What is the total number of atoms in 1 mole of CO2?
Solution
1 mole of CO2 contains 1 carbon atom and 2 oxygen atoms, totaling 3 atoms.
Correct Answer: C — 3
Q. What is the total number of atoms in one molecule of C4H10?
Solution
C4H10 has 4 carbon atoms and 10 hydrogen atoms, totaling 14 atoms.
Correct Answer: C — 14
Q. What is the total number of moles of gas produced when 1 mole of CaCO3 decomposes to form CaO and CO2?
-
A.
0.5 moles
-
B.
1 mole
-
C.
2 moles
-
D.
3 moles
Solution
The decomposition reaction is CaCO3 → CaO + CO2. This produces 1 mole of CaO and 1 mole of CO2, totaling 2 moles of gas.
Correct Answer: C — 2 moles
Q. What is the total number of moles of gas produced when 1 mole of CaCO3 decomposes?
-
A.
1 mole
-
B.
2 moles
-
C.
3 moles
-
D.
0 moles
Solution
The decomposition of CaCO3 produces CaO and CO2: CaCO3 → CaO + CO2. This results in 1 mole of gas (CO2) being produced.
Correct Answer: B — 2 moles
Q. What is the total number of orbitals in the n=2 energy level?
Solution
The total number of orbitals in an energy level is given by n^2. For n=2, it is 2^2 = 4.
Correct Answer: B — 4
Q. What is the total number of orbitals in the n=2 shell?
Solution
The n=2 shell has 4 orbitals: 1s and 3p orbitals.
Correct Answer: B — 4
Q. What is the total number of orbitals in the n=4 energy level?
Solution
The total number of orbitals in an energy level is given by n^2. For n=4, it is 4^2 = 16.
Correct Answer: C — 16
Q. What is the total number of orbitals in the n=4 shell?
Solution
The total number of orbitals in a shell is given by n^2. For n=4, it is 4^2 = 16.
Correct Answer: C — 16
Q. What is the total number of subsets of the empty set?
Solution
The empty set has exactly one subset, which is itself: ∅.
Correct Answer: B — 1
Q. What is the total number of subsets of the set G = {1, 2, 3, 4, 5}?
Solution
The total number of subsets is 2^5 = 32.
Correct Answer: A — 32
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
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
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
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
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
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
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
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
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
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
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
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
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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