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Q. If a 5 ohm resistor and a 10 ohm resistor are connected in series, what is the voltage across the 10 ohm resistor when a current of 2 A flows through the circuit?

A. 10 V
B. 20 V
C. 5 V
D. 15 V

Solution

Voltage across the 10 ohm resistor, V = I * R = 2 A * 10 Ω = 20 V.

Correct Answer: B — 20 V

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Q. If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed in 2 seconds?

A. 10 J
B. 20 J
C. 5 J
D. 15 J

Solution

Power P = V^2 / R = 10^2 / 5 = 20 W. Energy = Power * time = 20 W * 2 s = 40 J.

Correct Answer: B — 20 J

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Q. If a 5 ohm resistor is connected to a 10V battery, what is the energy consumed in 2 minutes?

A. 60 J
B. 120 J
C. 240 J
D. 30 J

Solution

Power P = V^2/R = 10^2 / 5 = 20 W. Energy = Power * time = 20 W * 120 s = 2400 J.

Correct Answer: B — 120 J

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Q. If a 5Ω resistor is connected in parallel with a 10Ω resistor, what is the equivalent resistance?

A. 3.33Ω
B. 5Ω
C. 7.5Ω
D. 15Ω

Solution

R_eq = 1/(1/5 + 1/10) = 3.33Ω.

Correct Answer: A — 3.33Ω

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Q. If a 5Ω resistor is connected in series with a 10Ω resistor, what is the total resistance? (2022)

A. 15Ω
B. 5Ω
C. 10Ω
D. 20Ω

Solution

In series, R_eq = R1 + R2 = 5Ω + 10Ω = 15Ω.

Correct Answer: A — 15Ω

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Q. If a 5Ω resistor is connected to a 10V source, what is the power dissipated? (2023)

A. 2W
B. 5W
C. 10W
D. 20W

Solution

Power P = V²/R = (10V)² / 5Ω = 100 / 5 = 20W.

Correct Answer: C — 10W

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Q. If a 5Ω resistor is connected to a 15V battery, what is the power dissipated by the resistor? (2023)

A. 15W
B. 20W
C. 25W
D. 30W

Solution

Power (P) can be calculated using P = V^2 / R. Here, P = 15V^2 / 5Ω = 45W.

Correct Answer: C — 25W

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Q. If a 6 kg object is subjected to a net force of 24 N, what is its acceleration?

A. 4 m/s²
B. 6 m/s²
C. 8 m/s²
D. 10 m/s²

Solution

Using F = ma, acceleration a = F/m = 24 N / 6 kg = 4 m/s².

Correct Answer: A — 4 m/s²

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Q. If a 60W bulb operates at 120V, what is the resistance of the bulb?

A. 240 ohms
B. 120 ohms
C. 60 ohms
D. 30 ohms

Solution

Using P = V^2 / R, R = V^2 / P = (120V)^2 / 60W = 240 ohms.

Correct Answer: B — 120 ohms

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Q. If a 60W light bulb operates at 120V, what is the resistance of the bulb?

A. 240 ohms
B. 120 ohms
C. 60 ohms
D. 30 ohms

Solution

Power (P) = V^2 / R, so R = V^2 / P = (120V)^2 / 60W = 240 ohms.

Correct Answer: B — 120 ohms

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Q. If a 6V battery is connected to a circuit with a total resistance of 3 ohms, what is the current flowing through the circuit?

A. 1A
B. 2A
C. 3A
D. 4A

Solution

Using Ohm's law, I = V/R = 6V / 3 ohms = 2A.

Correct Answer: B — 2A

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Q. If a 6Ω and a 3Ω resistor are connected in parallel, what is the equivalent resistance? (2022)

A. 2Ω
B. 4Ω
C. 1.5Ω
D. 9Ω

Solution

Using the formula for parallel resistors: 1/R_eq = 1/R1 + 1/R2 = 1/6 + 1/3 = 1/6 + 2/6 = 3/6. Therefore, R_eq = 2Ω.

Correct Answer: A — 2Ω

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Q. If a 6Ω resistor is connected in parallel with a 3Ω resistor, what is the equivalent resistance? (2023)

A. 2Ω
B. 1.5Ω
C. 4Ω
D. 9Ω

Solution

Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/6 + 1/3 = 1/6 + 2/6 = 3/6, thus R_eq = 2Ω.

Correct Answer: A — 2Ω

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Q. If a 6Ω resistor is connected to a 9V battery, what is the power dissipated by the resistor?

A. 6W
B. 9W
C. 12W
D. 15W

Solution

Power P = V^2 / R = (9V)^2 / 6Ω = 81 / 6 = 13.5W.

Correct Answer: C — 12W

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Q. If a 9V battery is connected to a 3Ω resistor, what is the current flowing through it? (2021)

A. 1A
B. 2A
C. 3A
D. 4A

Solution

Using Ohm's law, I = V/R = 9V / 3Ω = 3A.

Correct Answer: B — 2A

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Q. If a 9V battery is connected to a 3Ω resistor, what is the energy consumed in 10 seconds? (2023)

A. 30J
B. 90J
C. 60J
D. 45J

Solution

Power (P) = V²/R = 9²/3 = 27W. Energy (E) = P * t = 27W * 10s = 270J.

Correct Answer: B — 90J

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Q. If a 9V battery is connected to a 3Ω resistor, what is the power consumed by the resistor?

A. 3W
B. 9W
C. 27W
D. 1W

Solution

Power P = V^2/R = (9V)^2 / 3Ω = 81/3 = 27W.

Correct Answer: B — 9W

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Q. If a 9V battery is connected to a 3Ω resistor, what is the power dissipated in the resistor? (2023)

A. 3W
B. 9W
C. 6W
D. 12W

Solution

Power (P) can be calculated using P = V²/R = (9V)² / 3Ω = 81 / 3 = 27W.

Correct Answer: A — 3W

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Q. If a 9V battery is connected to a 3Ω resistor, what is the voltage drop across the resistor? (2023)

A. 3V
B. 6V
C. 9V
D. 12V

Solution

The voltage drop across the resistor is equal to the battery voltage, which is 9V.

Correct Answer: C — 9V

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Q. If A = (1, 0) and B = (0, 1), what is the angle between them?

A. 0 degrees
B. 90 degrees
C. 45 degrees
D. 180 degrees

Solution

Angle = cos⁻¹((A·B) / (|A||B|)) = cos⁻¹(0) = 90 degrees

Correct Answer: B — 90 degrees

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Q. If A = (1, 0, -1) and B = (0, 1, 1), what is the scalar product A · B?

A. 0
B. 1
C. -1
D. 2

Solution

A · B = 1*0 + 0*1 + (-1)*1 = 0 + 0 - 1 = -1.

Correct Answer: A — 0

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Q. If A = (1, 0, 0) and B = (0, 1, 0), what is the value of A · B?

A. 0
B. 1
C. 2
D. 3

Solution

A · B = 1*0 + 0*1 + 0*0 = 0.

Correct Answer: A — 0

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Q. If A = (1, 0, 0) and B = (0, 1, 0), what is the vector product A × B?

A. (0, 0, 1)
B. (1, 0, 0)
C. (0, 1, 0)
D. (0, 0, 0)

Solution

A × B = (0, 0, 1) using the right-hand rule.

Correct Answer: A — (0, 0, 1)

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Q. If A = (1, 1, 1) and B = (1, 1, 1), what is the scalar product A · B?

A. 1
B. 2
C. 3
D. 4

Solution

A · B = 1*1 + 1*1 + 1*1 = 3.

Correct Answer: C — 3

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Q. If A = (1, 1, 1) and B = (2, 2, 2), what is A × B?

A. (0, 0, 0)
B. (1, 1, 1)
C. (2, 2, 2)
D. (3, 3, 3)

Solution

A × B = (0, 0, 0) since A and B are parallel.

Correct Answer: A — (0, 0, 0)

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Q. If A = (1, 1, 1) and B = (2, 2, 2), what is the scalar product A · B?

A. 3
B. 6
C. 9
D. 12

Solution

A · B = 1*2 + 1*2 + 1*2 = 2 + 2 + 2 = 6.

Correct Answer: B — 6

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Q. If A = (1, 1, 1) and B = (x, y, z) such that A · B = 3, what is the value of x + y + z?

A. 1
B. 2
C. 3
D. 4

Solution

A · B = 1*x + 1*y + 1*z = x + y + z = 3.

Correct Answer: C — 3

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Q. If A = (1, 2) and B = (3, 4), what is the dot product A · B?

A. 10
B. 11
C. 12
D. 8

Solution

Dot product A · B = 1*3 + 2*4 = 3 + 8 = 11.

Correct Answer: A — 10

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Q. If A = (1, 2) and B = (3, 4), what is the midpoint M of AB?

A. (2, 3)
B. (1, 2)
C. (3, 4)
D. (4, 5)

Solution

Midpoint M = ((1+3)/2, (2+4)/2) = (2, 3).

Correct Answer: A — (2, 3)

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Q. If A = (1, 2, 3) and B = (0, 1, 0), what is the direction of the vector product A × B?

A. (2, -3, 1)
B. (3, 0, -1)
C. (1, 0, -1)
D. (1, 3, 0)

Solution

A × B = (2, -3, 1) gives direction (2, -3, 1).

Correct Answer: B — (3, 0, -1)

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Major Competitive Exams

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