Q. If a charge of +2μC is placed in an electric field of strength 1000 N/C, what is the force acting on the charge? (2023)
-
A.
2 N
-
B.
0.002 N
-
C.
2000 N
-
D.
0.2 N
Solution
The force (F) on a charge in an electric field is given by F = qE. Here, F = (2 * 10^-6 C)(1000 N/C) = 2 N.
Correct Answer: A — 2 N
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Q. If a charge of +2μC is placed in an electric field of strength 500 N/C, what is the force experienced by the charge? (2022)
-
A.
1000 N
-
B.
250 N
-
C.
500 N
-
D.
2000 N
Solution
The force (F) on a charge in an electric field is given by F = qE. Here, F = 2μC * 500 N/C = 1000 N.
Correct Answer: A — 1000 N
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Q. If a charge of 5 μC is placed in an electric field of 2000 N/C, what is the force experienced by the charge? (2023)
-
A.
10 N
-
B.
1 N
-
C.
0.1 N
-
D.
100 N
Solution
The force (F) on a charge in an electric field is given by F = qE. Here, F = 5 × 10^-6 C * 2000 N/C = 10 N.
Correct Answer: A — 10 N
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Q. If a circle has a circumference of 31.4 cm, what is its radius? (2022)
-
A.
5 cm
-
B.
10 cm
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C.
15 cm
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D.
20 cm
Solution
Circumference = 2πr; 31.4 = 2 * π * r; r = 31.4 / (2 * π) = 5 cm.
Correct Answer: A — 5 cm
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Q. If a circle has a circumference of 62.8 cm, what is its radius? (2018)
-
A.
10 cm
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B.
20 cm
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C.
15 cm
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D.
5 cm
Solution
Circumference = 2πr; 62.8 = 2 * π * r; r = 62.8 / (2 * π) = 10 cm.
Correct Answer: A — 10 cm
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Q. If a circle has a radius of 10 m, what is the diameter? (2021)
-
A.
5 m
-
B.
10 m
-
C.
20 m
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D.
15 m
Solution
Diameter = 2 * radius = 2 * 10 m = 20 m.
Correct Answer: C — 20 m
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Q. If a circle has a radius of 3 cm, what is its circumference? (Use π = 3.14) (2023)
-
A.
6.28 cm
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B.
9.42 cm
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C.
12.56 cm
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D.
15.70 cm
Solution
Circumference = 2πr = 2 * 3.14 * 3 = 18.84 cm.
Correct Answer: C — 12.56 cm
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Q. If a circle has a radius of 4 cm, what is its circumference? (Use π = 3.14) (2023)
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A.
12.56 cm
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B.
25.12 cm
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C.
50.24 cm
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D.
6.28 cm
Solution
Circumference = 2πr = 2 * 3.14 * 4 cm = 25.12 cm.
Correct Answer: A — 12.56 cm
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Q. If a circle has a radius of 4 cm, what is its diameter? (2022)
-
A.
4 cm
-
B.
8 cm
-
C.
12 cm
-
D.
16 cm
Solution
Diameter = 2 * radius = 2 * 4 cm = 8 cm.
Correct Answer: B — 8 cm
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Q. If a circle's radius is tripled, by what factor does the area increase? (2019)
Solution
Area = πr²; If r is tripled, new area = π(3r)² = 9πr²; Factor = 9.
Correct Answer: D — 9
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Q. If a circle's radius is tripled, how does its area change? (2021)
-
A.
Increases by 3 times
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B.
Increases by 6 times
-
C.
Increases by 9 times
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D.
Remains the same
Solution
Area = πr². If radius is tripled, new area = π(3r)² = 9πr², which is 9 times the original area.
Correct Answer: C — Increases by 9 times
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Q. If a circle's radius is tripled, how does its area change? (2023) 2023
-
A.
Increases by 3 times
-
B.
Increases by 6 times
-
C.
Increases by 9 times
-
D.
Remains the same
Solution
Area = πr². If radius is tripled, new area = π(3r)² = 9πr², which is 9 times the original area.
Correct Answer: C — Increases by 9 times
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Q. If a circuit has a resistance of 5 ohms and a current of 2 A, what is the voltage? (2014)
-
A.
10 V
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B.
5 V
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C.
2 V
-
D.
1 V
Solution
Using Ohm's Law, V = I × R = 2 A × 5 Ω = 10 V.
Correct Answer: A — 10 V
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Q. If a circuit has a total resistance of 12Ω and a current of 1.5A flows through it, what is the voltage across the circuit? (2022)
-
A.
18V
-
B.
12V
-
C.
15V
-
D.
10V
Solution
Using Ohm's law, V = IR = 1.5A * 12Ω = 18V.
Correct Answer: A — 18V
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Q. If a circuit has a total resistance of 12Ω and a current of 1.5A, what is the voltage across the circuit? (2021)
-
A.
18V
-
B.
12V
-
C.
15V
-
D.
10V
Solution
Using Ohm's law, V = IR = 1.5A * 12Ω = 18V.
Correct Answer: A — 18V
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Q. If a circuit has a total resistance of 12Ω and a current of 3A flows through it, what is the voltage across the circuit? (2020)
-
A.
36V
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B.
12V
-
C.
4V
-
D.
24V
Solution
Using Ohm's law, V = IR = 3A * 12Ω = 36V.
Correct Answer: A — 36V
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Q. If a circuit has a total resistance of 12Ω and a current of 4A, what is the voltage across the circuit? (2023)
-
A.
48V
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B.
36V
-
C.
24V
-
D.
12V
Solution
Using Ohm's law, V = IR = 4A * 12Ω = 48V.
Correct Answer: A — 48V
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Q. If a circuit has a total resistance of 5Ω and a current of 2A, what is the voltage across the circuit? (2022)
Solution
Using Ohm's law, V = I * R = 2A * 5Ω = 10V.
Correct Answer: A — 10V
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Q. If a circuit has a total resistance of 8Ω and a current of 4A, what is the voltage across the circuit? (2023)
-
A.
32V
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B.
24V
-
C.
16V
-
D.
12V
Solution
Using Ohm's law, V = IR = 4A * 8Ω = 32V.
Correct Answer: A — 32V
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Q. If a coin is tossed twice, what is the probability of getting at least one head?
-
A.
1/4
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B.
1/2
-
C.
3/4
-
D.
1
Solution
Total outcomes = 4 (HH, HT, TH, TT). Outcomes with at least one head = 3. Probability = 3/4.
Correct Answer: C — 3/4
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Q. If a die is rolled, what is the probability of getting an even number? (2022)
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A.
1/2
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B.
1/3
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C.
1/6
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D.
2/3
Solution
Even numbers on a die = 2, 4, 6. Probability = 3/6 = 1/2.
Correct Answer: A — 1/2
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Q. If a force of 10 N is applied to a mass of 2 kg, what is the acceleration of the mass? (2020)
-
A.
2 m/s²
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B.
5 m/s²
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C.
10 m/s²
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D.
20 m/s²
Solution
Using F = ma, acceleration a = F/m = 10 N / 2 kg = 5 m/s².
Correct Answer: B — 5 m/s²
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Q. If a force of 10 N is applied to move an object 3 m in the direction of the force, what is the work done?
-
A.
30 J
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B.
10 J
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C.
3 J
-
D.
0 J
Solution
Work done = Force * Distance = 10 N * 3 m = 30 J.
Correct Answer: A — 30 J
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Q. If a force of 15 N is applied to a 3 kg object, what is the net force acting on the object if it is already moving with a velocity of 5 m/s? (2022)
-
A.
15 N
-
B.
3 N
-
C.
0 N
-
D.
18 N
Solution
The net force is still 15 N as it does not depend on the velocity of the object.
Correct Answer: A — 15 N
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Q. If a force of 15 N is applied to a mass of 3 kg, what is the acceleration of the mass? (2023)
-
A.
3 m/s²
-
B.
4 m/s²
-
C.
5 m/s²
-
D.
6 m/s²
Solution
Using F = ma, a = F/m = 15 N / 3 kg = 5 m/s².
Correct Answer: B — 4 m/s²
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Q. If a force of 20 N moves an object 5 m in the direction of the force, what is the work done?
-
A.
100 J
-
B.
50 J
-
C.
20 J
-
D.
200 J
Solution
Work = Force * Distance = 20 N * 5 m = 100 J.
Correct Answer: A — 100 J
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Q. If a line has the equation 7x - 3y + 21 = 0, what is its slope?
-
A.
7/3
-
B.
-7/3
-
C.
3/7
-
D.
-3/7
Solution
Rearranging gives y = (7/3)x + 7. The slope is -7/3.
Correct Answer: B — -7/3
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Q. If a line has the equation 7x - 3y = 21, what is its slope?
-
A.
7/3
-
B.
-7/3
-
C.
3/7
-
D.
-3/7
Solution
Rearranging to slope-intercept form gives y = (7/3)x - 7. The slope is -7/3.
Correct Answer: B — -7/3
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Q. If a line has the equation y - 3 = 4(x - 1), what is its slope?
-
A.
4
-
B.
1/4
-
C.
-4
-
D.
-1/4
Solution
The equation is in point-slope form, where the slope m = 4.
Correct Answer: A — 4
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Q. If a line has the equation y = -3x + 7, what is the y-coordinate when x = 2?
Solution
Substituting x = 2 into the equation gives y = -3(2) + 7 = 1.
Correct Answer: B — 4
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