Q. If two equal and opposite forces are applied at the ends of a lever arm, what is the net torque about the center?
A.
Zero
B.
Equal to the force
C.
Depends on the distance
D.
Twice the force
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Solution
The net torque is zero because the forces are equal and opposite, producing no rotational effect.
Correct Answer:
A
— Zero
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Q. If two forces of 10 N and 15 N act in the same direction on an object, what is the resultant force?
A.
5 N
B.
10 N
C.
15 N
D.
25 N
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Solution
The resultant force is the sum of the two forces: 10 N + 15 N = 25 N.
Correct Answer:
D
— 25 N
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Q. If two forces of 10 N and 15 N act on an object in the same direction, what is the net force acting on the object?
A.
5 N
B.
10 N
C.
15 N
D.
25 N
Show solution
Solution
Net force = 10 N + 15 N = 25 N.
Correct Answer:
D
— 25 N
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Q. If two forces of 10 N and 5 N act in the same direction on an object, what is the net force?
A.
15 N
B.
5 N
C.
10 N
D.
20 N
Show solution
Solution
The net force is the sum of the forces: 10 N + 5 N = 15 N.
Correct Answer:
A
— 15 N
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Q. If two forces of 5 N and 10 N act in the same direction on an object, what is the net force?
A.
15 N
B.
5 N
C.
10 N
D.
0 N
Show solution
Solution
Net force = 5 N + 10 N = 15 N.
Correct Answer:
A
— 15 N
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Q. If two forces of 5 N and 10 N are applied at the same distance from a pivot, which force produces more torque?
A.
5 N
B.
10 N
C.
Both produce the same torque
D.
It depends on the angle of application
Show solution
Solution
Torque is directly proportional to the force applied; hence, the 10 N force produces more torque.
Correct Answer:
B
— 10 N
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Q. If two forces of 5 N and 3 N act in the same direction, what is the resultant force?
A.
2 N
B.
5 N
C.
8 N
D.
10 N
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Solution
Resultant force = 5 N + 3 N = 8 N.
Correct Answer:
C
— 8 N
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Q. If two forces of equal magnitude are applied at different distances from a pivot, which will produce a greater torque?
A.
The force applied further away
B.
The force applied closer
C.
Both produce equal torque
D.
It depends on the angle
Show solution
Solution
Torque is greater when the force is applied further away from the pivot, given equal magnitudes.
Correct Answer:
A
— The force applied further away
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Q. If two forces of equal magnitude are applied at opposite ends of a lever arm, what is the net torque about the center?
A.
Zero
B.
Equal to the force
C.
Twice the force
D.
Depends on the distance
Show solution
Solution
The net torque is zero because the torques produced by the two forces cancel each other out.
Correct Answer:
A
— Zero
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Q. If two identical capacitors of 4 µF each are connected in series, what is the equivalent capacitance?
A.
2 µF
B.
4 µF
C.
6 µF
D.
8 µF
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Solution
C_eq = 1 / (1/C1 + 1/C2) = 1 / (1/4 + 1/4) = 2 µF.
Correct Answer:
A
— 2 µF
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Q. If two identical charges are brought closer together, what happens to the potential energy of the system?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
As the charges are brought closer, the potential energy of the system increases due to the repulsive force between like charges.
Correct Answer:
A
— Increases
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Q. If two identical charges are placed 1 m apart, what will be the electric field at a point midway between them? (2019)
A.
0 N/C
B.
kq/2
C.
kq
D.
2kq
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Solution
The electric fields due to both charges at the midpoint will cancel each other, resulting in a net electric field of 0 N/C.
Correct Answer:
A
— 0 N/C
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Q. If two identical charges are placed 1 meter apart, what happens to the force between them if the distance is doubled?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
According to Coulomb's law, force is inversely proportional to the square of the distance. If the distance is doubled, the force becomes one-fourth.
Correct Answer:
B
— It halves
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Q. If two identical charges are placed 1m apart, what is the electric field at a point midway between them?
A.
0 N/C
B.
kq/2
C.
kq
D.
2kq
Show solution
Solution
The electric fields due to both charges at the midpoint cancel each other, resulting in a net electric field of 0.
Correct Answer:
A
— 0 N/C
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Q. If two identical charges are placed at a distance of 1m apart, what is the electric field at a point midway between them?
A.
0 N/C
B.
kq/2
C.
kq
D.
kq/4
Show solution
Solution
The electric fields due to both charges at the midpoint cancel each other, resulting in a net electric field of 0 N/C.
Correct Answer:
A
— 0 N/C
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Q. If two identical charges are placed at a distance of 1m, what is the potential energy of the system?
A.
0.5 J
B.
1 J
C.
2 J
D.
4 J
Show solution
Solution
Potential energy U = k * q1 * q2 / r = (9 × 10^9 N m²/C²) * (q²) / 1m. For q = 1μC, U = 1 J.
Correct Answer:
B
— 1 J
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Q. If two identical disks are stacked on top of each other, what is the moment of inertia about the axis of the bottom disk?
A.
MR^2
B.
2MR^2
C.
1/2 MR^2
D.
4MR^2
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Solution
The moment of inertia of the bottom disk is MR^2, and the top disk contributes an additional MR^2 due to the parallel axis theorem, giving a total of 2MR^2.
Correct Answer:
B
— 2MR^2
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Q. If two intersecting lines form an angle of 40 degrees, what is the measure of the vertically opposite angle? (2023)
A.
40 degrees
B.
60 degrees
C.
80 degrees
D.
100 degrees
Show solution
Solution
Vertically opposite angles are equal. Therefore, the vertically opposite angle is also 40 degrees.
Correct Answer:
A
— 40 degrees
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Q. If two linear equations are represented as ax + by = c and dx + ey = f, under what condition will they be parallel?
A.
If a/e = b/d
B.
If a/d = b/e
C.
If a/b = c/f
D.
If c/f = d/e
Show solution
Solution
Two lines are parallel if their slopes are equal, which occurs when a/d = b/e.
Correct Answer:
B
— If a/d = b/e
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Q. If two linear equations are represented by the lines y = 2x + 1 and y = 2x - 3, what can be inferred about their relationship?
A.
They intersect at one point.
B.
They are parallel.
C.
They coincide.
D.
They are perpendicular.
Show solution
Solution
Both lines have the same slope (2) but different y-intercepts, indicating they are parallel.
Correct Answer:
B
— They are parallel.
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Q. If two linear equations are represented by the lines y = 2x + 3 and y = 2x - 1, what can be inferred about their relationship?
A.
They intersect at one point.
B.
They are parallel lines.
C.
They are the same line.
D.
They intersect at infinitely many points.
Show solution
Solution
Both lines have the same slope (2) but different y-intercepts, indicating they are parallel.
Correct Answer:
B
— They are parallel lines.
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Q. If two linear equations have the same slope but different y-intercepts, what can be inferred about their graphs?
A.
They are identical lines.
B.
They are parallel lines.
C.
They intersect at one point.
D.
They intersect at infinitely many points.
Show solution
Solution
Lines with the same slope but different y-intercepts are parallel and will never intersect.
Correct Answer:
B
— They are parallel lines.
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Q. If two lines are cut by a transversal and the corresponding angles are equal, what can be said about the two lines? (2020)
A.
They are parallel
B.
They are perpendicular
C.
They intersect
D.
They are skew lines
Show solution
Solution
If the corresponding angles are equal, it indicates that the two lines are parallel.
Correct Answer:
A
— They are parallel
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Q. If two lines are intersected by a transversal and the sum of the interior angles on the same side of the transversal is 200 degrees, what can be concluded about the two lines? (2022)
A.
They are parallel
B.
They are perpendicular
C.
They intersect
D.
They are skew lines
Show solution
Solution
If the sum of the interior angles on the same side of the transversal is greater than 180 degrees, the two lines must intersect.
Correct Answer:
C
— They intersect
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Q. If two lines are parallel, what can be said about the alternate interior angles?
A.
They are equal
B.
They are supplementary
C.
They are complementary
D.
They are congruent
Show solution
Solution
When two parallel lines are cut by a transversal, the alternate interior angles are equal.
Correct Answer:
A
— They are equal
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Q. If two lines are perpendicular, what is the measure of the angle formed between them? (2019)
A.
45 degrees
B.
90 degrees
C.
180 degrees
D.
60 degrees
Show solution
Solution
Perpendicular lines intersect at right angles, which measure 90 degrees.
Correct Answer:
B
— 90 degrees
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Q. If two lines are perpendicular, what is the measure of the angles formed?
A.
45 degrees
B.
90 degrees
C.
180 degrees
D.
60 degrees
Show solution
Solution
Perpendicular lines intersect at right angles, which measure 90 degrees.
Correct Answer:
B
— 90 degrees
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Q. If two lines intersect and form angles of 120 degrees and x degrees, what is the value of x? (2022)
A.
60 degrees
B.
120 degrees
C.
90 degrees
D.
180 degrees
Show solution
Solution
The angles formed by intersecting lines are supplementary. Therefore, 120 + x = 180, which gives x = 60 degrees.
Correct Answer:
A
— 60 degrees
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Q. If two lines intersect and form angles of 40 degrees and x degrees, what is the value of x?
A.
40 degrees
B.
140 degrees
C.
180 degrees
D.
60 degrees
Show solution
Solution
The angles formed by intersecting lines are supplementary. Therefore, x = 180 - 40 = 140 degrees.
Correct Answer:
B
— 140 degrees
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Q. If two lines intersect and one of the angles formed is 120 degrees, what is the measure of the vertically opposite angle? (2022)
A.
60 degrees
B.
120 degrees
C.
90 degrees
D.
180 degrees
Show solution
Solution
Vertically opposite angles are equal. Therefore, the vertically opposite angle is also 120 degrees.
Correct Answer:
B
— 120 degrees
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