Q. If A = 1, B = 1, and C = 0, what is the output of the expression (A OR B) AND C?
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Solution
First, evaluate A OR B, which is 1 OR 1 = 1. Then, 1 AND 0 = 0.
Correct Answer: A — 0
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Q. If a battery provides a voltage of 9 V and is connected to a circuit with a total resistance of 3 ohms, what is the power consumed by the circuit?
A.
27 W
B.
18 W
C.
9 W
D.
3 W
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Solution
Power P = V^2 / R. Here, P = 9^2 / 3 = 81 / 3 = 27 W.
Correct Answer: B — 18 W
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Q. If a beam of light passes through a prism with an angle of 60 degrees and the refractive index of the prism is √3, what is the angle of minimum deviation?
A.
30 degrees
B.
60 degrees
C.
45 degrees
D.
15 degrees
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Solution
Using the formula for minimum deviation, D = (n - 1)A. Here, n = √3 and A = 60 degrees. Thus, D = (√3 - 1) * 60 degrees, which approximates to 30 degrees.
Correct Answer: A — 30 degrees
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Q. If a block is on a horizontal surface and a force is applied at an angle, how does this affect the normal force acting on the block?
A.
Increases normal force
B.
Decreases normal force
C.
No effect on normal force
D.
Depends on the angle
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Solution
Applying a force at an angle reduces the normal force because part of the applied force acts vertically upward, counteracting the weight of the block.
Correct Answer: B — Decreases normal force
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Q. If a boat can travel 20 km upstream in 4 hours, what is the speed of the current if the speed of the boat in still water is 10 km/h?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
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Solution
Speed upstream = distance/time = 20/4 = 5 km/h. Speed of current = speed of boat - speed upstream = 10 - 5 = 5 km/h.
Correct Answer: A — 2 km/h
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Q. If a boat can travel at 15 km/h in still water and the current is 5 km/h, what is the speed of the boat upstream?
A.
10 km/h
B.
15 km/h
C.
20 km/h
D.
25 km/h
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Solution
Speed upstream = speed of boat - speed of current = 15 - 5 = 10 km/h.
Correct Answer: A — 10 km/h
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Q. If a body has a moment of inertia of 15 kg m² and is subjected to a torque of 5 N m, what is its angular acceleration?
A.
0.33 rad/s²
B.
0.5 rad/s²
C.
1 rad/s²
D.
3 rad/s²
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Solution
Angular acceleration α = τ/I = 5 N m / 15 kg m² = 0.33 rad/s².
Correct Answer: A — 0.33 rad/s²
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Q. If a body is moving in a circular path with a constant speed, which of the following statements is true?
A.
The body is in equilibrium
B.
The net force acting on the body is zero
C.
The body experiences a centripetal force
D.
The body has no acceleration
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Solution
A body moving in a circular path with constant speed experiences a centripetal force directed towards the center of the circle.
Correct Answer: C — The body experiences a centripetal force
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Q. If a body is moving in a circular path with a radius of 10 m and completes one full revolution in 5 seconds, what is its angular velocity?
A.
0.2 rad/s
B.
1.25 rad/s
C.
2 rad/s
D.
4 rad/s
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Solution
Angular velocity (ω) = 2π/T = 2π/5 = 1.25 rad/s.
Correct Answer: B — 1.25 rad/s
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Q. If a body is moving in a circular path with uniform speed, which of the following statements is true?
A.
The body has no acceleration
B.
The body has constant velocity
C.
The body experiences centripetal acceleration
D.
The body moves in a straight line
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Solution
The body experiences centripetal acceleration directed towards the center of the circle.
Correct Answer: C — The body experiences centripetal acceleration
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Q. If a body is moving in a straight line and no external torque acts on it, what can be said about its angular momentum?
A.
It is zero
B.
It is constant
C.
It increases
D.
It decreases
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Solution
Angular momentum remains constant if no external torque acts.
Correct Answer: B — It is constant
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Q. If a body is rotating with an angular momentum L and its moment of inertia is halved, what will be the new angular momentum if the angular velocity remains constant?
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Solution
Angular momentum L = Iω; if I is halved and ω remains constant, L remains L.
Correct Answer: A — L
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Q. If a body moves in a circular path with a constant speed, which of the following statements is true?
A.
The body has zero acceleration
B.
The body has constant acceleration
C.
The body has uniform velocity
D.
The body experiences centripetal acceleration
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Solution
The body experiences centripetal acceleration directed towards the center of the circle.
Correct Answer: D — The body experiences centripetal acceleration
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Q. If a capacitor has a capacitance of 10 µF and is charged to 5 V, what is the charge on the capacitor?
A.
50 µC
B.
5 µC
C.
2 µC
D.
10 µC
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Solution
The charge (Q) on a capacitor is given by Q = C * V. Here, Q = 10 µF * 5 V = 50 µC.
Correct Answer: A — 50 µC
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Q. If a capacitor is charged and then short-circuited, what happens to the charge on the capacitor?
A.
It remains the same
B.
It is discharged
C.
It increases
D.
It becomes zero
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Solution
When a charged capacitor is short-circuited, the charge flows through the circuit, and the charge on the capacitor becomes zero.
Correct Answer: B — It is discharged
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Q. If a capacitor is charged to a voltage V and then connected in parallel with an uncharged capacitor, what will be the final voltage across both capacitors?
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Solution
When connected in parallel, charge redistributes, and the final voltage across both capacitors will be V/2.
Correct Answer: B — V/2
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Q. If a capacitor is charged to a voltage V and then connected to a resistor R, what is the time constant of the circuit?
A.
RC
B.
R/C
C.
C/R
D.
1/RC
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Solution
The time constant τ of an RC circuit is given by τ = R * C.
Correct Answer: A — RC
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Q. If a capacitor is charged to a voltage V and then short-circuited, what happens to the charge on the capacitor?
A.
It remains the same
B.
It becomes zero
C.
It doubles
D.
It halves
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Solution
Short-circuiting a capacitor allows charge to flow off, resulting in the charge becoming zero.
Correct Answer: B — It becomes zero
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Q. If a capacitor is charged to a voltage V and then short-circuited, what happens to the energy stored in the capacitor?
A.
It is conserved
B.
It is dissipated as heat
C.
It increases
D.
It becomes zero
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Solution
When a capacitor is short-circuited, the stored energy is dissipated as heat in the circuit.
Correct Answer: B — It is dissipated as heat
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Q. If a capacitor is connected to a DC voltage source, what will happen to the current over time?
A.
It remains constant
B.
It increases
C.
It decreases to zero
D.
It oscillates
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Solution
In a DC circuit, the current through a capacitor decreases to zero as it becomes fully charged.
Correct Answer: C — It decreases to zero
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Q. If a capacitor is connected to an AC source, how does the current behave?
A.
It is constant
B.
It leads the voltage
C.
It lags the voltage
D.
It is zero
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Solution
In an AC circuit, the current through a capacitor leads the voltage by 90 degrees.
Correct Answer: B — It leads the voltage
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Q. If a capacitor is fully charged and then short-circuited, what happens to the stored energy?
A.
It is released as heat
B.
It is stored in the circuit
C.
It remains in the capacitor
D.
It is lost
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Solution
When a charged capacitor is short-circuited, the stored energy is released as heat due to the current flow.
Correct Answer: A — It is released as heat
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Q. If a capacitor is fully discharged and then connected to a voltage source, what is the initial current through the circuit?
A.
Zero
B.
Maximum
C.
Depends on resistance
D.
Infinite
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Solution
When a capacitor is fully discharged and connected to a voltage source, the initial current is maximum as it starts charging.
Correct Answer: B — Maximum
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Q. If a capacitor of capacitance 4μF is connected to a 12V battery, what is the charge on the capacitor?
A.
48μC
B.
12μC
C.
4μC
D.
24μC
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Solution
Charge (Q) on a capacitor is given by Q = C * V. Here, Q = 4μF * 12V = 48μC.
Correct Answer: A — 48μC
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Q. If a capacitor of capacitance C is charged to a voltage V, what is the energy stored in the capacitor?
A.
1/2 CV^2
B.
CV
C.
V^2 / C
D.
C / V
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Solution
The energy (U) stored in a capacitor is given by the formula U = 1/2 CV^2.
Correct Answer: A — 1/2 CV^2
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Q. If a capacitor of capacitance C is connected to a voltage source V, what is the charge on the capacitor?
A.
C/V
B.
V/C
C.
CV
D.
V^2/C
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Solution
The charge (Q) on a capacitor is given by Q = CV when connected to a voltage source V.
Correct Answer: C — CV
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Q. If a capacitor with capacitance C is connected to a voltage V, what is the charge stored in the capacitor?
A.
C/V
B.
V/C
C.
C * V
D.
C + V
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Solution
The charge (Q) stored in a capacitor is given by the formula Q = C * V.
Correct Answer: C — C * V
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Q. If a capillary tube has a radius of 0.5 mm and the surface tension of the liquid is 0.072 N/m, what is the height of the liquid column in the tube? (Assume density = 1000 kg/m³)
A.
0.0144 m
B.
0.072 m
C.
0.0288 m
D.
0.036 m
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Solution
Height = (2 × Surface Tension) / (Density × g × Radius) = (2 × 0.072 N/m) / (1000 kg/m³ × 9.81 m/s² × 0.0005 m) = 0.0144 m.
Correct Answer: A — 0.0144 m
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Q. If a car accelerates from rest to 20 m/s in 5 seconds, what is its acceleration?
A.
2 m/s²
B.
4 m/s²
C.
5 m/s²
D.
10 m/s²
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Solution
Acceleration a = (final velocity - initial velocity) / time = (20 m/s - 0) / 5 s = 4 m/s².
Correct Answer: B — 4 m/s²
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Q. If a car engine has a power output of 150 kW, how much work can it do in 2 minutes?
A.
18000 J
B.
9000 J
C.
30000 J
D.
180000 J
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Solution
Power is the rate of doing work. Work done can be calculated as W = P * t. Here, P = 150 kW = 150000 W and t = 2 minutes = 120 seconds. Thus, W = 150000 W * 120 s = 18000000 J.
Correct Answer: D — 180000 J
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