Q. If the critical angle for a certain material is 45°, what is the refractive index of that material?
A.
1.41
B.
1.00
C.
1.73
D.
0.71
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Solution
Using the formula n = 1/sin(θc), where θc = 45°, we find n = 1/sin(45°) = 1/0.7071 ≈ 1.41.
Correct Answer: A — 1.41
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Q. If the cross-sectional area of a wire is doubled, how does its resistance change?
A.
Doubles
B.
Halves
C.
Remains the same
D.
Increases four times
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Solution
Resistance is inversely proportional to cross-sectional area; doubling the area halves the resistance.
Correct Answer: B — Halves
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Q. If the cross-sectional area of a wire is doubled, what happens to its resistance?
A.
Doubles
B.
Halves
C.
Remains the same
D.
Increases four times
Show solution
Solution
Resistance (R) is inversely proportional to cross-sectional area (A). Doubling A halves the resistance.
Correct Answer: B — Halves
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Q. If the current in a circuit is 5 A and the resistance is 2 ohms, what is the power consumed in the circuit?
A.
10 W
B.
25 W
C.
5 W
D.
2.5 W
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Solution
Power (P) can be calculated using P = I^2R = (5 A)^2 * 2 Ω = 25 W.
Correct Answer: B — 25 W
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Q. If the current in a circuit is doubled while the resistance remains constant, what happens to the voltage?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
According to Ohm's Law, if the current (I) is doubled and resistance (R) remains constant, the voltage (V) must also double.
Correct Answer: A — It doubles
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Q. If the current in a circuit is halved, what happens to the power consumed by the circuit?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
Power P = I^2 * R. If I is halved, P becomes (1/2)^2 * R = 1/4 * P, so the power is reduced to a quarter, which means it halves.
Correct Answer: B — It halves
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Q. If the current in a circuit is split into two branches with resistances R1 = 2Ω and R2 = 4Ω, what is the current through R1 if the total current is 6A?
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Solution
Using the current division rule, I1 = I_total * (R2 / (R1 + R2)) = 6A * (4Ω / (2Ω + 4Ω)) = 6A * (4/6) = 4A.
Correct Answer: B — 3A
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Q. If the current in a circular loop is doubled, how does the magnetic field at the center change?
A.
Remains the same
B.
Doubles
C.
Halves
D.
Quadruples
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Solution
The magnetic field at the center of a loop is directly proportional to the current.
Correct Answer: B — Doubles
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Q. If the current in a circular loop is doubled, how does the magnetic field at the center of the loop change?
A.
It remains the same
B.
It doubles
C.
It quadruples
D.
It halves
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Solution
The magnetic field at the center of a circular loop is directly proportional to the current; thus, if the current is doubled, the magnetic field also doubles.
Correct Answer: B — It doubles
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Q. If the current in a circular loop is doubled, what happens to the magnetic field at the center?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
The magnetic field at the center of the loop is directly proportional to the current.
Correct Answer: A — It doubles
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Q. If the current in a circular loop is increased, what happens to the magnetic field at the center of the loop?
A.
It decreases
B.
It increases
C.
It remains the same
D.
It becomes zero
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Solution
According to the Biot-Savart Law, increasing the current in a circular loop increases the magnetic field at the center of the loop.
Correct Answer: B — It increases
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Q. If the current in a circular loop is reversed, what happens to the direction of the magnetic field at the center of the loop?
A.
It remains the same
B.
It reverses
C.
It doubles
D.
It becomes zero
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Solution
Reversing the current in a circular loop reverses the direction of the magnetic field at the center.
Correct Answer: B — It reverses
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Q. If the current in a coil is doubled, the magnetic field strength around the coil will?
A.
Double
B.
Halve
C.
Remain the same
D.
Increase by four times
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Solution
The magnetic field strength around a coil is directly proportional to the current, so if the current is doubled, the magnetic field strength will also double.
Correct Answer: A — Double
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Q. If the current in a coil is reversed, what happens to the direction of the magnetic field produced by the coil?
A.
It remains the same
B.
It reverses
C.
It increases
D.
It decreases
Show solution
Solution
Reversing the current in a coil reverses the direction of the magnetic field produced.
Correct Answer: B — It reverses
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Q. If the current in a solenoid is doubled, what happens to the magnetic field inside the solenoid?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
The magnetic field inside a solenoid is directly proportional to the current.
Correct Answer: A — It doubles
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Q. If the current in a wire is doubled, how does the magnetic field at a point 1 meter away change?
A.
It doubles
B.
It quadruples
C.
It remains the same
D.
It halves
Show solution
Solution
The magnetic field is directly proportional to the current, so it doubles.
Correct Answer: A — It doubles
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Q. If the current in a wire is doubled, how does the magnetic field at a point 5 cm away from the wire change?
A.
It doubles
B.
It quadruples
C.
It remains the same
D.
It halves
Show solution
Solution
According to Biot-Savart Law, the magnetic field is directly proportional to the current. Therefore, if the current is doubled, the magnetic field also doubles.
Correct Answer: A — It doubles
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Q. If the current in a wire is doubled, how does the magnetic field at a point near the wire change according to Ampere's Law?
A.
It remains the same
B.
It doubles
C.
It quadruples
D.
It halves
Show solution
Solution
According to Ampere's Law, the magnetic field is directly proportional to the current, so doubling the current will double the magnetic field.
Correct Answer: B — It doubles
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Q. If the current in a wire is doubled, how does the magnetic field at a point near the wire change?
A.
It remains the same
B.
It doubles
C.
It quadruples
D.
It halves
Show solution
Solution
According to the Biot-Savart Law, the magnetic field is directly proportional to the current, so if the current is doubled, the magnetic field also doubles.
Correct Answer: B — It doubles
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Q. If the current in a wire is reversed, what happens to the direction of the magnetic field around it?
A.
It remains the same
B.
It reverses
C.
It doubles
D.
It becomes zero
Show solution
Solution
Reversing the current in a wire also reverses the direction of the magnetic field around it.
Correct Answer: B — It reverses
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Q. If the current in a wire is reversed, what happens to the direction of the magnetic field around the wire?
A.
It remains the same
B.
It reverses direction
C.
It becomes zero
D.
It doubles in strength
Show solution
Solution
Reversing the current in a wire reverses the direction of the magnetic field around it.
Correct Answer: B — It reverses direction
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Q. If the current through a 10Ω resistor is 2A, what is the voltage across the resistor?
A.
5V
B.
10V
C.
20V
D.
30V
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Solution
Using Ohm's law, V = I * R = 2A * 10Ω = 20V.
Correct Answer: C — 20V
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Q. If the current through a conductor is doubled while the resistance remains constant, what happens to the power consumed?
A.
It doubles
B.
It triples
C.
It remains the same
D.
It halves
Show solution
Solution
Power P = I^2 * R. If I is doubled, P becomes (2I)^2 * R = 4I^2 * R, which is four times the original power.
Correct Answer: A — It doubles
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Q. If the current through a conductor is doubled, what happens to the power dissipated in the conductor?
A.
It doubles
B.
It quadruples
C.
It remains the same
D.
It halves
Show solution
Solution
Power P = I^2 * R. If I is doubled, P becomes (2I)^2 * R = 4I^2 * R, which is quadrupled.
Correct Answer: B — It quadruples
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Q. If the current through a conductor is doubled, what happens to the resistance if the voltage remains constant?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
According to Ohm's law, V = I * R. If V is constant and I is doubled, R must halve to maintain the equation.
Correct Answer: B — It halves
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Q. If the current through a resistor is 3A and the resistance is 4Ω, what is the voltage across the resistor?
A.
6V
B.
9V
C.
12V
D.
15V
Show solution
Solution
Using Ohm's law, V = I * R = 3A * 4Ω = 12V.
Correct Answer: C — 12V
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Q. If the current through a resistor is doubled, what happens to the power consumed by the resistor?
A.
Increases by 2 times
B.
Increases by 4 times
C.
Remains the same
D.
Decreases by 2 times
Show solution
Solution
Power P = I^2 * R. If I is doubled, P becomes (2I)^2 * R = 4I^2 * R, which is 4 times the original power.
Correct Answer: B — Increases by 4 times
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Q. If the current through a resistor is doubled, what happens to the power dissipated in the resistor?
A.
It halves
B.
It doubles
C.
It quadruples
D.
It remains the same
Show solution
Solution
Power P = I^2 * R. If I is doubled, P becomes (2I)^2 * R = 4I^2 * R, which is quadrupled.
Correct Answer: C — It quadruples
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Q. If the damping ratio of a system is greater than 1, what type of damping is present?
A.
Underdamped
B.
Critically damped
C.
Overdamped
D.
Free oscillation
Show solution
Solution
A damping ratio greater than 1 indicates overdamped behavior in the system.
Correct Answer: C — Overdamped
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Q. If the data set has a mean of 30 and a median of 25, what does this indicate?
A.
Data is symmetrical
B.
Data is positively skewed
C.
Data is negatively skewed
D.
Data is uniform
Show solution
Solution
Since the mean is greater than the median, the data is positively skewed.
Correct Answer: B — Data is positively skewed
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