Major Competitive Exams
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, what happens to the magnetic field at the center?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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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
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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
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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
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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?
A.
It remains the same
B.
It doubles
C.
It quadruples
D.
It halves
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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 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
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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 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
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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
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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 in an AC circuit is I(t) = 5√2 sin(100t + π/4), what is the RMS current? (2021)
A.
5 A
B.
2.5 A
C.
7.07 A
D.
3.54 A
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Solution
The RMS current is I_rms = I_peak / √2 = 5√2 / √2 = 5 A.
Correct Answer: B — 2.5 A
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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
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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 heat produced in the conductor? (2020)
A.
It halves
B.
It doubles
C.
It quadruples
D.
It remains the same
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Solution
The heat produced is proportional to the square of the current (H ∝ I²), so if I is doubled, heat becomes 4 times.
Correct Answer: C — It quadruples
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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
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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
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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
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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
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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
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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 current through a resistor is tripled, what happens to the power dissipated in the resistor? (2022)
A.
Increases by 3 times
B.
Increases by 9 times
C.
Remains the same
D.
Decreases by 3 times
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Solution
Power is proportional to the square of the current (P = I²R). If I is tripled, P increases by 3² = 9 times.
Correct Answer: B — Increases by 9 times
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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
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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
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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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Q. If the data set has a mean of 30 and a standard deviation of 10, what is the z-score of the value 40?
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Solution
Z-score = (X - Mean) / Standard Deviation = (40 - 30) / 10 = 1
Correct Answer: C — 2
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Q. If the data set has a mean of 30 and a standard deviation of 10, what is the z-score of a value 40?
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Solution
Z-score = (X - Mean) / Standard Deviation = (40 - 30) / 10 = 1.
Correct Answer: C — 2
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Q. If the data set has a mean of 30 and a variance of 16, what is the standard deviation?
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Solution
Standard Deviation = √Variance = √16 = 4.
Correct Answer: A — 4
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Q. If the data set has a mean of 50 and a median of 45, what can be said about the data distribution?
A.
Symmetric
B.
Positively skewed
C.
Negatively skewed
D.
Uniform
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Solution
Since the mean is greater than the median, the distribution is positively skewed.
Correct Answer: B — Positively skewed
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Q. If the data set has a mean of 50 and a standard deviation of 10, what is the z-score of the value 70?
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Solution
Z-score = (X - Mean) / Standard Deviation = (70 - 50) / 10 = 2.
Correct Answer: B — 2
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