Physics Syllabus (JEE Main)
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 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 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 density of a substance is calculated as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the relative uncertainty?
A.
0.025
B.
0.02
C.
0.005
D.
0.01
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Solution
Relative uncertainty = (absolute uncertainty / density) = 0.2 / 8.0 = 0.025.
Correct Answer: B — 0.02
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Q. If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the range of possible densities?
A.
7.8 to 8.2 g/cm³
B.
7.5 to 8.5 g/cm³
C.
8.0 to 8.4 g/cm³
D.
8.0 to 8.2 g/cm³
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Solution
Range = 8.0 ± 0.2 gives 7.8 to 8.2 g/cm³.
Correct Answer: A — 7.8 to 8.2 g/cm³
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Q. If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the absolute error in the volume calculated from this density?
A.
0.025 cm³
B.
0.1 cm³
C.
0.2 cm³
D.
0.5 cm³
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Solution
Volume = mass/density; if mass is constant, the absolute error in volume = (mass * absolute error in density) / (density²).
Correct Answer: A — 0.025 cm³
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Q. If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.1 g/cm³, what is the fractional error in the density?
A.
0.0125
B.
0.01
C.
0.005
D.
0.02
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Solution
Fractional error = (absolute error / measured value) = 0.1 / 8.0 = 0.0125.
Correct Answer: B — 0.01
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Q. If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.1 g/cm³, what is the absolute error in the density?
A.
0.1 g/cm³
B.
0.01 g/cm³
C.
0.5 g/cm³
D.
0.2 g/cm³
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Solution
The absolute error is given directly as ±0.1 g/cm³.
Correct Answer: A — 0.1 g/cm³
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Q. If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the relative uncertainty in the density?
A.
0.025
B.
0.02
C.
0.005
D.
0.1
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Solution
Relative uncertainty = (absolute uncertainty / measured value) = 0.2 / 8.0 = 0.025.
Correct Answer: B — 0.02
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Q. If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.5 g/cm³, what is the range of possible values for the density?
A.
7.5 to 8.5 g/cm³
B.
8.0 to 8.5 g/cm³
C.
8.0 to 9.0 g/cm³
D.
7.0 to 9.0 g/cm³
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Solution
Range = (8.0 - 0.5) to (8.0 + 0.5) = 7.5 to 8.5 g/cm³.
Correct Answer: A — 7.5 to 8.5 g/cm³
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Q. If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.1 g/cm³, what is the relative uncertainty in the density?
A.
0.0125
B.
0.01
C.
0.005
D.
0.02
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Solution
Relative uncertainty = (absolute uncertainty / measured value) = 0.1 / 8.0 = 0.0125.
Correct Answer: B — 0.01
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Q. If the distance between the object and the image formed by a lens is 70 cm, and the object distance is 30 cm, what is the image distance?
A.
40 cm
B.
50 cm
C.
60 cm
D.
70 cm
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Solution
Image distance (v) = Object distance (u) + Distance between object and image = 30 cm + 70 cm = 40 cm.
Correct Answer: A — 40 cm
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Q. If the distance between the plates of a capacitor is doubled, what happens to its capacitance?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
Capacitance is inversely proportional to the distance between the plates. If the distance d is doubled, the capacitance C becomes C/2.
Correct Answer: B — It halves
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Q. If the distance between the plates of a capacitor is halved, what happens to its capacitance?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
Capacitance is inversely proportional to the distance between the plates. If the distance is halved, the capacitance doubles.
Correct Answer: A — It doubles
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Q. If the distance between the slits in a double-slit experiment is increased, what happens to the interference pattern?
A.
Fringe width increases
B.
Fringe width decreases
C.
Fringe intensity increases
D.
Fringe intensity decreases
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Solution
Increasing the distance between the slits decreases the fringe width, as fringe width is inversely proportional to the slit separation.
Correct Answer: B — Fringe width decreases
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Q. If the distance between two charges is doubled, how does the electrostatic force between them change?
A.
It doubles
B.
It halves
C.
It quadruples
D.
It reduces to one-fourth
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Solution
According to Coulomb's law, F ∝ 1/r^2. If r is doubled, F becomes F/4.
Correct Answer: D — It reduces to one-fourth
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Q. If the distance between two charges is doubled, how does the force between them change?
A.
It doubles
B.
It halves
C.
It quadruples
D.
It reduces to one-fourth
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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 reduces to one-fourth.
Correct Answer: D — It reduces to one-fourth
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Q. If the distance between two charges is halved, how does the force between them change?
A.
It doubles
B.
It quadruples
C.
It remains the same
D.
It halves
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Solution
According to Coulomb's law, the force F between two charges is inversely proportional to the square of the distance. If the distance is halved, the force becomes four times greater.
Correct Answer: B — It quadruples
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Q. If the distance between two charges is halved, what happens to the force between them?
A.
It doubles
B.
It halves
C.
It quadruples
D.
It remains the same
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Solution
According to Coulomb's law, F ∝ 1/r^2; halving the distance increases the force by a factor of 4.
Correct Answer: C — It quadruples
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Q. If the distance between two masses is doubled, how does the gravitational force between them change?
A.
It becomes four times weaker
B.
It becomes twice as strong
C.
It remains the same
D.
It becomes half as strong
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Solution
According to the inverse square law, if the distance is doubled, the force becomes 1/(2^2) = 1/4 of the original force.
Correct Answer: A — It becomes four times weaker
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Q. If the distance between two masses is doubled, how does the gravitational force change?
A.
It becomes four times weaker
B.
It becomes twice weaker
C.
It remains the same
D.
It becomes four times stronger
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Solution
According to the inverse square law, if the distance is doubled, the force becomes 1/(2^2) = 1/4, or four times weaker.
Correct Answer: A — It becomes four times weaker
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Q. If the distance between two masses is halved, how does the gravitational force between them change?
A.
It remains the same
B.
It doubles
C.
It quadruples
D.
It halves
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Solution
F = G * (m1 * m2) / r², if r is halved, F increases by a factor of 4.
Correct Answer: C — It quadruples
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Q. If the distance between two masses is halved, how does the gravitational force change?
A.
It becomes four times stronger
B.
It becomes twice stronger
C.
It remains the same
D.
It becomes half as strong
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Solution
If the distance is halved, the force becomes 1/(1/2)^2 = 4 times stronger.
Correct Answer: A — It becomes four times stronger
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Q. If the distance between two masses is tripled, how does the gravitational force change?
A.
It becomes 1/3
B.
It becomes 1/9
C.
It becomes 1/6
D.
It remains the same
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Solution
F ∝ 1/r²; if r is tripled, F becomes F/9.
Correct Answer: B — It becomes 1/9
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Q. If the distance between two objects is doubled, how does the gravitational force between them change?
A.
It doubles
B.
It halves
C.
It becomes one-fourth
D.
It remains the same
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Solution
Gravitational force F ∝ 1/r². If r is doubled, F becomes F/4.
Correct Answer: C — It becomes one-fourth
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Q. If the distance from a mass is doubled, how does the gravitational field strength change?
A.
It doubles.
B.
It halves.
C.
It becomes one-fourth.
D.
It becomes one-eighth.
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Solution
The gravitational field strength is inversely proportional to the square of the distance, so it becomes one-fourth.
Correct Answer: C — It becomes one-fourth.
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