Physics Syllabus (JEE Main)
Q. If two capacitors of capacitance C1 and C2 are connected in series, what is the equivalent capacitance?
A.
C1 + C2
B.
1 / (1/C1 + 1/C2)
C.
C1 * C2 / (C1 + C2)
D.
C1 - C2
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Solution
The equivalent capacitance C_eq of capacitors in series is given by 1 / C_eq = 1 / C1 + 1 / C2.
Correct Answer: B — 1 / (1/C1 + 1/C2)
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Q. If two cars are moving in opposite directions at speeds of 40 km/h and 60 km/h, what is their relative speed?
A.
100 km/h
B.
20 km/h
C.
40 km/h
D.
60 km/h
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Solution
Relative speed = Speed of car 1 + Speed of car 2 = 40 km/h + 60 km/h = 100 km/h.
Correct Answer: A — 100 km/h
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Q. If two cars are moving towards each other at speeds of 40 km/h and 60 km/h, how long will it take for them to meet if they are 200 km apart?
A.
1 hour
B.
2 hours
C.
3 hours
D.
4 hours
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Solution
Relative speed = 40 km/h + 60 km/h = 100 km/h. Time = Distance / Relative Speed = 200 km / 100 km/h = 2 hours.
Correct Answer: B — 2 hours
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Q. If two charges of +3μC and +5μC are placed 0.3m apart, what is the magnitude of the force between them?
A.
0.15 N
B.
0.25 N
C.
0.45 N
D.
0.75 N
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Solution
Using Coulomb's law, F = k * |q1 * q2| / r² = (9 × 10^9 N m²/C²) * |(3 × 10^-6 C) * (5 × 10^-6 C)| / (0.3 m)² = 0.45 N.
Correct Answer: C — 0.45 N
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Q. If two charges of +3μC and -3μC are placed 0.1m apart, what is the net electric field at the midpoint?
A.
0 N/C
B.
54000 N/C
C.
27000 N/C
D.
81000 N/C
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Solution
The electric fields due to both charges at the midpoint cancel each other out, resulting in a net electric field of 0 N/C.
Correct Answer: A — 0 N/C
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Q. If two coherent sources of light are in phase, what type of interference pattern will be observed?
A.
No interference pattern
B.
Destructive interference
C.
Constructive interference
D.
Random interference
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Solution
When two coherent sources are in phase, they produce constructive interference, resulting in bright fringes.
Correct Answer: C — Constructive interference
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Q. If two coherent sources of light are in phase, what type of interference will occur?
A.
Destructive interference
B.
Constructive interference
C.
No interference
D.
Random interference
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Solution
When two coherent sources are in phase, they produce constructive interference, resulting in bright fringes.
Correct Answer: B — Constructive interference
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Q. If two coherent sources of light are in phase, what will be the phase difference at a point where the path difference is λ/4?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
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Solution
The phase difference (Δφ) is given by (2π/λ) * path difference. For a path difference of λ/4, Δφ = (2π/λ) * (λ/4) = π/2 radians.
Correct Answer: B — π/2 radians
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Q. If two coherent sources of light are in phase, what will be the phase difference at a point where the path difference is λ/2?
A.
0 radians
B.
π/2 radians
C.
π radians
D.
2π radians
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Solution
A path difference of λ/2 corresponds to a phase difference of π radians, leading to destructive interference.
Correct Answer: C — π radians
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Q. If two coherent sources of light are in phase, what will be the result at a point where the path difference is λ/2?
A.
Constructive interference
B.
Destructive interference
C.
No interference
D.
Partial interference
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Solution
A path difference of λ/2 results in destructive interference, as the waves will be out of phase.
Correct Answer: B — Destructive interference
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Q. If two equal and opposite forces are applied at the ends of a lever arm of length 4 m, what is the net torque about the center?
A.
0 Nm
B.
8 Nm
C.
4 Nm
D.
16 Nm
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Solution
The net torque is zero because the forces are equal and opposite, resulting in no rotational effect.
Correct Answer: A — 0 Nm
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Q. If two equal and opposite forces are applied at the ends of a lever arm of length 1 m, what is the net torque about the center?
A.
0 Nm
B.
1 Nm
C.
2 Nm
D.
4 Nm
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Solution
The net torque is zero because the forces are equal and opposite, producing no rotational effect.
Correct Answer: A — 0 Nm
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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
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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
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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
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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
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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 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
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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
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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 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
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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 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
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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
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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
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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 objects are in thermal contact, what will happen to their temperatures over time?
A.
They will remain the same
B.
They will equalize
C.
One will increase, the other will decrease
D.
They will both decrease
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Solution
According to the second law of thermodynamics, heat will flow from the hotter object to the cooler one until they reach thermal equilibrium.
Correct Answer: B — They will equalize
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Q. If two objects are moved closer together, what happens to the gravitational force between them?
A.
It decreases
B.
It increases
C.
It remains constant
D.
It becomes zero
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Solution
As the distance between two masses decreases, the gravitational force increases according to the inverse square law.
Correct Answer: B — It increases
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Q. If two objects are moved to a distance of half their original separation, 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 two objects are moving in opposite directions with speeds of 10 m/s and 15 m/s, what is their relative speed?
A.
5 m/s
B.
25 m/s
C.
15 m/s
D.
10 m/s
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Solution
Relative speed = Speed of object 1 + Speed of object 2 = 10 m/s + 15 m/s = 25 m/s.
Correct Answer: B — 25 m/s
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