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JEE Main MCQ & Objective Questions

The JEE Main exam is a crucial step for students aspiring to enter prestigious engineering colleges in India. It tests not only knowledge but also the ability to apply concepts effectively. Practicing MCQs and objective questions is essential for scoring better, as it helps in familiarizing students with the exam pattern and enhances their problem-solving skills. Engaging with practice questions allows students to identify important questions and strengthen their exam preparation.

What You Will Practise Here

Fundamental concepts of Physics, Chemistry, and Mathematics
Key formulas and their applications in problem-solving
Important definitions and theories relevant to JEE Main
Diagrams and graphical representations for better understanding
Numerical problems and their step-by-step solutions
Previous years' JEE Main questions for real exam experience
Time management strategies while solving MCQs

Exam Relevance

The topics covered in JEE Main are not only significant for the JEE exam but also appear in various CBSE and State Board examinations. Many concepts are shared with the NEET syllabus, making them relevant across multiple competitive exams. Common question patterns include conceptual applications, numerical problems, and theoretical questions that assess a student's understanding of core subjects.

Common Mistakes Students Make

Misinterpreting the question stem, leading to incorrect answers
Neglecting units in numerical problems, which can change the outcome
Overlooking negative marking and not managing time effectively
Relying too heavily on rote memorization instead of understanding concepts
Failing to review and analyze mistakes from practice tests

FAQs

Question: How can I improve my speed in solving JEE Main MCQ questions?
Answer: Regular practice with timed quizzes and focusing on shortcuts can significantly enhance your speed.

Question: Are the JEE Main objective questions similar to previous years' papers?
Answer: Yes, many questions are based on previous years' patterns, so practicing them can be beneficial.

Question: What is the best way to approach JEE Main practice questions?
Answer: Start with understanding the concepts, then attempt practice questions, and finally review your answers to learn from mistakes.

Now is the time to take charge of your preparation! Dive into solving JEE Main MCQs and practice questions to test your understanding and boost your confidence for the exam.

Chemistry Syllabus (JEE Main) Mathematics Syllabus (JEE Main) Physics Syllabus (JEE Main)

Q. Two charges +q and -q are placed at a distance d apart. What is the electric field at the midpoint between the charges?

A. 0
B. kq/d^2
C. 2kq/d^2
D. kq/2d^2

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

Q. Two charges +q and -q are placed at a distance d apart. Where can a third charge be placed such that the net force on it is zero?

A. At a distance d/2 from +q
B. At a distance d/2 from -q
C. At a distance greater than d from both
D. At a distance less than d/2 from both

Solution

The third charge must be placed between +q and -q, closer to -q to balance the forces.

Correct Answer: B — At a distance d/2 from -q

Q. Two charges +q and -q are placed at a distance d apart. Where is the electric field zero?

A. At the midpoint
B. Closer to +q
C. Closer to -q
D. At infinity

Solution

The electric field is zero at a point closer to -q because the magnitudes of the fields due to both charges will be equal at that point.

Correct Answer: C — Closer to -q

Q. Two coherent sources emit waves of the same frequency. If the path difference is 0.5λ, what type of interference occurs?

A. Constructive interference
B. Destructive interference
C. No interference
D. Partial interference

Solution

Constructive interference occurs when the path difference is an integer multiple of λ.

Correct Answer: A — Constructive interference

Q. Two coherent sources emit waves of the same frequency. If the phase difference between the waves is π radians, what type of interference occurs?

A. Constructive interference
B. Destructive interference
C. No interference
D. Partial interference

Solution

A phase difference of π radians corresponds to a path difference of λ/2, leading to destructive interference.

Correct Answer: B — Destructive interference

Q. Two coherent sources of light produce interference. If the path difference is 0.5λ, what type of interference occurs?

A. Constructive interference
B. Destructive interference
C. No interference
D. Partial interference

Solution

Constructive interference occurs when the path difference is an integer multiple of λ, and 0.5λ corresponds to a half wavelength, leading to constructive interference.

Correct Answer: A — Constructive interference

Q. Two coherent sources of sound produce waves of the same frequency. If the path difference between the waves at a point is 0.5 m, what is the phase difference at that point?

A. 0 rad
B. π/2 rad
C. π rad
D. 3π/2 rad

Solution

Phase difference (Δφ) = (2π/λ) * path difference. For sound in air, λ = v/f. Assuming f = 1000 Hz and v = 340 m/s, λ = 0.34 m. Δφ = (2π/0.34) * 0.5 = π/2 rad.

Correct Answer: B — π/2 rad

Q. Two coherent sources of sound produce waves of the same frequency. If the path difference between the waves is 0.5 m, what is the phase difference?

A. 0 rad
B. π/2 rad
C. π rad
D. 3π/2 rad

Solution

Phase difference (φ) = (2π/λ) * path difference. Given λ = 1 m, φ = (2π/1) * 0.5 = π rad.

Correct Answer: B — π/2 rad

Q. Two cyclists start from the same point and ride in opposite directions at speeds of 12 km/h and 15 km/h. How far apart will they be after 2 hours?

A. 54 km
B. 60 km
C. 30 km
D. 42 km

Solution

Relative speed = 12 + 15 = 27 km/h. Distance apart after 2 hours = 27 * 2 = 54 km.

Correct Answer: B — 60 km

Q. Two cyclists start from the same point and ride in opposite directions at speeds of 15 km/h and 20 km/h. How far apart will they be after 1 hour?

A. 25 km
B. 30 km
C. 35 km
D. 40 km

Solution

Distance apart = (15 + 20) * 1 = 35 km.

Correct Answer: B — 30 km

Q. Two identical charges are placed 1m apart. If the force between them is 9N, what is the magnitude of each charge?

A. 1μC
B. 2μC
C. 3μC
D. 4μC

Solution

Using Coulomb's law, F = k * |q1 * q2| / r². Let q be the charge, then 9 = (9 × 10^9) * (q²) / (1)². Solving gives q = 3μC.

Correct Answer: B — 2μC

Q. Two identical charges of +1μC are placed 1m apart. What is the potential energy of the system?

A. 9 × 10^-3 J
B. 4.5 × 10^-3 J
C. 1.8 × 10^-3 J
D. 0.9 × 10^-3 J

Solution

U = k * q1 * q2 / r = (9 × 10^9) * (1 × 10^-6) * (1 × 10^-6) / 1 = 9 × 10^-3 J.

Correct Answer: A — 9 × 10^-3 J

Q. Two identical metal spheres carry charges of +5μC and -5μC respectively. If they are brought into contact and then separated, what will be the charge on each sphere?

A. 0μC
B. +5μC
C. -5μC
D. +2.5μC

Solution

When brought into contact, the charges will redistribute equally, resulting in 0μC on each sphere.

Correct Answer: A — 0μC

Q. Two identical metal spheres carry charges of +5μC and -5μC. If they are brought into contact and then separated, what will be the charge on each sphere?

A. 0μC
B. +5μC
C. -5μC
D. +2.5μC

Solution

When brought into contact, the charges will redistribute equally, resulting in 0μC on each sphere.

Correct Answer: A — 0μC

Q. Two identical spheres, each with a charge of +5μC, are placed 0.1m apart. What is the electric field at the midpoint between the two spheres?

A. 0 N/C
B. 1.8 × 10^5 N/C
C. 3.6 × 10^5 N/C
D. 9 × 10^5 N/C

Solution

The electric fields due to both charges at the midpoint are equal and opposite, thus they cancel each other out, resulting in 0 N/C.

Correct Answer: A — 0 N/C

Q. Two identical spheres, each with a charge of +5μC, are placed 1 meter apart. What is the potential energy of the system?

A. 0.225 J
B. 0.45 J
C. 0.675 J
D. 0.9 J

Solution

Potential energy U = k * q1 * q2 / r = (9 × 10^9 N m²/C²) * (5 × 10^-6 C)² / 1 m = 0.225 J.

Correct Answer: B — 0.45 J

Q. Two identical spheres, one charged positively and the other negatively, are brought into contact and then separated. What will be the charge on each sphere after separation?

A. Both positive
B. Both negative
C. Neutral
D. Equal positive and negative

Solution

When two identical spheres are brought into contact, they share their charges equally. Thus, they will have equal positive and negative charges after separation.

Correct Answer: D — Equal positive and negative

Q. Two objects are dropped from the same height. If one is twice as heavy as the other, which will hit the ground first?

A. Heavier object
B. Lighter object
C. Both will hit at the same time
D. Depends on the height

Solution

In free fall, all objects accelerate at the same rate regardless of mass.

Correct Answer: C — Both will hit at the same time

Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which will have a greater range?

A. 30 degrees
B. 60 degrees
C. Both have the same range
D. Cannot be determined

Solution

Both angles will have the same range when launched from the same height.

Correct Answer: A — 30 degrees

Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which will hit the ground first?

A. 30 degrees
B. 60 degrees
C. Both hit at the same time
D. Depends on the speed

Solution

Both will hit the ground at the same time as they are thrown from the same height.

Correct Answer: C — Both hit at the same time

Q. Two objects are thrown simultaneously from the same height but at different angles. If both have the same initial speed, which will hit the ground first?

A. Object at 30 degrees
B. Object at 45 degrees
C. Object at 60 degrees
D. Both hit at the same time

Solution

All objects hit the ground at the same time if launched from the same height with the same speed.

Correct Answer: D — Both hit at the same time

Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which one will have a longer range?

A. 30 degrees
B. 60 degrees
C. Both have the same range
D. Cannot be determined

Solution

The range is maximum at 45 degrees; hence, the 30-degree projectile will have a longer range than the 60-degree one.

Correct Answer: A — 30 degrees

Q. Two objects are thrown simultaneously from the same height but at different angles. If one is thrown at 30 degrees and the other at 60 degrees, which will land first?

A. 30 degrees
B. 60 degrees
C. Both land at the same time
D. Depends on the initial speed

Solution

Both will land at the same time as they are thrown from the same height.

Correct Answer: C — Both land at the same time

Q. Two objects of masses 3 kg and 4 kg are placed 1 m apart. What is the gravitational force between them? (G = 6.67 × 10^-11 N m²/kg²)

A. 8.01 × 10^-11 N
B. 8.01 × 10^-10 N
C. 8.01 × 10^-9 N
D. 8.01 × 10^-8 N

Solution

F = G * (m1 * m2) / r² = (6.67 × 10^-11) * (3 * 4) / (1²) = 8.01 × 10^-11 N

Correct Answer: A — 8.01 × 10^-11 N

Q. Two observers are moving towards each other at speeds of 20 m/s and 30 m/s. What is the relative velocity of one observer as seen by the other?

A. 10 m/s
B. 20 m/s
C. 50 m/s
D. 60 m/s

Solution

Relative velocity = Velocity of observer 1 + Velocity of observer 2 = 20 m/s + 30 m/s = 50 m/s.

Correct Answer: C — 50 m/s

Q. Two observers are moving towards each other at speeds of 20 m/s and 30 m/s. What is the speed of one observer as seen by the other?

A. 10 m/s
B. 20 m/s
C. 50 m/s
D. 60 m/s

Solution

Relative speed = Speed of observer 1 + Speed of observer 2 = 20 m/s + 30 m/s = 50 m/s.

Correct Answer: C — 50 m/s

Q. Two observers are moving towards each other at speeds of 20 m/s and 30 m/s. What is the relative velocity of one observer with respect to the other?

A. 10 m/s
B. 20 m/s
C. 50 m/s
D. 60 m/s

Solution

Relative velocity = Velocity of observer 1 + Velocity of observer 2 = 20 m/s + 30 m/s = 50 m/s.

Correct Answer: C — 50 m/s

Q. Two parallel wires carry currents in the same direction. What is the nature of the force between them?

A. Attractive
B. Repulsive
C. No force
D. Depends on the current

Solution

When two parallel wires carry currents in the same direction, they exert an attractive force on each other due to the magnetic fields they create.

Correct Answer: A — Attractive

Q. Two parallel wires carry currents I₁ and I₂ in the same direction. What is the nature of the force between them?

A. Attractive
B. Repulsive
C. Zero
D. Depends on distance

Solution

Parallel currents attract each other due to the magnetic fields they create.

Correct Answer: A — Attractive

Q. Two parallel wires carrying currents I₁ and I₂ in the same direction are separated by a distance d. What is the force per unit length between them?

A. (μ₀I₁I₂)/(2πd)
B. (μ₀I₁I₂)/(4πd)
C. (μ₀I₁I₂)/(8πd)
D. (μ₀I₁I₂)/(πd)

Solution

The force per unit length between two parallel wires is given by F/L = (μ₀I₁I₂)/(2πd).

Correct Answer: A — (μ₀I₁I₂)/(2πd)

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