JEE Main Preparation Resources for Competitive Exams

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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. In an isothermal process, the change in internal energy is:

A. Positive
B. Negative
C. Zero
D. Depends on the system

Solution

In an isothermal process, the temperature remains constant, hence the change in internal energy is zero.

Correct Answer: C — Zero

Q. In an isothermal process, the change in internal energy of an ideal gas is:

A. Positive
B. Negative
C. Zero
D. Depends on the amount of gas

Solution

In an isothermal process for an ideal gas, the temperature remains constant, hence the change in internal energy is zero.

Correct Answer: C — Zero

Q. In an isothermal process, the internal energy of an ideal gas:

A. Increases
B. Decreases
C. Remains constant
D. Depends on the amount of gas

Solution

For an ideal gas, the internal energy is a function of temperature. In an isothermal process, the temperature remains constant, hence the internal energy remains constant.

Correct Answer: C — Remains constant

Q. In an isothermal process, the temperature of the system remains constant. What is the work done by the gas during expansion?

A. Zero
B. nRT ln(Vf/Vi)
C. nRT (Vf - Vi)
D. nR (Tf - Ti)

Solution

In an isothermal process, the work done by the gas is given by W = nRT ln(Vf/Vi).

Correct Answer: B — nRT ln(Vf/Vi)

Q. In an isothermal process, the temperature of the system remains constant. What is the work done by the gas?

A. Zero
B. nRT ln(Vf/Vi)
C. nRT
D. nR(Tf - Ti)

Solution

In an isothermal process, the work done by the gas is given by W = nRT ln(Vf/Vi).

Correct Answer: B — nRT ln(Vf/Vi)

Q. In an isothermal process, the temperature of the system:

A. Increases
B. Decreases
C. Remains constant
D. Varies linearly

Solution

In an isothermal process, the temperature of the system remains constant.

Correct Answer: C — Remains constant

Q. In an isothermal process, which of the following remains constant?

A. Pressure
B. Volume
C. Temperature
D. Number of moles

Solution

In an isothermal process, the temperature remains constant.

Correct Answer: C — Temperature

Q. In an RL circuit, what is the time constant τ defined as?

A. L/R
B. R/L
C. LR
D. 1/(LR)

Solution

The time constant τ in an RL circuit is defined as τ = L/R, where L is the inductance and R is the resistance.

Correct Answer: A — L/R

Q. In an RL circuit, what is the time constant τ?

A. L/R
B. R/L
C. LR
D. 1/(LR)

Solution

The time constant τ for an RL circuit is given by τ = L/R, where L is the inductance and R is the resistance.

Correct Answer: A — L/R

Q. In an RLC circuit, if the resistance is increased while keeping the inductance and capacitance constant, what happens to the bandwidth?

A. Increases
B. Decreases
C. Remains the same
D. Becomes zero

Solution

The bandwidth (Δf) of an RLC circuit is inversely proportional to the resistance (R). Increasing R decreases the bandwidth.

Correct Answer: B — Decreases

Q. In an RLC circuit, what is the condition for resonance?

A. XL = XC
B. R = 0
C. L = C
D. f = 0

Solution

Resonance occurs when the inductive reactance (XL) equals the capacitive reactance (XC).

Correct Answer: A — XL = XC

Q. In an RLC series circuit, if the resistance is increased while keeping the inductance and capacitance constant, what happens to the quality factor (Q)?

A. Increases
B. Decreases
C. Remains the same
D. Becomes zero

Solution

The quality factor (Q) is given by Q = (1/R)√(L/C). Increasing R decreases Q.

Correct Answer: B — Decreases

Q. In an RLC series circuit, what is the condition for resonance?

A. XL = XC
B. R = 0
C. XL > XC
D. R > XL

Solution

Resonance in an RLC series circuit occurs when the inductive reactance (X_L) equals the capacitive reactance (X_C), i.e., X_L = X_C.

Correct Answer: A — XL = XC

Q. In beta decay, which particle is emitted from the nucleus?

A. Alpha particle
B. Beta particle
C. Gamma ray
D. Neutron

Solution

In beta decay, a beta particle (which is an electron or positron) is emitted from the nucleus.

Correct Answer: B — Beta particle

Q. In Biot-Savart Law, what does the term 'dL' represent?

A. Element of current
B. Element of length
C. Element of magnetic field
D. Element of charge

Solution

In Biot-Savart Law, 'dL' represents an infinitesimal element of length along the current-carrying conductor.

Correct Answer: B — Element of length

Q. In digital communication, what does the term 'bit rate' refer to?

A. The number of bits transmitted per second
B. The number of bits stored in a device
C. The number of bits in a signal
D. The number of bits required for modulation

Solution

Bit rate is defined as the number of bits transmitted per second in a digital communication system.

Correct Answer: A — The number of bits transmitted per second

Q. In double-slit diffraction, what is the effect of increasing the distance between the slits on the fringe width?

A. Fringe width increases
B. Fringe width decreases
C. Fringe width remains constant
D. Fringe width becomes zero

Solution

Increasing the distance between the slits increases the fringe width because the angle of diffraction increases.

Correct Answer: A — Fringe width increases

Q. In double-slit diffraction, what is the path difference for constructive interference at the first order maximum?

A. λ/2
B. λ
C. 2λ
D. 3λ

Solution

For constructive interference, the path difference must be an integer multiple of the wavelength, so for the first order maximum, it is λ.

Correct Answer: B — λ

Q. In electrochemistry, what does the term 'reduction' refer to?

A. Loss of electrons
B. Gain of electrons
C. Loss of protons
D. Gain of protons

Solution

Reduction refers to the gain of electrons in a chemical reaction.

Correct Answer: B — Gain of electrons

Q. In electromagnetic induction, what is the role of the changing magnetic field?

A. It creates a static electric field
B. It induces a current in a conductor
C. It has no effect
D. It increases resistance

Solution

A changing magnetic field induces an electromotive force (EMF) in a conductor, leading to the flow of current.

Correct Answer: B — It induces a current in a conductor

Q. In electrostatics, what is the significance of equipotential surfaces?

A. They are surfaces where electric field is zero
B. They are surfaces where potential is constant
C. They are surfaces where charge density is uniform
D. They are surfaces where current flows

Solution

Equipotential surfaces are defined as surfaces where the electric potential is constant. No work is done when moving a charge along these surfaces.

Correct Answer: B — They are surfaces where potential is constant

Q. In forced oscillations, what is the effect of increasing the amplitude of the driving force?

A. Decreases the amplitude of oscillation
B. Increases the amplitude of oscillation
C. Has no effect on amplitude
D. Causes the system to stop oscillating

Solution

Increasing the amplitude of the driving force generally increases the amplitude of the forced oscillation.

Correct Answer: B — Increases the amplitude of oscillation

Q. In forced oscillations, what is the phase difference between the driving force and the displacement at resonance?

A. 0 degrees
B. 90 degrees
C. 180 degrees
D. 270 degrees

Solution

At resonance, the phase difference between the driving force and the displacement is 0 degrees, meaning they are in phase.

Correct Answer: A — 0 degrees

Q. In heat exchangers, which process is primarily utilized?

A. Conduction
B. Convection
C. Radiation
D. All of the above

Solution

Heat exchangers primarily utilize conduction, convection, and radiation for heat transfer.

Correct Answer: D — All of the above

Q. In heat transfer, what does the term 'thermal resistance' refer to?

A. Resistance to heat flow
B. Resistance to electrical flow
C. Resistance to fluid flow
D. None of the above

Solution

Thermal resistance refers to the resistance to heat flow through a material.

Correct Answer: A — Resistance to heat flow

Q. In how many ways can 3 boys and 2 girls be seated in a row?

A. 30
B. 60
C. 120
D. 24

Solution

The total number of arrangements is (3+2)! = 5! = 120.

Correct Answer: B — 60

Q. In how many ways can 3 different colored balls be arranged in a line?

A. 6
B. 3
C. 9
D. 12

Solution

The number of arrangements of 3 different colored balls is 3! = 6.

Correct Answer: A — 6

Q. In how many ways can 3 different colored balls be chosen from a set of 7?

A. 35
B. 21
C. 42
D. 56

Solution

The number of ways to choose 3 from 7 is given by C(7,3) = 7!/(3!4!) = 35.

Correct Answer: A — 35

Q. In how many ways can 3 men and 2 women be arranged in a line if the men must be together?

A. 60
B. 120
C. 30
D. 24

Solution

Treat the 3 men as one unit. So, we have 3 units (MMM, W, W). The arrangements = 3! * 3! = 36.

Correct Answer: B — 120

Q. In how many ways can 3 red balls and 2 blue balls be arranged in a row?

A. 10
B. 15
C. 20
D. 25

Solution

The total arrangements = 5! / (3! * 2!) = 10.

Correct Answer: A — 10

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