JEE Main Preparation Resources for Competitive Exams

My Learning Cart

JEE Main

Download Q&A

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 a series RLC circuit, what happens to the total impedance at resonance?

A. It is minimum
B. It is maximum
C. It is equal to R
D. It is equal to XL + XC

Solution

At resonance in a series RLC circuit, the total impedance (Z) is equal to the resistance (R) because the inductive and capacitive reactances cancel each other out.

Correct Answer: C — It is equal to R

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

A. R = 0
B. L = C
C. ωL = 1/ωC
D. V = I

Solution

The condition for resonance in a series RLC circuit is ωL = 1/ωC.

Correct Answer: C — ωL = 1/ωC

Q. In a set of numbers, if the mean is 50 and the sum of the numbers is 400, how many numbers are there?

A. 6
B. 7
C. 8
D. 9

Solution

Number of values = Sum / Mean = 400 / 50 = 8.

Correct Answer: C — 8

Q. In a shear stress-strain relationship, what does the slope of the linear portion represent?

A. Young's modulus
B. Shear modulus
C. Bulk modulus
D. Tensile strength

Solution

The slope of the linear portion of the shear stress-strain curve represents the shear modulus of the material.

Correct Answer: B — Shear modulus

Q. In a simple harmonic motion, if the amplitude is halved, how does the total energy change?

A. Remains the same
B. Halves
C. Doubles
D. Quadruples

Solution

Total energy E is proportional to the square of the amplitude. If amplitude is halved, energy is reduced to 1/4, hence it halves.

Correct Answer: B — Halves

Q. In a simple harmonic motion, if the amplitude is increased, what happens to the total energy of the system?

A. It decreases
B. It remains the same
C. It increases
D. It becomes zero

Solution

The total energy in simple harmonic motion is proportional to the square of the amplitude. If the amplitude increases, the total energy increases.

Correct Answer: C — It increases

Q. In a simple harmonic motion, if the displacement is given by x(t) = A cos(ωt + φ), what is the phase constant φ?

A. 0
B. π/2
C. π
D. Depends on initial conditions

Solution

The phase constant φ depends on the initial conditions of the motion, such as the initial position and velocity.

Correct Answer: D — Depends on initial conditions

Q. In a simple harmonic motion, if the mass is increased while keeping the spring constant constant, what happens to the period?

A. Increases
B. Decreases
C. Remains the same
D. Doubles

Solution

The period (T) increases with mass (T = 2π√(m/k)).

Correct Answer: A — Increases

Q. In a simple harmonic motion, if the mass is increased, what happens to the period?

A. Increases
B. Decreases
C. Remains the same
D. Depends on the spring constant

Solution

The period T is given by T = 2π√(m/k). If m increases, T increases.

Correct Answer: A — Increases

Q. In a simple harmonic motion, the maximum displacement from the mean position is called?

A. Amplitude
B. Frequency
C. Wavelength
D. Period

Solution

The maximum displacement from the mean position in simple harmonic motion is called Amplitude.

Correct Answer: A — Amplitude

Q. In a simple harmonic motion, the maximum displacement from the mean position is called what?

A. Amplitude
B. Frequency
C. Wavelength
D. Period

Solution

The maximum displacement from the mean position in simple harmonic motion is called the amplitude.

Correct Answer: A — Amplitude

Q. In a simple harmonic motion, the phase difference between displacement and acceleration is:

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

Solution

Acceleration is always opposite to displacement in SHM, hence 180 degrees.

Correct Answer: C — 180 degrees

Q. In a simple harmonic motion, the restoring force is directly proportional to what?

A. Displacement
B. Velocity
C. Acceleration
D. Mass

Solution

In SHM, the restoring force is directly proportional to the displacement from the mean position.

Correct Answer: A — Displacement

Q. In a simple harmonic motion, the restoring force is directly proportional to which of the following?

A. Displacement
B. Velocity
C. Acceleration
D. Mass

Solution

In simple harmonic motion, the restoring force is directly proportional to the displacement from the mean position.

Correct Answer: A — Displacement

Q. In a simple harmonic motion, the velocity is maximum at which point?

A. Mean position
B. Amplitude
C. Equilibrium position
D. None of the above

Solution

The velocity is maximum at the mean position where the displacement is zero.

Correct Answer: A — Mean position

Q. In a simple harmonic motion, what is the relationship between the period and the mass of the oscillating object?

A. Directly proportional
B. Inversely proportional
C. Independent
D. Exponential

Solution

In simple harmonic motion, the period is independent of mass for a given spring constant, but for a pendulum, it is independent of mass.

Correct Answer: B — Inversely proportional

Q. In a simple harmonic oscillator, if the mass is increased while keeping the spring constant the same, what happens to the period?

A. Increases
B. Decreases
C. Remains the same
D. Doubles

Solution

The period T = 2π√(m/k) increases with an increase in mass (m).

Correct Answer: A — Increases

Q. In a simple harmonic oscillator, if the maximum speed is 4 m/s and the amplitude is 2 m, what is the angular frequency?

A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s

Solution

Maximum speed (v_max) = ωA. Thus, ω = v_max/A = 4/2 = 2 rad/s.

Correct Answer: B — 4 rad/s

Q. In a single-slit diffraction experiment, what happens to the width of the central maximum as the slit width decreases?

A. It increases
B. It decreases
C. It remains the same
D. It becomes zero

Solution

As the slit width decreases, the central maximum becomes wider due to increased diffraction.

Correct Answer: A — It increases

Q. In a single-slit diffraction pattern, how does the intensity of the central maximum compare to the first minimum?

A. Equal
B. Twice
C. Four times
D. Half

Solution

The intensity of the central maximum is four times that of the first minimum in a single-slit diffraction pattern.

Correct Answer: C — Four times

Q. In a single-slit diffraction pattern, how does the intensity of the first minimum compare to the intensity of the central maximum?

A. It is equal
B. It is half
C. It is zero
D. It is one-fourth

Solution

The intensity at the first minimum is zero, while the central maximum has maximum intensity.

Correct Answer: C — It is zero

Q. In a single-slit diffraction pattern, how many minima are there on either side of the central maximum?

A. One
B. Two
C. Three
D. Infinite

Solution

In a single-slit diffraction pattern, there are theoretically infinite minima on either side of the central maximum.

Correct Answer: D — Infinite

Q. In a single-slit diffraction pattern, the width of the central maximum is 4 mm. If the slit width is halved, what will be the new width of the central maximum?

A. 2 mm
B. 4 mm
C. 8 mm
D. 16 mm

Solution

The width of the central maximum is inversely proportional to the slit width. Halving the slit width doubles the width of the central maximum to 8 mm.

Correct Answer: C — 8 mm

Q. In a single-slit diffraction pattern, what is the angle for the first minimum if the slit width is 0.5 mm and the wavelength of light is 600 nm?

A. 30°
B. 60°
C. 45°
D. 15°

Solution

For single-slit diffraction, the first minimum occurs at sin θ = λ/a. Here, sin θ = 600 x 10^-9 m / 0.5 x 10^-3 m = 0.0012, θ ≈ 0.0698 rad ≈ 4°.

Correct Answer: C — 45°

Q. In a single-slit diffraction pattern, what is the angle for the first minimum?

A. sin(θ) = λ/a
B. sin(θ) = 2λ/a
C. sin(θ) = 3λ/a
D. sin(θ) = 0

Solution

The angle for the first minimum in single-slit diffraction is given by sin(θ) = λ/a, where a is the slit width.

Correct Answer: A — sin(θ) = λ/a

Q. In a single-slit diffraction pattern, what is the angular position of the first minimum?

A. sin(θ) = λ/a
B. sin(θ) = 2λ/a
C. sin(θ) = 3λ/a
D. sin(θ) = 0

Solution

The first minimum in a single-slit diffraction pattern occurs at sin(θ) = λ/a, where a is the width of the slit.

Correct Answer: A — sin(θ) = λ/a

Q. In a single-slit diffraction pattern, what is the angular width of the central maximum if the slit width is 0.5 mm and the wavelength of light is 500 nm?

A. 0.1 rad
B. 0.2 rad
C. 0.3 rad
D. 0.4 rad

Solution

Angular width = 2λ/a. Here, a = 0.5 mm = 500 μm, so angular width = 2 * 500 nm / 500 μm = 0.002 rad = 0.2 rad.

Correct Answer: B — 0.2 rad

Q. In a single-slit diffraction pattern, what is the angular width of the central maximum if the slit width is 0.5 mm and light of wavelength 500 nm is used?

A. 0.1 rad
B. 0.2 rad
C. 0.3 rad
D. 0.4 rad

Solution

Angular width = 2λ/a = 2(500 nm)/(0.5 mm) = 2(500 x 10^-9)/(0.5 x 10^-3) = 0.002 rad.

Correct Answer: B — 0.2 rad

Q. In a single-slit diffraction pattern, where is the first minimum located?

A. At θ = 0
B. At θ = λ/a
C. At θ = a/λ
D. At θ = 2λ/a

Solution

The first minimum in a single-slit diffraction pattern occurs at θ = λ/a, where a is the width of the slit.

Correct Answer: B — At θ = λ/a

Q. In a situation where 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 distance

Solution

Two parallel wires carrying currents in the same direction experience an attractive force between them.

Correct Answer: A — Attractive

Showing 4861 to 4890 of 10700 (357 Pages)

School

College

Degree

Competitve

Skills

Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely