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 a vacuum, which of the following travels fastest?

A. Sound
B. Light
C. Radio waves
D. All travel at the same speed

Solution

In a vacuum, light travels fastest at approximately 3 x 10^8 m/s.

Correct Answer: B — Light

Q. In a viscometer, what does the time taken for a fluid to flow through a capillary tube indicate?

A. Density of the fluid
B. Viscosity of the fluid
C. Temperature of the fluid
D. Pressure of the fluid

Solution

The time taken for a fluid to flow through a capillary tube is directly related to its viscosity.

Correct Answer: B — Viscosity of the fluid

Q. In a wave equation y(x, t) = A sin(kx - ωt), what does 'A' represent?

A. Wavelength
B. Frequency
C. Amplitude
D. Wave number

Solution

'A' represents the amplitude of the wave, which is the maximum displacement from the equilibrium position.

Correct Answer: C — Amplitude

Q. In a wave, if the amplitude is increased, what effect does it have on the energy of the wave?

A. Energy decreases
B. Energy remains the same
C. Energy increases linearly
D. Energy increases with the square of the amplitude

Solution

The energy of a wave is proportional to the square of its amplitude, so if the amplitude increases, the energy increases with the square of the amplitude.

Correct Answer: D — Energy increases with the square of the amplitude

Q. In a wave, if the amplitude is increased, what happens to the energy carried by the wave?

A. Energy decreases
B. Energy remains the same
C. Energy increases linearly
D. Energy increases with the square of the amplitude

Solution

The energy carried by a wave is proportional to the square of its amplitude, so if the amplitude increases, the energy increases with the square of that increase.

Correct Answer: D — Energy increases with the square of the amplitude

Q. In a wave, if the amplitude is increased, what happens to the energy of the wave?

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

Solution

The energy of a wave is proportional to the square of its amplitude. Therefore, if the amplitude increases, the energy increases.

Correct Answer: C — Energy increases

Q. In a wave, the distance between two consecutive crests is known as what?

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

Solution

The distance between two consecutive crests in a wave is called the wavelength.

Correct Answer: B — Wavelength

Q. In a Wheatstone bridge, if all resistances are equal, what is the condition for balance?

A. Any configuration.
B. R1 = R2 = R3 = R4.
C. R1 + R2 = R3 + R4.
D. R1/R2 = R3/R4.

Solution

When all resistances are equal, the bridge is balanced regardless of the configuration.

Correct Answer: B — R1 = R2 = R3 = R4.

Q. In a Wheatstone bridge, if one of the resistors is changed, how does it affect the balance condition?

A. It does not affect the balance
B. It always unbalances the bridge
C. It can either balance or unbalance the bridge
D. It only balances if the new resistor is equal

Solution

Changing one resistor can either balance or unbalance the bridge depending on the new value relative to the others.

Correct Answer: C — It can either balance or unbalance the bridge

Q. In a Wheatstone bridge, if P = 20Ω, Q = 30Ω, and R = 10Ω, what is the value of S for the bridge to be balanced?

A. 15Ω
B. 20Ω
C. 25Ω
D. 30Ω

Solution

Using the balance condition P/Q = R/S, we find S = 15Ω.

Correct Answer: B — 20Ω

Q. In a Wheatstone bridge, if R1 = 10Ω, R2 = 15Ω, and R3 = 30Ω, what is the value of R4 for the bridge to be balanced?

A. 20Ω
B. 25Ω
C. 30Ω
D. 35Ω

Solution

Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (15 * 30) / 10 = 45Ω.

Correct Answer: B — 25Ω

Q. In a Wheatstone bridge, if R1 = 10Ω, R2 = 20Ω, and R3 = 30Ω, what is the value of R4 for the bridge to be balanced?

A. 15Ω
B. 20Ω
C. 25Ω
D. 30Ω

Solution

Using the balance condition R1/R2 = R3/R4, we have 10/20 = 30/R4, which gives R4 = 20Ω.

Correct Answer: B — 20Ω

Q. In a Wheatstone bridge, if R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for the bridge to be balanced?

A. 30Ω
B. 20Ω
C. 15Ω
D. 10Ω

Solution

For balance, R1/R2 = R3/R4. Thus, 10/20 = 15/R4, giving R4 = 30Ω.

Correct Answer: B — 20Ω

Q. In a Wheatstone bridge, if R1 = 1Ω, R2 = 2Ω, and R3 = 3Ω, what is the value of R4 for the bridge to be balanced?

A. 1.5Ω
B. 2Ω
C. 3Ω
D. 4Ω

Solution

Using the balance condition R1/R2 = R3/R4, we have 1/2 = 3/R4. Solving gives R4 = 6Ω.

Correct Answer: D — 4Ω

Q. In a Wheatstone bridge, if R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω, what is the value of R4 for balance?

A. 15Ω
B. 20Ω
C. 25Ω
D. 30Ω

Solution

Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (30 * 10) / 20 = 15Ω.

Correct Answer: B — 20Ω

Q. In a Wheatstone bridge, if R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω, what is the value of R4 for the bridge to be balanced?

A. 15Ω
B. 20Ω
C. 25Ω
D. 30Ω

Solution

Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (30 * 10) / 20 = 15Ω.

Correct Answer: B — 20Ω

Q. In a Wheatstone bridge, if R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R4 for the bridge to be balanced?

A. 4Ω
B. 9Ω
C. 12Ω
D. 8Ω

Solution

Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (3 * 6) / 2 = 9Ω.

Correct Answer: C — 12Ω

Q. In a Wheatstone bridge, if R1 = 2Ω, R2 = 3Ω, and R3 = 6Ω, what is the value of R4 for balance?

A. 4Ω
B. 5Ω
C. 6Ω
D. 9Ω

Solution

Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (3 * 6) / 2 = 9Ω.

Correct Answer: C — 6Ω

Q. In a Wheatstone bridge, if R1 = 3Ω, R2 = 6Ω, and R3 = 9Ω, what is the value of R4 for balance?

A. 4.5Ω
B. 6Ω
C. 9Ω
D. 12Ω

Solution

Using the balance condition R1/R2 = R3/R4, we find R4 = 6Ω.

Correct Answer: B — 6Ω

Q. In a Wheatstone bridge, if R1 = 4Ω, R2 = 6Ω, and R3 = 12Ω, what is the value of R4 for the bridge to be balanced?

A. 8Ω
B. 9Ω
C. 10Ω
D. 12Ω

Solution

Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (6 * 12) / 4 = 18Ω.

Correct Answer: D — 12Ω

Q. In a Wheatstone bridge, if R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω, what is the value of R4 for balance?

A. 7.5Ω
B. 10Ω
C. 12.5Ω
D. 20Ω

Solution

Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (10 * 15) / 5 = 30Ω.

Correct Answer: C — 12.5Ω

Q. In a Wheatstone bridge, if R1 = 5Ω, R2 = 10Ω, and R3 = 15Ω, what is the value of R4 for the bridge to be balanced?

A. 7.5Ω
B. 10Ω
C. 12.5Ω
D. 15Ω

Solution

Using the balance condition R1/R2 = R3/R4, we have 5/10 = 15/x, solving gives x = 7.5Ω.

Correct Answer: C — 12.5Ω

Q. In a Wheatstone bridge, if the battery voltage is 12V and the bridge is balanced, what is the current through the galvanometer?

A. 0A
B. 1A
C. 2A
D. 12A

Solution

In a balanced Wheatstone bridge, the current through the galvanometer is zero.

Correct Answer: A — 0A

Q. In a Wheatstone bridge, if the battery voltage is 12V and the bridge is balanced, what is the voltage across each resistor?

A. 3V
B. 4V
C. 6V
D. 12V

Solution

In a balanced Wheatstone bridge, the voltage is divided equally across the resistors, so each resistor will have 6V.

Correct Answer: C — 6V

Q. In a Wheatstone bridge, if the battery voltage is 12V and the resistances are equal, what is the voltage across the galvanometer?

A. 0V
B. 6V
C. 12V
D. 3V

Solution

With equal resistances, the voltage across the galvanometer is 0V.

Correct Answer: A — 0V

Q. In a Wheatstone bridge, if the battery voltage is increased, what happens to the balance condition?

A. It changes
B. It remains the same
C. It becomes unstable
D. It cannot be determined

Solution

The balance condition depends on the ratio of resistances, not the voltage.

Correct Answer: B — It remains the same

Q. In a Wheatstone bridge, if the bridge is balanced, what can be said about the ratio of the resistances?

A. R1/R2 = R3/R4
B. R1 + R2 = R3 + R4
C. R1 - R2 = R3 - R4
D. R1 * R2 = R3 * R4

Solution

In a balanced Wheatstone bridge, the ratio of the resistances in one branch is equal to the ratio in the other branch, hence R1/R2 = R3/R4.

Correct Answer: A — R1/R2 = R3/R4

Q. In a Wheatstone bridge, if the bridge is unbalanced, what happens to the current through the galvanometer?

A. It becomes zero
B. It increases
C. It decreases
D. It oscillates

Solution

When the Wheatstone bridge is unbalanced, a current flows through the galvanometer, indicating a difference in potential across it.

Correct Answer: B — It increases

Q. In a Wheatstone bridge, if the galvanometer shows a current, what can be inferred?

A. The bridge is balanced
B. The bridge is unbalanced
C. The resistances are equal
D. The circuit is open

Solution

A current in the galvanometer indicates that the bridge is unbalanced.

Correct Answer: B — The bridge is unbalanced

Q. In a Wheatstone bridge, if the galvanometer shows a current, what does it indicate?

A. The bridge is balanced
B. The bridge is unbalanced
C. The resistances are equal
D. The circuit is open

Solution

A current in the galvanometer indicates that the bridge is unbalanced.

Correct Answer: B — The bridge is unbalanced

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