Engineering Entrance Exam Preparation Resources

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Engineering Entrance MCQ & Objective Questions

Preparing for Engineering Entrance exams is crucial for aspiring engineers in India. Mastering MCQs and objective questions not only enhances your understanding of key concepts but also boosts your confidence during exams. Regular practice with these questions helps identify important topics and improves your overall exam preparation.

What You Will Practise Here

Fundamental concepts of Physics and Mathematics
Key formulas and their applications in problem-solving
Important definitions and theorems relevant to engineering
Diagrams and graphical representations for better understanding
Conceptual questions that challenge your critical thinking
Previous years' question papers and their analysis
Time management strategies while solving MCQs

Exam Relevance

The Engineering Entrance syllabus is integral to various examinations like CBSE, State Boards, NEET, and JEE. Questions often focus on core subjects such as Physics, Chemistry, and Mathematics, with formats varying from direct MCQs to application-based problems. Understanding the common question patterns can significantly enhance your performance and help you tackle the exams with ease.

Common Mistakes Students Make

Overlooking the importance of units and dimensions in calculations
Misinterpreting questions due to lack of careful reading
Neglecting to review basic concepts before attempting advanced problems
Rushing through practice questions without thorough understanding

FAQs

Question: What are the best ways to prepare for Engineering Entrance MCQs?
Answer: Focus on understanding concepts, practice regularly with objective questions, and review previous years' papers.

Question: How can I improve my speed in solving MCQs?
Answer: Regular practice, time-bound mock tests, and familiarizing yourself with common question types can help improve your speed.

Start your journey towards success by solving Engineering Entrance MCQ questions today! Test your understanding and build a strong foundation for your exams.

MHT-CET

Q. The half-life of a first-order reaction is independent of the initial concentration of the reactant. What is the formula for the half-life (t1/2) of a first-order reaction? (2020)

A. t1/2 = 0.693/k
B. t1/2 = k/0.693
C. t1/2 = 1/k
D. t1/2 = k/1

Solution

The half-life of a first-order reaction is given by the formula t1/2 = 0.693/k, where k is the rate constant.

Correct Answer: A — t1/2 = 0.693/k

Q. The half-life of a first-order reaction is independent of the initial concentration of the reactant. What is the expression for the half-life (t1/2) of a first-order reaction? (2020)

A. t1/2 = 0.693/k
B. t1/2 = k/0.693
C. t1/2 = 1/k
D. t1/2 = k/1

Solution

The half-life of a first-order reaction is given by the formula t1/2 = 0.693/k, which shows that it is independent of the initial concentration.

Correct Answer: A — t1/2 = 0.693/k

Q. The Langmuir isotherm assumes that adsorption occurs at specific sites on the surface. What does this imply? (2020)

A. Adsorption is uniform.
B. Adsorption is multilayered.
C. Adsorption is monolayered.
D. Adsorption is temperature dependent.

Solution

The Langmuir isotherm assumes that adsorption occurs at specific sites, leading to a monolayer coverage of the adsorbate.

Correct Answer: C — Adsorption is monolayered.

Q. The Langmuir isotherm assumes that adsorption occurs at specific sites on the surface. What is the maximum coverage called? (2021)

A. Saturation
B. Monolayer
C. Multilayer
D. Equilibrium

Solution

In the Langmuir isotherm, the maximum coverage of adsorbate on the adsorbent is referred to as a monolayer.

Correct Answer: B — Monolayer

Q. The maximum displacement of a wave from its rest position is called what? (2022)

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

Solution

The maximum displacement from the rest position is defined as the amplitude of the wave.

Correct Answer: A — Amplitude

Q. The quadratic equation x² + 4x + 4 = 0 has how many distinct roots? (2021)

A. 0
B. 1
C. 2
D. 3

Solution

The discriminant is 4² - 4*1*4 = 0, indicating one distinct root.

Correct Answer: B — 1

Q. The rate constant of a reaction is affected by which of the following? (2023)

A. Nature of the reactants
B. Temperature
C. Catalysts
D. All of the above

Solution

The rate constant of a reaction is affected by the nature of the reactants, temperature, and the presence of catalysts.

Correct Answer: D — All of the above

Q. The resonant frequency of an RLC circuit is given by which formula? (2022)

A. f = 1/(2π√(LC))
B. f = 2π√(LC)
C. f = LC
D. f = R/(2πL)

Solution

The resonant frequency f of an RLC circuit is given by f = 1/(2π√(LC)).

Correct Answer: A — f = 1/(2π√(LC))

Q. The roots of the equation x² + 2x + k = 0 are real and distinct if k is: (2020)

A. < 1
B. ≥ 1
C. ≤ 1
D. > 1

Solution

For real and distinct roots, the discriminant must be positive: 2² - 4*1*k > 0, which simplifies to k < 1.

Correct Answer: A — < 1

Q. The roots of the equation x² + 4x + 4 = 0 are: (2020)

A. -2 and -2
B. 2 and 2
C. 0 and 4
D. 1 and 3

Solution

The equation can be factored as (x + 2)² = 0, giving the double root x = -2.

Correct Answer: A — -2 and -2

Q. The roots of the equation x² + 4x + k = 0 are 2 and -6. What is the value of k? (2021)

A. -12
B. -8
C. -10
D. -14

Solution

Using the product of roots: k = 2 * (-6) = -12. The sum is 2 + (-6) = -4, which matches.

Correct Answer: B — -8

Q. The roots of the equation x² - 8x + k = 0 are 4 and 4. Find k. (2021)

A. 16
B. 8
C. 0
D. 4

Solution

Using the product of roots: k = 4 * 4 = 16.

Correct Answer: A — 16

Q. The unit of electric charge in the SI system is: (2022)

A. Coulomb
B. Ampere
C. Volt
D. Ohm

Solution

Coulomb (C) is the SI unit of electric charge.

Correct Answer: A — Coulomb

Q. The unit of energy equivalent to 1 Joule is: (2023)

A. 1 kg·m²/s²
B. 1 N·m
C. Both 1 kg·m²/s² and 1 N·m
D. None of the above

Solution

1 Joule is defined as 1 kg·m²/s² and also equals 1 N·m, hence both are correct.

Correct Answer: C — Both 1 kg·m²/s² and 1 N·m

Q. The unit of energy in the CGS system is: (2020)

A. Joule
B. Erg
C. Calorie
D. Watt

Solution

In the CGS system, the unit of energy is Erg, where 1 Joule = 10^7 Ergs.

Correct Answer: B — Erg

Q. The unit of energy in the SI system is equivalent to which of the following? (2020)

A. Joule
B. Newton-meter
C. Both A and B
D. None of the above

Solution

Energy is measured in Joules, and 1 Joule is defined as 1 Newton-meter, hence both A and B are correct.

Correct Answer: C — Both A and B

Q. What are the roots of the equation 3x² - 12x + 12 = 0? (2019)

A. 2
B. 4
C. 0
D. 3

Solution

Dividing the equation by 3 gives x² - 4x + 4 = 0, which factors to (x - 2)² = 0, hence the root is 2.

Correct Answer: B — 4

Q. What are the roots of the equation x² - 2x - 8 = 0? (2022)

A. -2 and 4
B. 2 and -4
C. 4 and -2
D. 0 and 8

Solution

Factoring gives (x - 4)(x + 2) = 0, hence the roots are 4 and -2.

Correct Answer: C — 4 and -2

Q. What are the roots of the equation x² - 5x + 6 = 0? (2021)

A. 1 and 6
B. 2 and 3
C. 3 and 2
D. 0 and 5

Solution

The roots can be found using the factorization method: (x - 2)(x - 3) = 0, hence the roots are 2 and 3.

Correct Answer: B — 2 and 3

Q. What does the term 'enthalpy' refer to? (2020)

A. Internal energy plus pressure times volume
B. Heat content of a system at constant pressure
C. Total energy of a system
D. Work done by the system

Solution

Enthalpy refers to the heat content of a system at constant pressure, defined as internal energy plus pressure times volume.

Correct Answer: B — Heat content of a system at constant pressure

Q. What happens to the capacitance of a parallel plate capacitor if the distance between the plates is increased? (2020)

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

Solution

The capacitance (C) of a parallel plate capacitor is inversely proportional to the distance (d) between the plates. If d increases, C decreases.

Correct Answer: B — It decreases

Q. What happens to the entropy of an isolated system? (2020) 2020

A. It decreases
B. It remains constant
C. It increases
D. It can either increase or decrease

Solution

According to the second law of thermodynamics, the entropy of an isolated system always increases over time.

Correct Answer: C — It increases

Q. What happens to the induced current if the magnetic field is suddenly removed from a coil? (2022)

A. It continues to flow
B. It stops immediately
C. It increases
D. It decreases gradually

Solution

If the magnetic field is suddenly removed, the change in magnetic flux becomes zero, leading to an immediate stop in the induced current.

Correct Answer: B — It stops immediately

Q. What happens to the magnetic field lines when a magnet is cut into two pieces? (2021)

A. They disappear
B. They become weaker
C. Each piece becomes a magnet with its own field
D. They merge into one

Solution

When a magnet is cut into two pieces, each piece becomes a magnet with its own north and south poles, thus maintaining the magnetic field lines.

Correct Answer: C — Each piece becomes a magnet with its own field

Q. What happens to the magnetic field strength inside a solenoid if the number of turns per unit length is increased? (2023)

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

Solution

The magnetic field strength inside a solenoid is directly proportional to the number of turns per unit length. Therefore, if the number of turns per unit length is increased, the magnetic field strength also increases.

Correct Answer: B — It increases

Q. What happens to the magnetic field strength inside a solenoid if the number of turns is increased? (2023)

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

Solution

The magnetic field strength inside a solenoid increases with the number of turns, as it is directly proportional to the number of turns per unit length.

Correct Answer: C — It increases

Q. What happens to the magnetic field when the current in a solenoid is reversed? (2023)

A. It remains the same
B. It disappears
C. It reverses direction
D. It doubles

Solution

When the current in a solenoid is reversed, the direction of the magnetic field also reverses.

Correct Answer: C — It reverses direction

Q. What happens to the magnetic field when the current in a wire is reversed? (2023)

A. It remains the same
B. It doubles
C. It reverses direction
D. It disappears

Solution

When the current in a wire is reversed, the direction of the magnetic field also reverses.

Correct Answer: C — It reverses direction

Q. What happens to the magnetic field when the distance from a long straight conductor is doubled? (2023)

A. It doubles
B. It halves
C. It remains the same
D. It quadruples

Solution

The magnetic field around a long straight conductor decreases with distance. Specifically, it is inversely proportional to the distance from the conductor.

Correct Answer: B — It halves

Q. What happens to the particles in a gas when the temperature increases? (2023)

A. They move slower
B. They move faster
C. They stay the same
D. They condense

Solution

As the temperature increases, the kinetic energy of gas particles increases, causing them to move faster.

Correct Answer: B — They move faster

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