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. If the wavelength of light is halved, what happens to its frequency? (2021)

A. It is halved
B. It remains the same
C. It is doubled
D. It is quadrupled

Solution

Frequency (f) is inversely proportional to wavelength (λ). If λ is halved, f is doubled.

Correct Answer: C — It is doubled

Q. If the wavelength of light is halved, what happens to the energy of the photons? (2020)

A. It is halved
B. It is doubled
C. It remains the same
D. It is quadrupled

Solution

Energy is inversely proportional to wavelength. Halving the wavelength doubles the energy.

Correct Answer: B — It is doubled

Q. If the wavelength of light used in a diffraction grating is increased, what happens to the angular separation of the fringes? (2023)

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

Solution

The angular separation (θ) is directly proportional to the wavelength (λ). Therefore, increasing λ increases the angular separation.

Correct Answer: A — Increases

Q. If the wavelength of light used in a double-slit experiment is increased, what happens to the fringe separation? (2022)

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

Solution

Fringe separation is directly proportional to the wavelength. If the wavelength increases, the fringe separation also increases.

Correct Answer: A — Increases

Q. If the wavelength of light used in a double-slit experiment is increased, what happens to the distance between the fringes? (2022)

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

Solution

The fringe width is directly proportional to the wavelength. Therefore, increasing the wavelength increases the distance between the fringes.

Correct Answer: A — Increases

Q. If the wavelength of light used in a single-slit diffraction experiment is increased, what will happen to the position of the first minimum? (2022)

A. It moves closer to the center
B. It moves away from the center
C. It remains unchanged
D. It disappears

Solution

The position of the first minimum in single-slit diffraction is given by a sin(θ) = λ. Increasing λ will cause θ to increase, moving the minimum away from the center.

Correct Answer: B — It moves away from the center

Q. If the wavelength of light used in a single-slit diffraction experiment is increased, what happens to the width of the central maximum? (2023)

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

Solution

The width of the central maximum in single-slit diffraction is directly proportional to the wavelength. Increasing the wavelength increases the width.

Correct Answer: B — It increases

Q. If two charges +Q and -Q are placed at a distance 'd' apart, what is the electric field at the midpoint? (2020)

A. 0
B. kQ/d^2
C. kQ/(2d^2)
D. kQ/d

Solution

At the midpoint, the electric fields due to +Q and -Q cancel each other out, resulting in a net electric field of 0.

Correct Answer: A — 0

Q. If two coins are tossed, what is the probability of getting at least one tail? (2023)

A. 1/4
B. 1/2
C. 3/4
D. 1/3

Solution

The possible outcomes are HH, HT, TH, TT. The outcomes with at least one tail are HT, TH, TT (3 outcomes). So, the probability is 3/4.

Correct Answer: C — 3/4

Q. If two dice are rolled, what is the probability that the sum is 7?

A. 1/6
B. 1/12
C. 1/36
D. 5/36

Solution

Possible combinations for sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 combinations. Total outcomes = 36. Probability = 6/36 = 1/6.

Correct Answer: D — 5/36

Q. If two identical capacitors of 4 µF each are connected in series, what is the equivalent capacitance?

A. 2 µF
B. 4 µF
C. 6 µF
D. 8 µF

Solution

C_eq = 1 / (1/C1 + 1/C2) = 1 / (1/4 + 1/4) = 2 µF.

Correct Answer: A — 2 µF

Q. If two resistors of 4Ω and 6Ω are connected in series, what is the total resistance? (2023)

A. 10Ω
B. 24Ω
C. 2.4Ω
D. 12Ω

Solution

In series, R_eq = R1 + R2 = 4Ω + 6Ω = 10Ω.

Correct Answer: A — 10Ω

Q. If two resistors of 4Ω and 6Ω are connected in series, what is the total voltage across them if the current is 2A? (2022)

A. 20V
B. 12V
C. 8V
D. 10V

Solution

Total resistance R = 4Ω + 6Ω = 10Ω. Voltage V = I * R = 2A * 10Ω = 20V.

Correct Answer: A — 20V

Q. If U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A'?

A. {3, 4, 5}
B. {1, 2}
C. {1, 2, 3}
D. {}

Solution

The complement A' consists of all elements in U that are not in A. Therefore, A' = {3, 4, 5}.

Correct Answer: A — {3, 4, 5}

Q. If x = 3, what is the value of 2x^2 - 5x + 1? (2022)

A. -2
B. 0
C. 4
D. 6

Solution

2(3^2) - 5(3) + 1 = 18 - 15 + 1 = 4.

Correct Answer: D — 6

Q. If x = 5, what is the value of 2x + 3? (2022)

A. 10
B. 13
C. 8
D. 15

Solution

Substituting x = 5, we get 2(5) + 3 = 10 + 3 = 13.

Correct Answer: B — 13

Q. If x = 5, what is the value of 3x + 2? (2022)

A. 17
B. 15
C. 20
D. 18

Solution

3(5) + 2 = 15 + 2 = 17.

Correct Answer: A — 17

Q. If you have 0.25 moles of sulfuric acid (H2SO4), what is its mass? (2023)

A. 49 g
B. 98 g
C. 25 g
D. 12.5 g

Solution

Molar mass of H2SO4 = 2*1 + 32 + 4*16 = 98 g/mol. Mass = 0.25 moles x 98 g/mol = 24.5 g.

Correct Answer: B — 98 g

Q. If z = -2 + 2i, what is the value of |z|? (2019)

A. 2√2
B. 4
C. 2
D. √2

Solution

|z| = √((-2)^2 + (2)^2) = √(4 + 4) = √8 = 2√2.

Correct Answer: A — 2√2

Q. If z = 1 + i, what is the value of z^2? (2022)

A. 2i
B. 1 + 2i
C. 2
D. 0

Solution

z^2 = (1 + i)^2 = 1^2 + 2(1)(i) + i^2 = 1 + 2i - 1 = 2i.

Correct Answer: B — 1 + 2i

Q. If z = 1 + i, what is the value of z²? (2022)

A. 0
B. 2i
C. 2
D. 1 + 2i

Solution

z² = (1 + i)² = 1² + 2(1)(i) + i² = 1 + 2i - 1 = 2i.

Correct Answer: D — 1 + 2i

Q. If z = 1 + √3i, what is the argument of z? (2015)

A. π/3
B. π/6
C. 2π/3
D. 3π/4

Solution

The argument is given by tan^(-1)(√3/1) = π/3.

Correct Answer: A — π/3

Q. If z = 2 + 2i, what is |z|^2? (2021)

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

Solution

|z|^2 = (2^2 + 2^2) = 4 + 4 = 8.

Correct Answer: A — 8

Q. If z = 2 - 3i, what is the conjugate of z? (2020)

A. 2 + 3i
B. 2 - 3i
C. -2 + 3i
D. -2 - 3i

Solution

The conjugate of z = 2 - 3i is 2 + 3i.

Correct Answer: A — 2 + 3i

Q. If z = 3 + 4i, what is the imaginary part of z? (2022) 2022

A. 3
B. 4
C. 7
D. 1

Solution

The imaginary part of the complex number z = 3 + 4i is 4.

Correct Answer: B — 4

Q. If z = 3 + 4i, what is the value of z + z* (where z* is the conjugate of z)? (2017)

A. 6
B. 8
C. 12
D. 0

Solution

z + z* = (3 + 4i) + (3 - 4i) = 6.

Correct Answer: B — 8

Q. If z = 3 + 4i, what is the value of z + z̅? (2022)

A. 6
B. 8
C. 7
D. 5

Solution

z + z̅ = (3 + 4i) + (3 - 4i) = 6.

Correct Answer: B — 8

Q. If z = 3 + 4i, what is the value of |z|^2? (2019)

A. 25
B. 7
C. 12
D. 16

Solution

|z|^2 = 3^2 + 4^2 = 9 + 16 = 25.

Correct Answer: A — 25

Q. If z = 4 + 3i, what is the real part of z? (2023)

A. 4
B. 3
C. 7
D. 1

Solution

The real part of the complex number z = 4 + 3i is 4.

Correct Answer: A — 4

Q. If z = 5 + 12i, what is the argument of z? (2022)

A. arctan(12/5)
B. arctan(5/12)
C. π/2
D. 0

Solution

The argument of z = 5 + 12i is given by arctan(12/5).

Correct Answer: A — arctan(12/5)

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