Engineering & Architecture Admissions - Exam Prep Guide

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Engineering & Architecture Admissions

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Engineering & Architecture Admissions MCQ & Objective Questions

Engineering & Architecture Admissions play a crucial role in shaping the future of aspiring students in India. With the increasing competition in entrance exams, mastering MCQs and objective questions is essential for effective exam preparation. Practicing these types of questions not only enhances concept clarity but also boosts confidence, helping students score better in their exams.

What You Will Practise Here

Key concepts in Engineering Mathematics
Fundamentals of Physics relevant to architecture and engineering
Important definitions and terminologies in engineering disciplines
Essential formulas for solving objective questions
Diagrams and illustrations for better understanding
Conceptual theories related to structural engineering
Analysis of previous years' important questions

Exam Relevance

The topics covered under Engineering & Architecture Admissions are highly relevant for various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter MCQs that test their understanding of core concepts, application of formulas, and analytical skills. Common question patterns include multiple-choice questions that require selecting the correct answer from given options, as well as assertion-reason type questions that assess deeper comprehension.

Common Mistakes Students Make

Misinterpreting the question stem, leading to incorrect answers.
Overlooking units in numerical problems, which can change the outcome.
Confusing similar concepts or terms, especially in definitions.
Neglecting to review diagrams, which are often crucial for solving problems.
Rushing through practice questions without understanding the underlying concepts.

FAQs

Question: What are the best ways to prepare for Engineering & Architecture Admissions MCQs?
Answer: Regular practice of objective questions, reviewing key concepts, and taking mock tests can significantly enhance your preparation.

Question: How can I improve my accuracy in solving MCQs?
Answer: Focus on understanding the concepts thoroughly, practice regularly, and learn to eliminate incorrect options to improve accuracy.

Start your journey towards success by solving practice MCQs today! Test your understanding and strengthen your knowledge in Engineering & Architecture Admissions to excel in your exams.

JEE Main

Q. In a generator, what is the role of the rotating coil in a magnetic field?

A. To create a magnetic field
B. To induce current
C. To store energy
D. To measure voltage

Solution

In a generator, the rotating coil in a magnetic field induces current through electromagnetic induction, converting mechanical energy into electrical energy.

Correct Answer: B — To induce current

Q. In a geometric series, if the first term is 4 and the common ratio is 3, what is the 4th term?

A. 108
B. 81
C. 64
D. 48

Solution

The nth term of a geometric series is given by a_n = ar^(n-1). Thus, a_4 = 4 * 3^(4-1) = 4 * 27 = 108.

Correct Answer: A — 108

Q. In a gravitational field, the potential energy of an object is maximum at which point?

A. At the surface of the Earth
B. At infinity
C. At the center of the Earth
D. At the highest point in the field

Solution

The gravitational potential energy is considered maximum at infinity, where it is defined to be zero.

Correct Answer: B — At infinity

Q. In a group of 100 people, 60 like cricket, 30 like football, and 10 like both. What is the probability that a person likes football given that they like cricket?

A. 1/6
B. 1/3
C. 1/2
D. 1/4

Solution

P(Football|Cricket) = P(Football and Cricket) / P(Cricket) = 10/60 = 1/6.

Correct Answer: A — 1/6

Q. In a group of 100 people, 60 like football, 30 like basketball, and 10 like both. What is the probability that a person likes football given that they like basketball?

A. 0.5
B. 0.3
C. 0.6
D. 0.7

Solution

Using conditional probability, P(Football | Basketball) = P(Football and Basketball) / P(Basketball) = 10/30 = 1/3.

Correct Answer: C — 0.6

Q. In a group of 50 people, 20 are smokers and 30 are non-smokers. If a person is selected at random, what is the probability that the person is a non-smoker given that they are not a smoker?

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

Solution

If the person is not a smoker, they must be a non-smoker. Therefore, the probability is 1.

Correct Answer: A — 1

Q. In a group of 50 people, 30 like tea, 20 like coffee, and 10 like both. What is the probability that a randomly selected person likes either tea or coffee?

A. 0.4
B. 0.6
C. 0.5
D. 0.7

Solution

Using the principle of inclusion-exclusion, the number of people who like either tea or coffee is 30 + 20 - 10 = 40. The probability is 40/50 = 0.8.

Correct Answer: B — 0.6

Q. In a harmonic oscillator, the total mechanical energy is constant. What is the form of this energy?

A. Kinetic energy only
B. Potential energy only
C. Sum of kinetic and potential energy
D. None of the above

Solution

In a harmonic oscillator, the total mechanical energy is the sum of kinetic and potential energy, which remains constant over time.

Correct Answer: C — Sum of kinetic and potential energy

Q. In a heat engine, if the input heat is 800 J and the work output is 300 J, what is the efficiency?

A. 37.5%
B. 50%
C. 62.5%
D. 75%

Solution

Efficiency = (Work output / Heat input) × 100 = (300 J / 800 J) × 100 = 37.5%.

Correct Answer: C — 62.5%

Q. In a heat engine, if the work done is 200 J and the heat absorbed is 500 J, what is the efficiency?

A. 40%
B. 50%
C. 60%
D. 80%

Solution

Efficiency = (Work done / Heat absorbed) * 100 = (200 J / 500 J) * 100 = 40%.

Correct Answer: B — 50%

Q. In a heat engine, if the work output is 200 J and the heat input is 600 J, what is the efficiency?

A. 33.33%
B. 50%
C. 66.67%
D. 75%

Solution

Efficiency = (Work output / Heat input) × 100 = (200 J / 600 J) × 100 = 33.33%.

Correct Answer: C — 66.67%

Q. In a heat engine, the work done is equal to:

A. Heat absorbed from the hot reservoir
B. Heat rejected to the cold reservoir
C. Heat absorbed minus heat rejected
D. Heat absorbed plus heat rejected

Solution

The work done by a heat engine is equal to the heat absorbed from the hot reservoir minus the heat rejected to the cold reservoir.

Correct Answer: C — Heat absorbed minus heat rejected

Q. In a hydraulic lift, if the input power is 2000 W and the output power is 1800 W, what is the efficiency of the lift?

A. 90%
B. 80%
C. 70%
D. 75%

Solution

Efficiency is calculated as (Output Power / Input Power) * 100%. Here, efficiency = (1800 W / 2000 W) * 100% = 90%.

Correct Answer: B — 80%

Q. In a hydraulic lift, if the input power is 500 W and the efficiency is 80%, what is the output power?

A. 400 W
B. 500 W
C. 600 W
D. 700 W

Solution

Output power can be calculated using the formula: Output Power = Efficiency * Input Power. Here, Output Power = 0.8 * 500 W = 400 W.

Correct Answer: A — 400 W

Q. In a hydrogen atom, the energy levels are quantized. What is the formula for the energy of the nth level?

A. E_n = -13.6/n^2 eV
B. E_n = -13.6n^2 eV
C. E_n = -13.6/n eV
D. E_n = -13.6n eV

Solution

The energy levels of a hydrogen atom are given by E_n = -13.6/n^2 eV, where n is the principal quantum number.

Correct Answer: A — E_n = -13.6/n^2 eV

Q. In a hydrogen atom, what is the energy of the electron in the ground state?

A. -13.6 eV
B. -3.4 eV
C. -1.51 eV
D. 0 eV

Solution

The energy of the electron in the ground state of a hydrogen atom is -13.6 eV.

Correct Answer: A — -13.6 eV

Q. In a hydrogen atom, what is the energy of the electron in the n=2 state?

A. -3.4 eV
B. -13.6 eV
C. -1.51 eV
D. -0.85 eV

Solution

The energy of an electron in a hydrogen atom in the n=2 state is given by E_n = -13.6/n^2 = -13.6/4 = -3.4 eV.

Correct Answer: A — -3.4 eV

Q. In a hydrogen atom, what is the wavelength of the emitted photon when an electron transitions from n=3 to n=2?

A. 656 nm
B. 486 nm
C. 434 nm
D. 410 nm

Solution

Using the Rydberg formula, the wavelength for the transition from n=3 to n=2 is approximately 486 nm.

Correct Answer: B — 486 nm

Q. In a hydrogen atom, which transition emits the photon with the highest energy?

A. n=2 to n=1
B. n=3 to n=2
C. n=4 to n=3
D. n=5 to n=4

Solution

The energy of the emitted photon is highest for the transition from n=2 to n=1, as it involves the largest energy difference.

Correct Answer: A — n=2 to n=1

Q. In a hydrogen atom, which transition would emit the highest energy photon?

A. n=2 to n=1
B. n=3 to n=2
C. n=4 to n=3
D. n=5 to n=4

Solution

The energy of the photon emitted is highest for the transition from n=2 to n=1, as it involves the largest energy difference.

Correct Answer: A — n=2 to n=1

Q. In a hydrogen atom, which transition would emit the photon with the highest energy?

A. n=2 to n=1
B. n=3 to n=2
C. n=4 to n=3
D. n=5 to n=4

Solution

The energy of the emitted photon is highest for the transition from n=2 to n=1, as it involves the largest energy difference.

Correct Answer: A — n=2 to n=1

Q. In a lab experiment, the density of a liquid is measured as 1.2 g/cm³ with an uncertainty of ±0.05 g/cm³. What is the relative error?

A. 4.17%
B. 3.33%
C. 5.00%
D. 2.50%

Solution

Relative error = (Uncertainty / Measured value) * 100 = (0.05 / 1.2) * 100 = 4.17%.

Correct Answer: A — 4.17%

Q. In a lab experiment, the speed of sound is measured as 340 m/s with an uncertainty of ±2 m/s. What is the total uncertainty if the speed is used in a calculation involving division by 2?

A. ±1 m/s
B. ±2 m/s
C. ±0.5 m/s
D. ±0.25 m/s

Solution

Total uncertainty = (2 m/s) / 2 = ±1 m/s.

Correct Answer: A — ±1 m/s

Q. In a lab experiment, the speed of sound is measured as 340 m/s with an uncertainty of ±5 m/s. What is the percentage uncertainty in this measurement?

A. 1.47%
B. 1.5%
C. 2%
D. 0.5%

Solution

Percentage uncertainty = (absolute uncertainty / measured value) * 100 = (5 / 340) * 100 ≈ 1.47%.

Correct Answer: B — 1.5%

Q. In a liquid drop, the shape is spherical due to which property?

A. Viscosity
B. Surface tension
C. Density
D. Pressure

Solution

The spherical shape of a liquid drop minimizes the surface area, which is a result of surface tension acting to reduce the energy of the surface.

Correct Answer: B — Surface tension

Q. In a lottery, 10 tickets are sold. If you buy 1 ticket, what is the probability of winning?

A. 1/10
B. 1/5
C. 1/2
D. 1/20

Solution

There is 1 winning ticket out of 10. Probability = 1/10.

Correct Answer: A — 1/10

Q. In a lottery, there are 10 tickets, and 3 of them are winning tickets. If one ticket is drawn at random, what is the probability that it is a winning ticket?

A. 1/10
B. 1/3
C. 3/10
D. 7/10

Solution

The probability of drawing a winning ticket is 3/10.

Correct Answer: C — 3/10

Q. In a lottery, there are 10 tickets, and 3 of them are winning tickets. What is the probability of selecting a winning ticket?

A. 1/10
B. 3/10
C. 1/3
D. 1/5

Solution

The probability of selecting a winning ticket is the number of winning tickets divided by the total number of tickets, which is 3/10.

Correct Answer: B — 3/10

Q. In a lottery, there are 10 tickets, of which 2 are winning tickets. What is the probability of selecting a winning ticket?

A. 1/5
B. 1/10
C. 1/2
D. 2/10

Solution

The probability of selecting a winning ticket is the number of winning tickets divided by the total number of tickets, which is 2/10 = 1/5.

Correct Answer: B — 1/10

Q. In a lottery, there are 10 tickets, of which 3 are winning tickets. What is the probability of selecting a winning ticket?

A. 1/10
B. 1/3
C. 3/10
D. 7/10

Solution

The probability of selecting a winning ticket is the number of winning tickets divided by the total number of tickets, which is 3/10.

Correct Answer: C — 3/10

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