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.
Q. If the refractive index of a medium is 1.33, what is the maximum angle of incidence for total internal reflection when light travels to air?
A.
41.8°
B.
48.6°
C.
53.1°
D.
60.0°
Show solution
Solution
The critical angle θc can be calculated as θc = sin^(-1)(n2/n1) = sin^(-1)(1.00/1.33) ≈ 48.6°.
Correct Answer:
A
— 41.8°
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Q. If the refractive index of a medium is 1.33, what is the speed of light in that medium if the speed of light in vacuum is 3 x 10^8 m/s?
A.
2.25 x 10^8 m/s
B.
2.5 x 10^8 m/s
C.
2.75 x 10^8 m/s
D.
3 x 10^8 m/s
Show solution
Solution
Speed of light in medium = c/n = (3 x 10^8 m/s) / 1.33 ≈ 2.25 x 10^8 m/s.
Correct Answer:
A
— 2.25 x 10^8 m/s
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Q. If the refractive index of a medium is 1.5, what is the maximum angle of incidence for total internal reflection when light travels to air?
A.
41.8°
B.
48.6°
C.
60.0°
D.
90.0°
Show solution
Solution
The critical angle θc is given by sin(θc) = n2/n1 = 1/1.5, which gives θc ≈ 41.8°.
Correct Answer:
A
— 41.8°
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Q. If the refractive index of a medium is 1.5, what is the speed of light in that medium? (Speed of light in vacuum = 3 x 10^8 m/s)
A.
2 x 10^8 m/s
B.
1.5 x 10^8 m/s
C.
3 x 10^8 m/s
D.
4.5 x 10^8 m/s
Show solution
Solution
Speed of light in medium = c/n = (3 x 10^8 m/s) / 1.5 = 2 x 10^8 m/s.
Correct Answer:
A
— 2 x 10^8 m/s
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Q. If the refractive index of a medium is 1.5, what is the speed of light in that medium?
A.
2 x 10^8 m/s
B.
3 x 10^8 m/s
C.
1.5 x 10^8 m/s
D.
4.5 x 10^8 m/s
Show solution
Solution
The speed of light in a medium is given by v = c/n. Here, c = 3 x 10^8 m/s and n = 1.5, so v = 3 x 10^8 / 1.5 = 2 x 10^8 m/s.
Correct Answer:
A
— 2 x 10^8 m/s
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Q. If the refractive index of a medium is 1.5, what is the wavelength of light in that medium if the wavelength in vacuum is 600 nm?
A.
400 nm
B.
600 nm
C.
800 nm
D.
900 nm
Show solution
Solution
Wavelength in medium = λ/v = λ0/n = 600 nm / 1.5 = 400 nm.
Correct Answer:
A
— 400 nm
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Q. If the refractive index of a medium is 2.0, what is the critical angle for total internal reflection at the interface with air?
A.
30°
B.
45°
C.
60°
D.
90°
Show solution
Solution
Using the formula sin(θc) = n2/n1, we have sin(θc) = 1.00/2.00, leading to θc ≈ 30°.
Correct Answer:
C
— 60°
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Q. If the refractive index of a medium is 2.0, what is the critical angle for total internal reflection?
A.
30°
B.
45°
C.
60°
D.
90°
Show solution
Solution
Using the formula θc = sin^(-1)(1/n), where n = 2.0, we find θc = sin^(-1)(1/2) = 30°.
Correct Answer:
C
— 60°
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Q. If the refractive index of a medium is 2.0, what is the critical angle for total internal reflection when light travels from this medium to air?
A.
30°
B.
45°
C.
60°
D.
90°
Show solution
Solution
Using the formula sin(θc) = n2/n1, where n1 = 2.0 (medium) and n2 = 1.0 (air), we find sin(θc) = 1.0/2.0 = 0.5, leading to θc = 60°.
Correct Answer:
C
— 60°
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Q. If the refractive index of a medium is 2.0, what is the maximum angle of incidence for total internal reflection when light travels to air?
A.
30°
B.
45°
C.
60°
D.
90°
Show solution
Solution
Critical angle θc = sin⁻¹(n2/n1) = sin⁻¹(1.00/2.00) ≈ 30°; thus, maximum angle of incidence for total internal reflection is 60°.
Correct Answer:
C
— 60°
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Q. If the refractive index of a medium is greater than 1, how does it affect the speed of light in that medium?
A.
Increases speed
B.
Decreases speed
C.
No effect
D.
Depends on wavelength
Show solution
Solution
The speed of light in a medium is given by v = c/n, where n is the refractive index. If n > 1, the speed decreases.
Correct Answer:
B
— Decreases speed
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Q. If the refractive index of a medium is greater than 1, what happens to the speed of light in that medium?
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes infinite
Show solution
Solution
The speed of light in a medium is given by v = c/n, where n is the refractive index. If n > 1, then v < c, meaning the speed decreases.
Correct Answer:
B
— It decreases
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Q. If the refractive index of a medium is greater than 1, what happens to the speed of light in that medium compared to vacuum?
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes infinite
Show solution
Solution
The speed of light in a medium is less than that in vacuum, given by v = c/n, where n > 1.
Correct Answer:
B
— It decreases
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Q. If the refractive index of a medium is greater than 1, what happens to the wavelength of light in that medium compared to its wavelength in vacuum?
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes zero
Show solution
Solution
The wavelength of light decreases in a medium with a refractive index greater than 1, as it is given by λ' = λ/n.
Correct Answer:
B
— It decreases
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Q. If the refractive index of a medium is greater than 1, what happens to the wavelength of light in that medium?
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes zero
Show solution
Solution
The wavelength of light decreases in a medium with a refractive index greater than 1, as λ' = λ/n.
Correct Answer:
B
— It decreases
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Q. If the refractive index of a thin film is greater than that of the surrounding medium, what happens to the phase of the reflected wave?
A.
No phase change
B.
Phase change of π
C.
Phase change of 2π
D.
Phase change of λ/2
Show solution
Solution
When light reflects off a medium with a higher refractive index, it undergoes a phase change of π (180 degrees).
Correct Answer:
B
— Phase change of π
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Q. If the refractive index of diamond is 2.42, what is the critical angle for total internal reflection when light travels from diamond to air?
A.
24.4°
B.
30.0°
C.
36.9°
D.
41.8°
Show solution
Solution
Using the formula sin(θc) = n2/n1, where n1 = 2.42 (diamond) and n2 = 1.00 (air), we find θc ≈ 24.4°.
Correct Answer:
A
— 24.4°
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Q. If the relation R on set A = {1, 2, 3} is defined as R = {(1, 1), (2, 2), (3, 3)}, is R reflexive?
A.
Yes
B.
No
C.
Only for 1
D.
Only for 2
Show solution
Solution
A relation is reflexive if every element in the set is related to itself. Here, R includes (1, 1), (2, 2), and (3, 3), so R is reflexive.
Correct Answer:
A
— Yes
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Q. If the relation R on set A = {1, 2, 3} is defined as R = {(1, 2), (2, 3)}, is R reflexive?
A.
Yes
B.
No
C.
Depends on A
D.
None of the above
Show solution
Solution
A relation is reflexive if every element is related to itself. Here, (1,1), (2,2), and (3,3) are not in R, so R is not reflexive.
Correct Answer:
B
— No
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Q. If the resistance in a circuit is doubled while keeping the voltage constant, what happens to the current?
A.
It doubles.
B.
It halves.
C.
It remains the same.
D.
It quadruples.
Show solution
Solution
According to Ohm's Law (I = V/R), if resistance (R) is doubled and voltage (V) remains constant, the current (I) will be halved.
Correct Answer:
B
— It halves.
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Q. If the resistance in a circuit is doubled while the voltage remains constant, what happens to the current?
A.
Doubles
B.
Halves
C.
Remains the same
D.
Increases exponentially
Show solution
Solution
According to Ohm's law (V = IR), if resistance (R) is doubled and voltage (V) remains constant, the current (I) will be halved.
Correct Answer:
B
— Halves
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Q. If the resistance in one arm of a Wheatstone bridge is increased, what effect does it have on the balance condition?
A.
The bridge will always remain balanced.
B.
The bridge will become unbalanced.
C.
The balance condition will improve.
D.
It has no effect.
Show solution
Solution
Increasing the resistance in one arm will disturb the balance condition, making the bridge unbalanced.
Correct Answer:
B
— The bridge will become unbalanced.
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Q. If the resistance in one arm of a Wheatstone bridge is increased, what happens to the balance condition?
A.
It remains balanced
B.
It becomes unbalanced
C.
It depends on other resistances
D.
It becomes short-circuited
Show solution
Solution
Increasing the resistance in one arm will disturb the balance condition, making it unbalanced.
Correct Answer:
B
— It becomes unbalanced
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Q. If the resistance of a circuit is 10 ohms and the induced EMF is 20 V, what is the induced current?
A.
2 A
B.
0.5 A
C.
10 A
D.
5 A
Show solution
Solution
Using Ohm's law, I = V/R. Here, I = 20 V / 10 Ω = 2 A.
Correct Answer:
A
— 2 A
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Q. If the resistance of a circuit is doubled while keeping the induced EMF constant, what happens to the induced current?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It becomes zero
Show solution
Solution
According to Ohm's law (I = V/R), if the resistance is doubled while the voltage (induced EMF) remains constant, the current will be halved.
Correct Answer:
B
— It halves
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Q. If the resistance of a circuit is doubled while the voltage remains constant, what happens to the current?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
According to Ohm's Law, I = V/R. If R is doubled, the current I will be halved.
Correct Answer:
B
— It halves
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Q. If the resistance of a wire is doubled, how does it affect the current flowing through it when connected to a constant voltage source?
A.
Current doubles
B.
Current halves
C.
Current remains the same
D.
Current quadruples
Show solution
Solution
According to Ohm's law, if resistance is doubled and voltage remains constant, current will be halved.
Correct Answer:
B
— Current halves
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Q. If the resistance of a wire is doubled, what happens to the current flowing through it if the voltage remains constant?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
According to Ohm's law, if resistance increases while voltage remains constant, current decreases.
Correct Answer:
B
— It halves
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Q. If the resistance of a wire is doubled, what happens to the current flowing through it when the voltage remains constant?
A.
Doubles
B.
Halves
C.
Remains the same
D.
Increases by 50%
Show solution
Solution
According to Ohm's law, if resistance increases while voltage remains constant, current decreases.
Correct Answer:
B
— Halves
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Q. If the resistance of one arm of a Wheatstone bridge is increased, what effect does it have on the balance condition?
A.
It remains balanced
B.
It becomes unbalanced
C.
It depends on the other resistances
D.
It increases the current
Show solution
Solution
Increasing the resistance in one arm will disturb the balance condition, making the bridge unbalanced.
Correct Answer:
B
— It becomes unbalanced
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