Major Competitive Exams

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Major Competitive Exams

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Major Competitive Exams MCQ & Objective Questions

Major Competitive Exams play a crucial role in shaping the academic and professional futures of students in India. These exams not only assess knowledge but also test problem-solving skills and time management. Practicing MCQs and objective questions is essential for scoring better, as they help in familiarizing students with the exam format and identifying important questions that frequently appear in tests.

What You Will Practise Here

Key concepts and theories related to major subjects
Important formulas and their applications
Definitions of critical terms and terminologies
Diagrams and illustrations to enhance understanding
Practice questions that mirror actual exam patterns
Strategies for solving objective questions efficiently
Time management techniques for competitive exams

Exam Relevance

The topics covered under Major Competitive Exams are integral to various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter a mix of conceptual and application-based questions that require a solid understanding of the subjects. Common question patterns include multiple-choice questions that test both knowledge and analytical skills, making it essential to be well-prepared with practice MCQs.

Common Mistakes Students Make

Rushing through questions without reading them carefully
Overlooking the negative marking scheme in MCQs
Confusing similar concepts or terms
Neglecting to review previous years’ question papers
Failing to manage time effectively during the exam

FAQs

Question: How can I improve my performance in Major Competitive Exams?
Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.

Question: What types of questions should I focus on for these exams?
Answer: Concentrate on important Major Competitive Exams questions that frequently appear in past papers and mock tests.

Question: Are there specific strategies for tackling objective questions?
Answer: Yes, practicing under timed conditions and reviewing mistakes can help develop effective strategies.

Start your journey towards success by solving practice MCQs today! Test your understanding and build confidence for your upcoming exams. Remember, consistent practice is the key to mastering Major Competitive Exams!

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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

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

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

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

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

Solution

Wavelength in medium = λ/v = λ0/n = 600 nm / 1.5 = 400 nm.

Correct Answer: A — 400 nm

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°

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°

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°

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°

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°

Solution

Using the formula sin(θc) = n2/n1, we have sin(θc) = 1.00/2.00, leading to θc ≈ 30°.

Correct Answer: C — 60°

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°

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°

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

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

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

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

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

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

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

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

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

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

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

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

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°

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°

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

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

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

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

Q. If the relative humidity is 100%, what does it indicate about the air?

A. Air is saturated
B. Air is dry
C. Air is cold
D. Air is warm

Solution

A relative humidity of 100% indicates that the air is saturated with moisture.

Correct Answer: A — Air is saturated

Q. If the relative humidity is 80% and the temperature is 25°C, what is the dew point temperature approximately? (2023)

A. 20°C
B. 22°C
C. 18°C
D. 15°C

Solution

Using a dew point calculator or approximation, the dew point at 80% relative humidity and 25°C is approximately 22°C.

Correct Answer: B — 22°C

Q. If the relative humidity is 80% and the temperature is 30°C, what is the dew point approximately?

A. 25°C
B. 20°C
C. 15°C
D. 10°C

Solution

Using the formula for dew point, the approximate dew point at 80% humidity and 30°C is around 20°C.

Correct Answer: B — 20°C

Q. If the relative humidity is 80% at a temperature of 25°C, what is the dew point temperature approximately?

A. 20°C
B. 22°C
C. 18°C
D. 15°C

Solution

At 25°C and 80% relative humidity, the dew point is approximately 22°C.

Correct Answer: B — 22°C

Q. If the relative humidity of the air is 60% at 25°C, what is the dew point temperature? (2020)

A. 15°C
B. 20°C
C. 10°C
D. 25°C

Solution

Using the formula for dew point approximation, Dew Point ≈ T - ((100 - RH) / 5) = 25 - ((100 - 60) / 5) = 25 - 8 = 20°C.

Correct Answer: B — 20°C

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.

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.

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

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

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.

Solution

Increasing the resistance in one arm will disturb the balance condition, making the bridge unbalanced.

Correct Answer: B — The bridge will become unbalanced.

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

Solution

Increasing the resistance in one arm will disturb the balance condition, making it unbalanced.

Correct Answer: B — It becomes unbalanced

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

Solution

Using Ohm's law, I = V/R. Here, I = 20 V / 10 Ω = 2 A.

Correct Answer: A — 2 A

Q. If the resistance of a circuit is 10 ohms and the induced EMF is 5 V, what is the induced current? (2022)

A. 0.5 A
B. 1 A
C. 2 A
D. 5 A

Solution

Using Ohm's law, I = V/R = 5 V / 10 ohms = 0.5 A.

Correct Answer: A — 0.5 A

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

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

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

Solution

According to Ohm's Law, I = V/R. If R is doubled, the current I will be halved.

Correct Answer: B — It halves

Q. If the resistance of a conductor is doubled while the voltage remains constant, what happens to the current? (2020)

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

Solution

According to Ohm's Law, if the resistance (R) is doubled and the voltage (V) remains constant, the current (I) will be halved (I = V/R).

Correct Answer: B — It halves

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