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. What is the relationship between the frequency and the period of a simple harmonic oscillator?

A. f = T
B. f = 1/T
C. f = T^2
D. f = 2T

Solution

The frequency (f) is the reciprocal of the period (T), so f = 1/T.

Correct Answer: B — f = 1/T

Q. What is the relationship between the frequency and the period of a wave? (2021)

A. Frequency is the square of the period
B. Period is the reciprocal of frequency
C. Frequency and period are unrelated
D. Period is the square root of frequency

Solution

The period T is the reciprocal of frequency f, given by T = 1/f.

Correct Answer: B — Period is the reciprocal of frequency

Q. What is the relationship between the frequency and wavelength of a wave?

A. Frequency = Wavelength × Speed
B. Wavelength = Speed / Frequency
C. Speed = Frequency × Wavelength
D. All of the above

Solution

The relationship is given by the equation Speed = Frequency × Wavelength, which can be rearranged to show the other relationships.

Correct Answer: D — All of the above

Q. What is the relationship between the frequency of incident light and the number of emitted electrons in the photoelectric effect?

A. Directly proportional
B. Inversely proportional
C. No relationship
D. Exponential relationship

Solution

The number of emitted electrons is related to the intensity of light, not the frequency, as long as the frequency is above the threshold.

Correct Answer: C — No relationship

Q. What is the relationship between the Gibbs free energy change (ΔG) and the equilibrium constant (K)?

A. ΔG = -RT ln(K)
B. ΔG = RT ln(K)
C. ΔG = K - RT
D. ΔG = 0 at equilibrium

Solution

The relationship is given by the equation ΔG = -RT ln(K), where R is the gas constant and T is the temperature in Kelvin.

Correct Answer: A — ΔG = -RT ln(K)

Q. What is the relationship between the Gibbs free energy change (ΔG) and the equilibrium constant (K) at standard conditions?

A. ΔG = RT ln K
B. ΔG = -RT ln K
C. ΔG = KRT
D. ΔG = K/R

Solution

ΔG = -RT ln K relates Gibbs free energy change to the equilibrium constant.

Correct Answer: B — ΔG = -RT ln K

Q. What is the relationship between the harmonic mean and the terms of a harmonic progression?

A. It is the average of the terms.
B. It is the reciprocal of the arithmetic mean of the reciprocals.
C. It is the sum of the terms.
D. It is the product of the terms.

Solution

The harmonic mean of a set of numbers is the reciprocal of the arithmetic mean of their reciprocals.

Correct Answer: B — It is the reciprocal of the arithmetic mean of the reciprocals.

Q. What is the relationship between the height of a satellite and its orbital period?

A. Directly proportional
B. Inversely proportional
C. No relationship
D. Exponential relationship

Solution

The orbital period T of a satellite is related to its height h by T ∝ h^(3/2), which indicates that the period is inversely proportional to the square root of the gravitational force acting on it.

Correct Answer: B — Inversely proportional

Q. What is the relationship between the intensity of light and the energy of individual photons in the photoelectric effect?

A. Directly proportional
B. Inversely proportional
C. Independent
D. Depends on frequency

Solution

The energy of individual photons is dependent on frequency (E = hν) and not on intensity.

Correct Answer: C — Independent

Q. What is the relationship between the magnetic field and the distance from a long straight wire carrying current?

A. Directly proportional
B. Inversely proportional
C. Independent
D. Exponential

Solution

The magnetic field around a long straight wire is inversely proportional to the distance from the wire, as given by B = μ₀I/2πr.

Correct Answer: B — Inversely proportional

Q. What is the relationship between the magnetic field and the enclosed current according to Ampere's Law?

A. B is proportional to the square of the current
B. B is inversely proportional to the current
C. B is directly proportional to the current
D. B is independent of the current

Solution

According to Ampere's Law, the magnetic field B is directly proportional to the enclosed current.

Correct Answer: C — B is directly proportional to the current

Q. What is the relationship between the mean free path (λ) and the diameter (d) of gas molecules?

A. λ ∝ d^2
B. λ ∝ 1/d
C. λ ∝ d
D. λ ∝ d^3

Solution

The mean free path (λ) is inversely proportional to the diameter (d) of the gas molecules, meaning λ ∝ 1/d.

Correct Answer: B — λ ∝ 1/d

Q. What is the relationship between the mean free path and the density of gas molecules?

A. Mean free path increases with density
B. Mean free path decreases with density
C. Mean free path is independent of density
D. Mean free path is proportional to the square of density

Solution

The mean free path is inversely proportional to the density of gas molecules. As density increases, the mean free path decreases due to more frequent collisions.

Correct Answer: B — Mean free path decreases with density

Q. What is the relationship between the mean free path and the diameter of gas molecules?

A. Mean free path is independent of diameter
B. Mean free path is directly proportional to diameter
C. Mean free path is inversely proportional to diameter
D. Mean free path is equal to diameter

Solution

The mean free path is inversely proportional to the diameter of gas molecules; as the diameter increases, the mean free path decreases.

Correct Answer: C — Mean free path is inversely proportional to diameter

Q. What is the relationship between the molality of a solution and its boiling point elevation?

A. Directly proportional
B. Inversely proportional
C. No relationship
D. Exponential relationship

Solution

Boiling point elevation is directly proportional to the molality of the solution.

Correct Answer: A — Directly proportional

Q. What is the relationship between the number of emitted electrons and the intensity of light in the photoelectric effect?

A. Directly proportional
B. Inversely proportional
C. No relationship
D. Exponential relationship

Solution

The number of emitted electrons is directly proportional to the intensity of light, provided the frequency is above the threshold frequency.

Correct Answer: A — Directly proportional

Q. What is the relationship between the number of slits in a diffraction grating and the sharpness of the maxima?

A. More slits, sharper maxima
B. More slits, broader maxima
C. No relationship
D. Fewer slits, sharper maxima

Solution

Increasing the number of slits in a diffraction grating results in sharper maxima due to increased constructive interference.

Correct Answer: A — More slits, sharper maxima

Q. What is the relationship between the number of turns in the primary and secondary coils of a transformer and the voltages across them? (2023)

A. V_p/V_s = N_p/N_s
B. V_p/V_s = N_s/N_p
C. V_p = V_s
D. V_p + V_s = 0

Solution

The relationship is given by V_p/V_s = N_p/N_s, where V is voltage and N is the number of turns.

Correct Answer: A — V_p/V_s = N_p/N_s

Q. What is the relationship between the orbital radius and the period of a satellite in a circular orbit?

A. T is directly proportional to r
B. T is inversely proportional to r
C. T is proportional to r^2
D. T is proportional to √r

Solution

The period T of a satellite is proportional to the square root of the orbital radius r (T ∝ √r).

Correct Answer: D — T is proportional to √r

Q. What is the relationship between the orbital radius and the time period of a satellite?

A. T ∝ r^2
B. T ∝ r^3/2
C. T ∝ r
D. T ∝ r^1/2

Solution

The time period T of a satellite is related to the orbital radius r by T ∝ r^(3/2), according to Kepler's third law.

Correct Answer: B — T ∝ r^3/2

Q. What is the relationship between the paragraphs in the passage?

A. They present conflicting viewpoints.
B. They build upon each other to develop a single argument.
C. They are unrelated and stand alone.
D. They summarize different case studies.

Solution

The paragraphs build upon each other to develop a single argument regarding the role of technology in education.

Correct Answer: B — They build upon each other to develop a single argument.

Q. What is the relationship between the period and frequency of a simple harmonic oscillator?

A. T = f
B. T = 1/f
C. T = f^2
D. T = 2f

Solution

The period (T) is the reciprocal of frequency (f), so T = 1/f.

Correct Answer: B — T = 1/f

Q. What is the relationship between the period of a satellite and its orbital radius?

A. T is directly proportional to r
B. T is inversely proportional to r
C. T is proportional to r^2
D. T is proportional to √r

Solution

The period T of a satellite is proportional to the square root of the orbital radius r, as given by T = 2π√(r^3/GM).

Correct Answer: D — T is proportional to √r

Q. What is the relationship between the period of a simple harmonic oscillator and its mass and spring constant?

A. T = 2π√(m/k)
B. T = 2π√(k/m)
C. T = m/k
D. T = k/m

Solution

The period T of a mass-spring system is given by T = 2π√(m/k).

Correct Answer: A — T = 2π√(m/k)

Q. What is the relationship between the potential energy and kinetic energy in simple harmonic motion at maximum displacement?

A. PE = KE
B. PE > KE
C. PE < KE
D. PE = 0

Solution

At maximum displacement, all energy is potential energy (PE), and kinetic energy (KE) is zero.

Correct Answer: B — PE > KE

Q. What is the relationship between the pressure and volume of a gas at constant temperature according to the kinetic theory?

A. Pressure is directly proportional to volume.
B. Pressure is inversely proportional to volume.
C. Pressure is independent of volume.
D. Pressure is proportional to the square of the volume.

Solution

According to Boyle's Law, which is derived from the kinetic theory, pressure is inversely proportional to volume at constant temperature.

Correct Answer: B — Pressure is inversely proportional to volume.

Q. What is the relationship between the pressure and volume of an ideal gas at constant temperature?

A. Directly proportional
B. Inversely proportional
C. Independent
D. Exponential

Solution

According to Boyle's law, the pressure and volume of an ideal gas at constant temperature are inversely proportional (PV = constant).

Correct Answer: B — Inversely proportional

Q. What is the relationship between the principal quantum number (n) and the energy of an electron in a hydrogen atom?

A. Energy increases with increasing n
B. Energy decreases with increasing n
C. Energy is independent of n
D. Energy is maximum at n=1

Solution

In a hydrogen atom, the energy of an electron increases with increasing principal quantum number (n).

Correct Answer: A — Energy increases with increasing n

Q. What is the relationship between the radius and the area of a circle? (2022)

A. Area is directly proportional to the radius.
B. Area is inversely proportional to the radius.
C. Area is proportional to the square of the radius.
D. Area is independent of the radius.

Solution

The area of a circle is given by A = πr², indicating that area is proportional to the square of the radius.

Correct Answer: C — Area is proportional to the square of the radius.

Q. What is the relationship between the radius and the chord length in a circle?

A. Chords are always longer than the radius.
B. Chords can be equal to the radius.
C. Chords can be shorter than the radius.
D. All of the above.

Solution

Chords can vary in length and can be longer, equal to, or shorter than the radius.

Correct Answer: D — All of the above.

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