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 frequency and the time period of an AC signal? (2023)

A. Frequency = Time period × 2
B. Frequency = 1 / Time period
C. Frequency = Time period / 2
D. Frequency = Time period × π

Solution

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

Correct Answer: B — Frequency = 1 / Time period

Q. What is the relationship between frequency and wavelength in a wave traveling at a constant speed?

A. Directly proportional
B. Inversely proportional
C. Independent
D. None of the above

Solution

Frequency and wavelength are inversely proportional when the speed of the wave is constant, as given by the equation v = fλ.

Correct Answer: B — Inversely proportional

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

A. Frequency is directly proportional to wavelength
B. Frequency is inversely proportional to wavelength
C. Frequency is independent of wavelength
D. Frequency equals wavelength

Solution

The relationship is given by the equation v = fλ, where v is the speed of the wave, f is the frequency, and λ is the wavelength. Thus, frequency is inversely proportional to wavelength.

Correct Answer: B — Frequency is inversely proportional to wavelength

Q. What is the relationship between Gibbs free energy (ΔG) and cell potential (E) in electrochemistry?

A. ΔG = -nFE
B. ΔG = nFE
C. ΔG = -E/nF
D. ΔG = E/nF

Solution

The relationship is ΔG = -nFE, where n is the number of moles of electrons transferred.

Correct Answer: A — ΔG = -nFE

Q. What is the relationship between Gibbs Free Energy and spontaneity?

A. ΔG < 0 indicates non-spontaneous reactions.
B. ΔG = 0 indicates spontaneous reactions.
C. ΔG > 0 indicates spontaneous reactions.
D. ΔG < 0 indicates spontaneous reactions.

Solution

A negative ΔG (< 0) indicates that a reaction is spontaneous under the given conditions.

Correct Answer: D — ΔG < 0 indicates spontaneous reactions.

Q. What is the relationship between Gibbs Free Energy and the equilibrium constant (K)?

A. ΔG = -RT ln(K)
B. ΔG = RT ln(K)
C. ΔG = KRT
D. ΔG = K - RT

Solution

The relationship is given by 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 gravitational field strength and gravitational potential?

A. Field strength is the gradient of potential.
B. Field strength is the integral of potential.
C. They are independent.
D. Field strength is the square of potential.

Solution

Gravitational field strength is the negative gradient of gravitational potential.

Correct Answer: A — Field strength is the gradient of potential.

Q. What is the relationship between gravitational potential and gravitational field strength?

A. V = -g * r
B. g = -dV/dr
C. V = g * r
D. g = dV/dr

Solution

The gravitational field strength g is the negative gradient of the gravitational potential V, given by g = -dV/dr.

Correct Answer: B — g = -dV/dr

Q. What is the relationship between heat capacity at constant pressure (Cp) and heat capacity at constant volume (Cv)?

A. Cp = Cv
B. Cp > Cv
C. Cp < Cv
D. Cp = Cv + R

Solution

For an ideal gas, Cp is always greater than Cv because it includes the work done against the atmospheric pressure.

Correct Answer: B — Cp > Cv

Q. What is the relationship between heat capacity at constant pressure (C_p) and at constant volume (C_v)?

A. C_p = C_v
B. C_p > C_v
C. C_p < C_v
D. C_p = 0

Solution

For an ideal gas, the heat capacity at constant pressure (C_p) is greater than the heat capacity at constant volume (C_v).

Correct Answer: B — C_p > C_v

Q. What is the relationship between heat capacity at constant pressure (C_p) and heat capacity at constant volume (C_v)?

A. C_p = C_v
B. C_p > C_v
C. C_p < C_v
D. C_p = 2C_v

Solution

For an ideal gas, C_p is always greater than C_v due to the work done during expansion.

Correct Answer: B — C_p > C_v

Q. What is the relationship between heat capacity at constant volume (Cv) and heat capacity at constant pressure (Cp) for an ideal gas?

A. Cp = Cv
B. Cp = Cv + R
C. Cp = Cv - R
D. Cp = 2Cv

Solution

For an ideal gas, the relationship is given by Cp = Cv + R, where R is the universal gas constant.

Correct Answer: B — Cp = Cv + R

Q. What is the relationship between heat capacity at constant volume (Cv) and heat capacity at constant pressure (Cp)?

A. Cp = Cv
B. Cp = Cv + R
C. Cp = Cv - R
D. Cp = 2Cv

Solution

The relationship is Cp = Cv + R for an ideal gas, where R is the gas constant.

Correct Answer: B — Cp = Cv + R

Q. What is the relationship between Joules and Newton-meters?

A. They are equal
B. Joule is greater
C. Newton-meter is greater
D. They are unrelated

Solution

1 Joule is defined as 1 Newton-meter, so they are equal.

Correct Answer: A — They are equal

Q. What is the relationship between Ka and Kb for a conjugate acid-base pair?

A. Ka + Kb = Kw
B. Ka * Kb = Kw
C. Ka - Kb = Kw
D. Ka / Kb = Kw

Solution

For a conjugate acid-base pair, the relationship is Ka * Kb = Kw, where Kw is the ion product of water.

Correct Answer: B — Ka * Kb = Kw

Q. What is the relationship between Kp and Kc for the reaction aA(g) + bB(g) ⇌ cC(g) + dD(g)?

A. Kp = Kc(RT)^(d+c-b-a)
B. Kp = Kc(RT)^(a+b-c-d)
C. Kp = Kc/(RT)^(d+c-b-a)
D. Kp = Kc/(RT)^(a+b-c-d)

Solution

The relationship between Kp and Kc is given by Kp = Kc(RT)^(Δn), where Δn = (d+c) - (a+b).

Correct Answer: A — Kp = Kc(RT)^(d+c-b-a)

Q. What is the relationship between linear velocity (v) and angular velocity (ω) for a point on a rotating object?

A. v = ωr
B. v = r/ω
C. v = ω/r
D. v = rω²

Solution

The relationship is given by v = ωr, where r is the radius of the rotation.

Correct Answer: A — v = ωr

Q. What is the relationship between magnetic field strength and distance from a long straight conductor? (2023)

A. Increases with distance
B. Decreases with distance
C. Remains constant
D. Increases then decreases

Solution

The magnetic field strength around a long straight conductor decreases with distance from the conductor, following the inverse relationship.

Correct Answer: B — Decreases with distance

Q. What is the relationship between mass and weight?

A. Weight = Mass × Acceleration due to gravity
B. Weight = Mass / Acceleration due to gravity
C. Weight = Mass + Acceleration due to gravity
D. Weight = Mass - Acceleration due to gravity

Solution

Weight is defined as the force due to gravity acting on a mass, given by the formula Weight = Mass × g (where g is the acceleration due to gravity).

Correct Answer: A — Weight = Mass × Acceleration due to gravity

Q. What is the relationship between pKa and Ka for a weak acid?

A. pKa = -log(Ka)
B. pKa = log(Ka)
C. pKa = Ka
D. pKa = 1/Ka

Solution

The relationship is given by the equation pKa = -log(Ka), where Ka is the acid dissociation constant.

Correct Answer: A — pKa = -log(Ka)

Q. What is the relationship between pKa and Ka for an acid?

A. pKa = -log(Ka)
B. pKa = log(Ka)
C. pKa = Ka
D. pKa = 1/Ka

Solution

The relationship is given by the formula pKa = -log(Ka), where Ka is the acid dissociation constant.

Correct Answer: A — pKa = -log(Ka)

Q. What is the relationship between pKa and Ka?

A. pKa = -log(Ka)
B. pKa = log(Ka)
C. pKa = Ka
D. pKa = 1/Ka

Solution

The relationship is given by pKa = -log(Ka), where Ka is the acid dissociation constant.

Correct Answer: A — pKa = -log(Ka)

Q. What is the relationship between power, force, and velocity?

A. P = F * v
B. P = F / v
C. P = F + v
D. P = F - v

Solution

Power is defined as the product of force and velocity in the direction of the force, given by P = F * v.

Correct Answer: A — P = F * v

Q. What is the relationship between power, voltage, and current in an electrical circuit?

A. P = V/I
B. P = VI
C. P = V + I
D. P = V - I

Solution

In an electrical circuit, power is given by the formula P = VI, where P is power, V is voltage, and I is current.

Correct Answer: B — P = VI

Q. What is the relationship between pressure and depth in a fluid at rest? (2019)

A. Pressure increases with depth
B. Pressure decreases with depth
C. Pressure remains constant
D. Pressure varies randomly

Solution

In a fluid at rest, pressure increases with depth due to the weight of the fluid above.

Correct Answer: A — Pressure increases with depth

Q. What is the relationship between pressure and depth in a fluid?

A. Pressure increases with depth
B. Pressure decreases with depth
C. Pressure remains constant
D. Pressure is independent of depth

Solution

In a fluid at rest, pressure increases with depth due to the weight of the fluid above.

Correct Answer: A — Pressure increases with depth

Q. What is the relationship between pressure and temperature for a fixed amount of gas at constant volume?

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

Solution

Pressure and temperature are directly proportional for a fixed amount of gas at constant volume, as described by Gay-Lussac's law.

Correct Answer: A — Directly proportional

Q. What is the relationship between pressure and temperature in Gay-Lussac's Law?

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

Solution

Gay-Lussac's Law states that pressure is directly proportional to temperature when volume is constant.

Correct Answer: A — Directly proportional

Q. What is the relationship between pressure and volume in Boyle's Law?

A. P ∝ V
B. PV = constant
C. P + V = constant
D. P/V = constant

Solution

Boyle's Law states that the pressure of a gas is inversely proportional to its volume at constant temperature, which can be expressed as PV = constant.

Correct Answer: B — PV = constant

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

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

Solution

According to Boyle's Law, pressure and volume of a gas are inversely proportional at constant temperature.

Correct Answer: B — Inversely proportional

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