Undergraduate Exam Prep Resources for Competitive Exams

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Undergraduate MCQ & Objective Questions

The undergraduate level is a crucial phase in a student's academic journey, especially for those preparing for school and competitive exams. Mastering this stage can significantly enhance your understanding and retention of key concepts. Practicing MCQs and objective questions is essential, as it not only helps in reinforcing knowledge but also boosts your confidence in tackling important questions during exams.

What You Will Practise Here

Fundamental concepts in Mathematics and Science
Key definitions and theories across various subjects
Important formulas and their applications
Diagrams and graphical representations
Critical thinking and problem-solving techniques
Subject-specific MCQs designed for competitive exams
Revision of essential topics for better retention

Exam Relevance

Undergraduate topics are integral to various examinations such as CBSE, State Boards, NEET, and JEE. These subjects often feature a mix of conceptual and application-based questions. Common patterns include multiple-choice questions that assess both theoretical knowledge and practical application, making it vital for students to be well-versed in undergraduate concepts.

Common Mistakes Students Make

Overlooking the importance of understanding concepts rather than rote memorization
Misinterpreting questions due to lack of careful reading
Neglecting to practice numerical problems that require application of formulas
Failing to review mistakes made in previous practice tests

FAQs

Question: What are some effective strategies for solving undergraduate MCQ questions?
Answer: Focus on understanding the concepts, practice regularly, and review your answers to learn from mistakes.

Question: How can I improve my speed in answering objective questions?
Answer: Time yourself while practicing and gradually increase the number of questions you attempt in a set time.

Start your journey towards mastering undergraduate subjects today! Solve practice MCQs and test your understanding to ensure you are well-prepared for your exams. Your success is just a question away!

Engineering Entrance Medical Entrance

Q. What is the bond angle in water (H2O) due to the presence of lone pairs on oxygen? (2019)

A. 104.5°
B. 109.5°
C. 120°
D. 90°

Solution

The bond angle in water is approximately 104.5° due to the repulsion between the lone pairs on the oxygen atom.

Correct Answer: A — 104.5°

Q. What is the bulk modulus of a material if a pressure increase of 1000 kPa causes a volume decrease of 0.01 m³ in a 1 m³ sample? (2022)

A. 10000 kPa
B. 1000 kPa
C. 100 kPa
D. 100 kPa

Solution

Bulk modulus (K) = -ΔP / (ΔV/V) = 1000 kPa / (0.01 m³ / 1 m³) = 100000 kPa = 10000 kPa.

Correct Answer: A — 10000 kPa

Q. What is the bulk modulus of a material if a pressure increase of 1000 kPa results in a volume decrease of 0.5%? (2022)

A. 200000 kPa
B. 500000 kPa
C. 1000000 kPa
D. 250000 kPa

Solution

Bulk modulus (K) = -ΔP / (ΔV/V) = 1000 kPa / 0.005 = 200000 kPa.

Correct Answer: B — 500000 kPa

Q. What is the bulk modulus of a material if a pressure increase of 1000 kPa results in a volume decrease of 0.01 m³ for a volume of 1 m³? (2022)

A. 10000 kPa
B. 1000 kPa
C. 100 kPa
D. 100000 kPa

Solution

Bulk modulus (K) = -ΔP / (ΔV/V) = 1000 kPa / (0.01 m³ / 1 m³) = 100000 kPa.

Correct Answer: A — 10000 kPa

Q. What is the bulk modulus of a material if a pressure increase of 50 MPa results in a volume decrease of 0.002 m³ for a volume of 1 m³? (2022)

A. 25 GPa
B. 50 GPa
C. 100 GPa
D. 200 GPa

Solution

Bulk modulus (K) = -ΔP / (ΔV/V) = -50 MPa / (-0.002 m³ / 1 m³) = 25000 MPa = 25 GPa.

Correct Answer: B — 50 GPa

Q. What is the bulk modulus of a material if a pressure increase of 50 MPa results in a volume decrease of 0.02 m³ for a volume of 1 m³? (2022)

A. 2500 MPa
B. 500 MPa
C. 1000 MPa
D. 2000 MPa

Solution

Bulk modulus (K) = -ΔP / (ΔV/V) = 50 MPa / (0.02 m³ / 1 m³) = 2500 MPa.

Correct Answer: A — 2500 MPa

Q. What is the capacitance of a capacitor if it stores 6μC of charge at a potential difference of 3V? (2022)

A. 2μF
B. 3μF
C. 4μF
D. 5μF

Solution

Using the formula C = Q/V, we have C = 6μC / 3V = 2μF.

Correct Answer: A — 2μF

Q. What is the capacitance of a capacitor that stores 10 µC of charge at a potential difference of 5 V?

A. 2 µF
B. 5 µF
C. 10 µF
D. 20 µF

Solution

C = Q/V = 10 × 10^-6 C / 5 V = 2 × 10^-6 F = 2 µF.

Correct Answer: A — 2 µF

Q. What is the capacitance of a spherical capacitor with inner radius a and outer radius b? (2023)

A. 4πε₀ab/(b-a)
B. 4πε₀/(1/a - 1/b)
C. 4πε₀/(a+b)
D. 4πε₀/(b-a)

Solution

The capacitance of a spherical capacitor is given by C = 4πε₀ab/(b-a).

Correct Answer: A — 4πε₀ab/(b-a)

Q. What is the capacitive reactance of a capacitor of 10μF at a frequency of 60 Hz? (2016)

A. 265.26Ω
B. 159.15Ω
C. 100Ω
D. 50Ω

Solution

Capacitive reactance Xc = 1 / (2πfC) = 1 / (2π * 60 * 10e-6) = 265.26Ω.

Correct Answer: A — 265.26Ω

Q. What is the capacitive reactance of a capacitor with a capacitance of 10μF at a frequency of 50Hz? (2020)

A. 318.31 ohms
B. 159.15 ohms
C. 31.83 ohms
D. 15.92 ohms

Solution

Xc = 1 / (2πfC) = 1 / (2π × 50 × 10 × 10^-6) = 318.31 ohms.

Correct Answer: A — 318.31 ohms

Q. What is the cell potential of a Daniell cell at standard conditions?

A. 1.10 V
B. 1.96 V
C. 0.76 V
D. 0.34 V

Solution

The standard cell potential of a Daniell cell is 1.10 V.

Correct Answer: A — 1.10 V

Q. What is the cell potential of a galvanic cell with E° = 1.5 V and Q = 10?

A. 1.2 V
B. 1.0 V
C. 1.3 V
D. 1.4 V

Solution

Using the Nernst equation, E = E° - (RT/nF)lnQ, we find E ≈ 1.0 V.

Correct Answer: B — 1.0 V

Q. What is the change in entropy when 1 kg of water at 100°C is converted to steam at 100°C? (Latent heat of vaporization = 2260 kJ/kg) (2021)

A. 2260 J/K
B. 2260 kJ/K
C. 0 J/K
D. 1130 J/K

Solution

ΔS = Q/T = 2260 kJ / 373 K = 6.06 kJ/K.

Correct Answer: A — 2260 J/K

Q. What is the change in internal energy (ΔU) for an ideal gas during an isothermal process? (2021)

A. ΔU = 0
B. ΔU = nRT
C. ΔU = -nRT
D. ΔU = PV

Solution

In an isothermal process for an ideal gas, the temperature remains constant, which means the internal energy does not change. Therefore, ΔU = 0.

Correct Answer: A — ΔU = 0

Q. What is the change in internal energy (ΔU) for an ideal gas that expands isothermally? (2022)

A. 0
B. nRT
C. nRΔT
D. PV

Solution

For an isothermal process, the change in internal energy ΔU = 0 for an ideal gas.

Correct Answer: A — 0

Q. What is the change in internal energy (ΔU) for an ideal gas undergoing an isothermal process? (2021)

A. ΔU = 0
B. ΔU = Q
C. ΔU = W
D. ΔU = Q + W

Solution

In an isothermal process for an ideal gas, the temperature remains constant, which means the internal energy does not change. Therefore, ΔU = 0.

Correct Answer: A — ΔU = 0

Q. What is the change in internal energy (ΔU) for an isothermal process for an ideal gas? (2021)

A. ΔU = 0
B. ΔU = nRT
C. ΔU = -nRT
D. ΔU = PV

Solution

In an isothermal process for an ideal gas, the temperature remains constant, which means the internal energy does not change. Therefore, ΔU = 0.

Correct Answer: A — ΔU = 0

Q. What is the change in internal energy (ΔU) for an isothermal process of an ideal gas? (2021)

A. ΔU = 0
B. ΔU = nRT
C. ΔU = -nRT
D. ΔU = PV

Solution

In an isothermal process for an ideal gas, the temperature remains constant, which means the internal energy does not change. Therefore, ΔU = 0.

Correct Answer: A — ΔU = 0

Q. What is the change in internal energy for an ideal gas that expands isothermally? (2019)

A. nRT
B. 0
C. -nRT
D. nR(Tf - Ti)

Solution

For an isothermal process, the change in internal energy (ΔU) for an ideal gas is zero, as ΔU depends only on temperature.

Correct Answer: B — 0

Q. What is the change in internal energy of 1 mole of an ideal gas when it is heated at constant volume from 300 K to 600 K?

A. 0 J
B. 300 J
C. 600 J
D. 900 J

Solution

ΔU = nCvΔT. For a monatomic gas, Cv = (3/2)R. ΔU = 1 * (3/2)(8.31 J/mol K)(600 - 300) = 900 J.

Correct Answer: D — 900 J

Q. What is the change in internal energy of a gas that absorbs 300 J of heat and does 100 J of work on the surroundings? (2020)

A. 200 J
B. 300 J
C. 400 J
D. 500 J

Solution

Change in internal energy (ΔU) = Q - W = 300 J - 100 J = 200 J.

Correct Answer: A — 200 J

Q. What is the change in internal energy of a system if 200 J of heat is added and 50 J of work is done by the system?

A. 150 J
B. 250 J
C. 200 J
D. 100 J

Solution

Using the first law of thermodynamics, ΔU = Q - W = 200 J - 50 J = 150 J.

Correct Answer: A — 150 J

Q. What is the change in internal energy of a system if 300 J of heat is added and 100 J of work is done by the system? (2021)

A. 200 J
B. 300 J
C. 400 J
D. 500 J

Solution

Using the first law of thermodynamics: ΔU = Q - W = 300 J - 100 J = 200 J.

Correct Answer: A — 200 J

Q. What is the change in internal energy of an ideal gas when it expands isothermally? (2021)

A. Zero
B. Positive
C. Negative
D. Depends on the gas

Solution

In an isothermal process for an ideal gas, the internal energy remains constant, hence the change in internal energy is zero.

Correct Answer: A — Zero

Q. What is the change in internal energy of an ideal gas when it is heated at constant volume? (2021) 2021

A. Zero
B. Equal to heat added
C. Equal to work done
D. Equal to pressure times volume

Solution

At constant volume, the change in internal energy (ΔU) is equal to the heat added (Q). Therefore, ΔU = Q.

Correct Answer: B — Equal to heat added

Q. What is the change in oxidation state of carbon in the reaction C6H12O6 → 2C2H5OH? (2023)

A. +1
B. 0
C. -1
D. -2

Solution

In the conversion of glucose to ethanol, the oxidation state of carbon decreases, indicating a reduction of -1.

Correct Answer: C — -1

Q. What is the change in oxidation state of manganese in the reaction MnO4- + 8H+ + 5e- → Mn2+ + 4H2O? (2023)

A. +7 to +2
B. +2 to +7
C. 0 to +2
D. +4 to +2

Solution

Manganese changes from +7 in MnO4- to +2 in Mn2+, indicating a reduction.

Correct Answer: A — +7 to +2

Q. What is the charge of a neutron? (2022)

A. Positive
B. Negative
C. Neutral
D. Depends on the isotope

Solution

A neutron has no charge; it is electrically neutral.

Correct Answer: C — Neutral

Q. What is the charge of a proton? (2023)

A. -1
B. 0
C. +1
D. +2

Solution

A proton carries a positive charge of +1 elementary charge.

Correct Answer: C — +1

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