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!
Q. What is the formula for calculating the induced EMF in a coil? (2023)
A.
E = -dΦ/dt
B.
E = R * I
C.
E = V * I
D.
E = L * di/dt
Show solution
Solution
The induced EMF in a coil is given by the formula E = -dΦ/dt, where Φ is the magnetic flux.
Correct Answer:
A
— E = -dΦ/dt
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Q. What is the formula for calculating the number of atoms in a face-centered cubic unit cell? (2022)
A.
N = 4
B.
N = 2
C.
N = 1
D.
N = 8
Show solution
Solution
In a face-centered cubic unit cell, there are 4 atoms (1/8 from each of the 8 corners and 1/2 from each of the 6 faces).
Correct Answer:
A
— N = 4
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Q. What is the formula for calculating the number of moles from mass and molar mass? (2023)
A.
moles = mass × molar mass
B.
moles = mass / molar mass
C.
moles = molar mass / mass
D.
moles = mass + molar mass
Show solution
Solution
The correct formula is moles = mass / molar mass.
Correct Answer:
B
— moles = mass / molar mass
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Q. What is the formula for calculating the number of moles from mass? (2023)
A.
moles = mass / molar mass
B.
moles = mass × molar mass
C.
moles = mass + molar mass
D.
moles = mass - molar mass
Show solution
Solution
The formula for calculating the number of moles is moles = mass / molar mass.
Correct Answer:
A
— moles = mass / molar mass
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Q. What is the formula for calculating the number of moles of solute in a solution? (2023)
A.
Molarity x Volume
B.
Molarity / Volume
C.
Volume / Molarity
D.
Moles x Volume
Show solution
Solution
Number of moles = Molarity x Volume (in liters).
Correct Answer:
A
— Molarity x Volume
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Q. What is the formula for calculating the number of moles? (2023) 2023
A.
Mass/Volume
B.
Mass/Molar Mass
C.
Volume/Mass
D.
Molar Mass/Volume
Show solution
Solution
The number of moles is calculated using the formula: Moles = Mass / Molar Mass.
Correct Answer:
B
— Mass/Molar Mass
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Q. What is the formula for calculating the total current in a parallel RLC circuit? (2023)
A.
I = V/R
B.
I = V/(1/R + 1/X)
C.
I = V/(R + X)
D.
I = V/R + V/X
Show solution
Solution
In a parallel RLC circuit, the total current is calculated using I = V/(1/R + 1/X), where X is the total reactance.
Correct Answer:
B
— I = V/(1/R + 1/X)
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Q. What is the formula for calculating work done? (2023)
A.
W = Fd cos(θ)
B.
W = Fd sin(θ)
C.
W = F + d
D.
W = F/d
Show solution
Solution
The formula for work done (W) is W = Fd cos(θ), where F is the force, d is the displacement, and θ is the angle between the force and displacement.
Correct Answer:
A
— W = Fd cos(θ)
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Q. What is the formula for kinetic energy? (2023)
A.
KE = mv²
B.
KE = 1/2 mv²
C.
KE = mgh
D.
KE = Fd
Show solution
Solution
The formula for kinetic energy (KE) is KE = 1/2 mv², where m is mass and v is velocity.
Correct Answer:
B
— KE = 1/2 mv²
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Q. What is the formula for the average power consumed in an AC circuit with a phase angle φ? (2020)
A.
P = VI
B.
P = VI cos(φ)
C.
P = VI sin(φ)
D.
P = V²/R
Show solution
Solution
The average power P in an AC circuit is given by P = VI cos(φ), where φ is the phase angle.
Correct Answer:
B
— P = VI cos(φ)
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Q. What is the formula for the average power consumed in an AC circuit with a resistor? (2019)
A.
P = VI
B.
P = V²/R
C.
P = I²R
D.
All of the above
Show solution
Solution
The average power consumed in an AC circuit can be expressed as P = VI, P = V²/R, and P = I²R.
Correct Answer:
D
— All of the above
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Q. What is the formula for the complex formed between iron(III) and thiocyanate? (2021)
A.
[Fe(SCN)3]
B.
[Fe(SCN)2]
C.
[Fe(SCN)6]3+
D.
[Fe(SCN)4]2-
Show solution
Solution
The complex formed is [Fe(SCN)3] as iron(III) can bond with three thiocyanate ions.
Correct Answer:
A
— [Fe(SCN)3]
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Q. What is the formula for the inductive reactance (X_L) in an AC circuit? (2022)
A.
X_L = 2πfL
B.
X_L = R/L
C.
X_L = 1/(2πfC)
D.
X_L = V/I
Show solution
Solution
The formula for inductive reactance is X_L = 2πfL, where f is the frequency and L is the inductance.
Correct Answer:
A
— X_L = 2πfL
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Q. What is the formula for the magnetic field at the center of a circular loop of radius r carrying a current I? (2023)
A.
B = μ₀I/2r
B.
B = μ₀I/r
C.
B = μ₀I/4r
D.
B = μ₀I/πr
Show solution
Solution
The magnetic field (B) at the center of a circular loop is given by B = μ₀I/2r.
Correct Answer:
A
— B = μ₀I/2r
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Q. What is the formula for the resonant frequency of an RLC circuit? (2021)
A.
f = 1/(2π√(LC))
B.
f = R/(2πL)
C.
f = 1/(2πRC)
D.
f = 2π√(LC)
Show solution
Solution
The resonant frequency f of an RLC circuit is given by f = 1/(2π√(LC)).
Correct Answer:
A
— f = 1/(2π√(LC))
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Q. What is the formula for the total impedance in a parallel RLC circuit? (2023)
A.
1/Z = 1/Z1 + 1/Z2 + 1/Z3
B.
Z = R + jX
C.
Z = R
D.
.
X
.
Z = R + jωL - j/(ωC)
Show solution
Solution
The total impedance in a parallel circuit is given by 1/Z = 1/Z1 + 1/Z2 + 1/Z3.
Correct Answer:
A
— 1/Z = 1/Z1 + 1/Z2 + 1/Z3
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Q. What is the formula for the total impedance in a series RLC circuit? (2023)
A.
Z = R + j(XL - XC)
B.
Z = R + jXL + jXC
C.
Z = R + jωL
D.
Z = R + jωC
Show solution
Solution
The total impedance in a series RLC circuit is given by Z = R + j(XL - XC).
Correct Answer:
A
— Z = R + j(XL - XC)
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Q. What is the freezing point depression of a solution containing 1 mol of NaCl in 1 kg of water? (Kf for water = 1.86 °C kg/mol) (2023)
A.
1.86 °C
B.
3.72 °C
C.
2.00 °C
D.
0.93 °C
Show solution
Solution
Freezing point depression (ΔTf) = i * Kf * m. For NaCl, i = 2 (dissociates into Na+ and Cl-). m = 1 mol/kg. ΔTf = 2 * 1.86 °C kg/mol * 1 = 3.72 °C.
Correct Answer:
B
— 3.72 °C
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Q. What is the freezing point depression of a solution containing 1 mole of NaCl in 1 kg of water? (2022)
A.
1.86 °C
B.
3.72 °C
C.
2.52 °C
D.
0.93 °C
Show solution
Solution
Freezing point depression = i * Kf * m = 2 * 1.86 * 1 = 3.72 °C (i = 2 for NaCl).
Correct Answer:
A
— 1.86 °C
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Q. What is the freezing point depression of a solution containing 1 mole of solute in 1 kg of water? (Kf for water = 1.86 °C kg/mol) (2020)
A.
1.86 °C
B.
3.72 °C
C.
0.93 °C
D.
2.78 °C
Show solution
Solution
Freezing point depression = Kf * m = 1.86 °C kg/mol * 1 mol/kg = 1.86 °C.
Correct Answer:
A
— 1.86 °C
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Q. What is the freezing point depression of a solution containing 3 moles of KCl in 1 kg of water? (Kf for water = 1.86 °C kg/mol) (2022)
A.
5.58 °C
B.
3.72 °C
C.
1.86 °C
D.
7.44 °C
Show solution
Solution
Freezing point depression = i * Kf * m = 3 * 1.86 * 3 = 5.58 °C (i = 2 for KCl).
Correct Answer:
A
— 5.58 °C
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Q. What is the frequency of a pendulum that completes 30 oscillations in 60 seconds? (2017)
A.
0.5 Hz
B.
1 Hz
C.
2 Hz
D.
3 Hz
Show solution
Solution
Frequency f = number of oscillations / time = 30 / 60 = 0.5 Hz.
Correct Answer:
B
— 1 Hz
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Q. What is the frequency of a sound wave with a period of 0.01 seconds? (2014)
A.
100 Hz
B.
200 Hz
C.
50 Hz
D.
10 Hz
Show solution
Solution
Frequency = 1/Period = 1/0.01 s = 100 Hz.
Correct Answer:
A
— 100 Hz
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Q. What is the frequency of a tuning fork that vibrates 256 times in 2 seconds? (2019)
A.
128 Hz
B.
256 Hz
C.
512 Hz
D.
64 Hz
Show solution
Solution
Frequency (f) = Number of vibrations / Time = 256 / 2 = 128 Hz.
Correct Answer:
A
— 128 Hz
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Q. What is the frequency of a wave if its wavelength is 2 meters and its speed is 340 m/s? (2021)
A.
170 Hz
B.
340 Hz
C.
68 Hz
D.
85 Hz
Show solution
Solution
Frequency (f) can be calculated using the formula f = v/λ. Here, f = 340 m/s / 2 m = 170 Hz.
Correct Answer:
A
— 170 Hz
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Q. What is the frequency of a wave if its wavelength is 2 meters and the speed of the wave is 340 m/s? (2020)
A.
170 Hz
B.
340 Hz
C.
85 Hz
D.
420 Hz
Show solution
Solution
Frequency (f) can be calculated using the formula f = v/λ. Here, f = 340 m/s / 2 m = 170 Hz.
Correct Answer:
A
— 170 Hz
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Q. What is the frequency of a wave if its wavelength is 2 meters and the speed of the wave is 10 m/s? (2022)
A.
2 Hz
B.
5 Hz
C.
10 Hz
D.
20 Hz
Show solution
Solution
Frequency (f) can be calculated using the formula f = v/λ. Here, f = 10 m/s / 2 m = 5 Hz.
Correct Answer:
B
— 5 Hz
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Q. What is the frequency of a wave with a period of 0.01 s? (2020)
A.
100 Hz
B.
50 Hz
C.
200 Hz
D.
10 Hz
Show solution
Solution
Frequency f = 1/T = 1/0.01 s = 100 Hz.
Correct Answer:
A
— 100 Hz
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Q. What is the frequency of a wave with a period of 0.1 s? (2020)
A.
10 Hz
B.
5 Hz
C.
20 Hz
D.
15 Hz
Show solution
Solution
Frequency f = 1/T = 1/0.1 s = 10 Hz.
Correct Answer:
A
— 10 Hz
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Q. What is the frequency of a wave with a period of 0.2 seconds?
A.
5 Hz
B.
10 Hz
C.
20 Hz
D.
50 Hz
Show solution
Solution
Frequency (f) is the reciprocal of the period (T). Therefore, f = 1/T = 1/0.2 s = 5 Hz.
Correct Answer:
B
— 10 Hz
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