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 group number of Alkali metals in the periodic table? (2023)
Show solution
Solution
Alkali metals are located in group 1 of the periodic table.
Correct Answer:
A
— 1
Learn More →
Q. What is the group number of Halogens in the periodic table? (2021)
Show solution
Solution
Halogens are located in group 17 of the periodic table.
Correct Answer:
B
— 17
Learn More →
Q. What is the heat required to raise the temperature of 2 kg of aluminum from 25°C to 75°C? (Specific heat of aluminum = 0.9 J/g°C) (2022)
A.
9000 J
B.
18000 J
C.
36000 J
D.
4500 J
Show solution
Solution
Heat required Q = mcΔT = (2000 g)(0.9 J/g°C)(50°C) = 90000 J.
Correct Answer:
B
— 18000 J
Learn More →
Q. What is the hybridization of the central atom in [Ni(CO)4]? (2022)
A.
sp
B.
sp2
C.
sp3
D.
d2sp3
Show solution
Solution
In [Ni(CO)4], the nickel atom undergoes sp3 hybridization to accommodate four CO ligands.
Correct Answer:
C
— sp3
Learn More →
Q. What is the hybridization of the central metal ion in [Cr(NH3)6]3+? (2020) 2020
A.
sp
B.
sp2
C.
d2sp3
D.
dsp2
Show solution
Solution
In [Cr(NH3)6]3+, the hybridization is d2sp3 due to the octahedral arrangement of six ligands.
Correct Answer:
C
— d2sp3
Learn More →
Q. What is the hybridization of the nitrogen atom in amines? (2020)
A.
sp
B.
sp2
C.
sp3
D.
sp3d
Show solution
Solution
The nitrogen atom in amines is sp3 hybridized, as it forms three sigma bonds and has one lone pair.
Correct Answer:
C
— sp3
Learn More →
Q. What is the hydrostatic pressure at a depth of 10 meters in water? (Density of water = 1000 kg/m³, g = 9.81 m/s²) (2022)
A.
9810 Pa
B.
10000 Pa
C.
98100 Pa
D.
1000 Pa
Show solution
Solution
Hydrostatic pressure is given by P = ρgh. Thus, P = 1000 kg/m³ * 9.81 m/s² * 10 m = 98100 Pa.
Correct Answer:
C
— 98100 Pa
Learn More →
Q. What is the image distance for an object placed 30 cm in front of a convex lens with a focal length of 10 cm? (2022)
A.
15 cm
B.
20 cm
C.
25 cm
D.
30 cm
Show solution
Solution
Using the lens formula 1/f = 1/v - 1/u, we have 1/10 = 1/v - 1/(-30). Solving gives v = 15 cm.
Correct Answer:
C
— 25 cm
Learn More →
Q. What is the impedance of a circuit with a resistance of 4 ohms and a reactance of 3 ohms? (2021)
A.
5 ohms
B.
7 ohms
C.
1 ohm
D.
12 ohms
Show solution
Solution
Impedance Z = √(R² + X²) = √(4² + 3²) = √(16 + 9) = √25 = 5 ohms.
Correct Answer:
A
— 5 ohms
Learn More →
Q. What is the impedance of a circuit with a resistance of 4Ω and a reactance of 3Ω? (2020)
Show solution
Solution
Impedance Z = √(R² + X²) = √(4² + 3²) = √(16 + 9) = √25 = 5Ω.
Correct Answer:
A
— 5Ω
Learn More →
Q. What is the impedance of a circuit with a resistor of 10Ω and an inductor of 0.1H at a frequency of 50Hz? (2022)
A.
10Ω
B.
15.71Ω
C.
20Ω
D.
25Ω
Show solution
Solution
Impedance Z = √(R² + (XL)²), where XL = 2πfL = 31.42Ω. Thus, Z = √(10² + 31.42²) = 15.71Ω.
Correct Answer:
B
— 15.71Ω
Learn More →
Q. What is the impedance of a circuit with a resistor of 10Ω and an inductor of 0.1 H at a frequency of 50 Hz? (2022)
A.
10Ω
B.
15.71Ω
C.
20Ω
D.
5Ω
Show solution
Solution
Impedance Z = √(R² + (XL)²), where XL = 2πfL = 31.42Ω. Thus, Z = √(10² + 31.42²) = 15.71Ω.
Correct Answer:
B
— 15.71Ω
Learn More →
Q. What is the impedance of a circuit with a resistor of 4Ω and a capacitor of 2μF at a frequency of 50Hz? (2020)
Show solution
Solution
Impedance Z = √(R² + (1/(ωC))²) where ω = 2πf. Here, R = 4Ω, C = 2μF, f = 50Hz. Calculate Z.
Correct Answer:
C
— 6Ω
Learn More →
Q. What is the impedance of a circuit with a resistor of 4Ω and an inductor of 3Ω at resonance? (2022)
Show solution
Solution
At resonance, the impedance is equal to the resistance, which is 4Ω.
Correct Answer:
C
— 4Ω
Learn More →
Q. What is the impedance of a series circuit containing a resistor (R) and an inductor (L) at a frequency (f)? (2020)
A.
R
B.
√(R² + (2πfL)²)
C.
R + 2πfL
D.
R - 2πfL
Show solution
Solution
The impedance Z in a series RL circuit is given by Z = √(R² + (2πfL)²).
Correct Answer:
B
— √(R² + (2πfL)²)
Learn More →
Q. What is the impedance of a series circuit containing a resistor (R) and an inductor (L) at angular frequency ω? (2020)
A.
R
B.
√(R² + (ωL)²)
C.
R + jωL
D.
R + L
Show solution
Solution
The impedance Z in a series R-L circuit is given by Z = √(R² + (ωL)²).
Correct Answer:
B
— √(R² + (ωL)²)
Learn More →
Q. What is the impedance of a series circuit with a resistor of 4Ω and an inductor of 3Ω at resonance? (2020)
Show solution
Solution
At resonance, the impedance is equal to the resistance, which is 4Ω.
Correct Answer:
C
— 4Ω
Learn More →
Q. What is the integral of 1/x with respect to x? (2022)
A.
ln
B.
x
C.
+ C
D.
1/x + C
.
x + C
.
e^x + C
Show solution
Solution
The integral of 1/x is ln|x| + C.
Correct Answer:
A
— ln
Learn More →
Q. What is the integral of 1/x? (2022)
A.
ln
B.
x
C.
+ C
D.
1/x + C
.
x + C
.
x^2 + C
Show solution
Solution
The integral of 1/x is ln|x| + C.
Correct Answer:
A
— ln
Learn More →
Q. What is the integral of cos(2x) dx? (2021)
A.
(1/2)sin(2x) + C
B.
sin(2x) + C
C.
(1/2)cos(2x) + C
D.
2sin(2x) + C
Show solution
Solution
The integral of cos(2x) is (1/2)sin(2x) + C.
Correct Answer:
A
— (1/2)sin(2x) + C
Learn More →
Q. What is the integral of e^x with respect to x? (2023)
A.
e^x + C
B.
xe^x + C
C.
e^x/x + C
D.
x^2e^x + C
Show solution
Solution
The integral of e^x is e^x + C.
Correct Answer:
A
— e^x + C
Learn More →
Q. What is the integral of e^x? (2023)
A.
e^x + C
B.
xe^x + C
C.
e^x/x + C
D.
x^2e^x + C
Show solution
Solution
The integral of e^x is e^x + C.
Correct Answer:
A
— e^x + C
Learn More →
Q. What is the integral of sin(x) dx? (2021)
A.
-cos(x) + C
B.
cos(x) + C
C.
sin(x) + C
D.
-sin(x) + C
Show solution
Solution
The integral of sin(x) is -cos(x) + C.
Correct Answer:
A
— -cos(x) + C
Learn More →
Q. What is the integral of tan(x) dx? (2023)
A.
-ln
B.
cos(x)
C.
+ C
D.
ln
.
sin(x)
.
+ C
.
ln
.
tan(x)
.
+ C
.
-ln
.
sin(x)
.
+ C
Show solution
Solution
The integral of tan(x) is -ln|cos(x)| + C.
Correct Answer:
A
— -ln
Learn More →
Q. What is the integral of tan(x) with respect to x? (2021)
A.
-ln
B.
cos(x)
C.
+ C
D.
ln
.
sin(x)
.
+ C
.
ln
.
tan(x)
.
+ C
.
-ln
.
sin(x)
.
+ C
Show solution
Solution
The integral of tan(x) is -ln|cos(x)| + C.
Correct Answer:
A
— -ln
Learn More →
Q. What is the integral of tan(x)? (2021)
A.
-ln
B.
cos(x)
C.
+ C
D.
ln
.
sin(x)
.
+ C
.
ln
.
tan(x)
.
+ C
.
-ln
.
sin(x)
.
+ C
Show solution
Solution
The integral of tan(x) is -ln|cos(x)| + C.
Correct Answer:
A
— -ln
Learn More →
Q. What is the integral of x^2 with respect to x? (2021)
A.
(1/3)x^3 + C
B.
(1/2)x^2 + C
C.
(1/4)x^4 + C
D.
(1/5)x^5 + C
Show solution
Solution
The integral of x^n is (1/(n+1))x^(n+1) + C. Here, n=2, so the integral is (1/3)x^3 + C.
Correct Answer:
A
— (1/3)x^3 + C
Learn More →
Q. What is the integral of x^3 + 2x? (2021)
A.
(1/4)x^4 + x^2 + C
B.
(1/3)x^3 + x^2 + C
C.
(1/4)x^4 + (1/2)x^2 + C
D.
(1/5)x^5 + (1/2)x^2 + C
Show solution
Solution
Integrating term by term, ∫x^3dx = (1/4)x^4 and ∫2xdx = x^2. Thus, ∫(x^3 + 2x)dx = (1/4)x^4 + (1/2)x^2 + C.
Correct Answer:
C
— (1/4)x^4 + (1/2)x^2 + C
Learn More →
Q. What is the integral of x^n where n ≠ -1? (2021)
A.
(1/n)x^(n+1) + C
B.
(1/(n+1))x^n + C
C.
(1/(n+1))x^(n+1) + C
D.
nx^(n-1) + C
Show solution
Solution
The integral of x^n is (1/(n+1))x^(n+1) + C, provided n ≠ -1.
Correct Answer:
C
— (1/(n+1))x^(n+1) + C
Learn More →
Q. What is the integrating factor for the equation dy/dx + (1/x)y = 2?
A.
x
B.
e^(ln(x))
C.
e^(ln(x^2))
D.
1/x
Show solution
Solution
The integrating factor is e^(∫(1/x)dx) = e^(ln(x)) = x.
Correct Answer:
C
— e^(ln(x^2))
Learn More →
Showing 2731 to 2760 of 5514 (184 Pages)
