Q. What is the bond angle in a methane (CH4) molecule? (2023) 2023
A.
90 degrees
B.
109.5 degrees
C.
120 degrees
D.
180 degrees
Show solution
Solution
The bond angle in methane (CH4) is approximately 109.5 degrees due to its tetrahedral geometry.
Correct Answer:
B
— 109.5 degrees
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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
Show solution
Solution
C = Q/V = 10 × 10^-6 C / 5 V = 2 × 10^-6 F = 2 µF.
Correct Answer:
A
— 2 µF
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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
Show solution
Solution
Capacitive reactance Xc = 1 / (2πfC) = 1 / (2π * 60 * 10e-6) = 265.26Ω.
Correct Answer:
A
— 265.26Ω
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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
Show solution
Solution
Xc = 1 / (2πfC) = 1 / (2π × 50 × 10 × 10^-6) = 318.31 ohms.
Correct Answer:
A
— 318.31 ohms
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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
Show solution
Solution
The standard cell potential of a Daniell cell is 1.10 V.
Correct Answer:
A
— 1.10 V
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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
Show solution
Solution
Using the Nernst equation, E = E° - (RT/nF)lnQ, we find E ≈ 1.0 V.
Correct Answer:
B
— 1.0 V
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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
Show solution
Solution
ΔS = Q/T = 2260 kJ / 373 K = 6.06 kJ/K.
Correct Answer:
A
— 2260 J/K
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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
Show solution
Solution
For an isothermal process, the change in internal energy ΔU = 0 for an ideal gas.
Correct Answer:
A
— 0
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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)
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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
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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
Show solution
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
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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
Show solution
Solution
Change in internal energy (ΔU) = Q - W = 300 J - 100 J = 200 J.
Correct Answer:
A
— 200 J
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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
Show solution
Solution
Using the first law of thermodynamics, ΔU = Q - W = 200 J - 50 J = 150 J.
Correct Answer:
A
— 150 J
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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
Show solution
Solution
Using the first law of thermodynamics: ΔU = Q - W = 300 J - 100 J = 200 J.
Correct Answer:
A
— 200 J
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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
Show solution
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
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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
Show solution
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
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Q. What is the chemical formula for sodium chloride? (2023) 2023
A.
NaCl
B.
Na2Cl
C.
NaCl2
D.
Na2Cl2
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Solution
The chemical formula for sodium chloride is NaCl.
Correct Answer:
A
— NaCl
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Q. What is the chemical formula for table salt? (2019)
A.
NaCl
B.
KCl
C.
CaCl2
D.
MgCl2
Show solution
Solution
Table salt is chemically known as sodium chloride, which has the formula NaCl.
Correct Answer:
A
— NaCl
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Q. What is the coefficient of x^0 in the expansion of (2x - 3)^5? (2022)
A.
-243
B.
243
C.
-81
D.
81
Show solution
Solution
The constant term is C(5,5)(-3)^5 = -243.
Correct Answer:
A
— -243
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Q. What is the coefficient of x^0 in the expansion of (3x + 2)^5? (2022)
Show solution
Solution
The coefficient of x^0 is C(5,5) * (3x)^0 * (2)^5 = 1 * 32 = 32.
Correct Answer:
C
— 64
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Q. What is the coefficient of x^0 in the expansion of (x + 1/x)^8? (2021)
Show solution
Solution
The coefficient of x^0 occurs when k=4, which gives us 8C4 = 70.
Correct Answer:
C
— 70
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Q. What is the coefficient of x^1 in the expansion of (x + 1)^10? (2021)
Show solution
Solution
The coefficient of x^1 is C(10,1)(1)^9 = 10.
Correct Answer:
A
— 10
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Q. What is the coefficient of x^1 in the expansion of (x + 5)^6?
Show solution
Solution
The coefficient of x^1 is C(6,1) * 5^5 = 6 * 3125 = 18750.
Correct Answer:
C
— 90
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Q. What is the coefficient of x^1 in the expansion of (x - 1)^5?
Show solution
Solution
The coefficient of x^1 is given by 5C1 * (-1)^4 = 5 * 1 = 5.
Correct Answer:
A
— -5
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Q. What is the coefficient of x^2 in the expansion of (2x + 1)^6?
Show solution
Solution
The coefficient of x^2 is C(6,2) * (2)^2 * (1)^4 = 15 * 4 = 60.
Correct Answer:
B
— 30
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Q. What is the coefficient of x^2 in the expansion of (2x - 1)^5? (2021)
Show solution
Solution
The coefficient of x^2 is C(5,2) * (2)^2 * (-1)^3 = 10 * 4 * (-1) = -40.
Correct Answer:
B
— 20
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Q. What is the coefficient of x^2 in the expansion of (3x - 4)^6?
A.
540
B.
720
C.
1080
D.
1440
Show solution
Solution
The coefficient of x^2 is C(6,2) * (3)^2 * (-4)^(6-2) = 15 * 9 * 256 = 34560.
Correct Answer:
C
— 1080
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Q. What is the coefficient of x^2 in the expansion of (x + 1/2)^8?
Show solution
Solution
The coefficient of x^2 is C(8,2) * (1/2)^2 = 28 * 1/4 = 7.
Correct Answer:
C
— 70
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Q. What is the coefficient of x^2 in the expansion of (x + 3)^5?
Show solution
Solution
The coefficient of x^2 is given by 5C2 * (3)^3 = 10 * 27 = 270.
Correct Answer:
A
— 45
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Q. What is the coefficient of x^2 in the expansion of (x + 4)^5?
A.
80
B.
100
C.
120
D.
160
Show solution
Solution
The coefficient of x^2 is C(5,2) * 4^3 = 10 * 64 = 640.
Correct Answer:
A
— 80
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Q. What is the coefficient of x^2 in the expansion of (x + 5)^4?
A.
50
B.
100
C.
150
D.
200
Show solution
Solution
The coefficient of x^2 is C(4,2) * (5)^2 = 6 * 25 = 150.
Correct Answer:
B
— 100
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Showing 1471 to 1500 of 2530 (85 Pages)
MHT-CET MCQ & Objective Questions
The MHT-CET exam is a crucial stepping stone for students aspiring to pursue engineering and pharmacy courses in Maharashtra. Mastering the MHT-CET MCQ format is essential, as it not only tests your knowledge but also enhances your exam preparation strategy. Practicing objective questions helps in identifying important concepts and improves your chances of scoring better in this competitive exam.
What You Will Practise Here
Fundamental concepts in Physics, Chemistry, and Mathematics
Key formulas and their applications in problem-solving
Important definitions and terminologies relevant to MHT-CET
Diagrams and illustrations for better conceptual understanding
Practice questions that mirror the exam pattern
Analysis of previous years' MHT-CET questions
Techniques for tackling tricky MCQs effectively
Exam Relevance
The MHT-CET exam is aligned with the syllabus of CBSE, State Boards, and is also relevant for students preparing for NEET and JEE. Many concepts from the MHT-CET syllabus appear in these competitive exams, often in the form of application-based questions or conceptual MCQs. Understanding the common question patterns can significantly enhance your preparation and performance.
Common Mistakes Students Make
Misinterpreting questions due to lack of clarity in reading
Neglecting to review fundamental concepts before attempting MCQs
Overlooking units and dimensions in Physics and Chemistry problems
Rushing through practice questions without thorough understanding
Failing to manage time effectively during the exam
FAQs
Question: What are the best resources for MHT-CET MCQ questions?Answer: Utilizing online platforms like SoulShift, which offer a variety of practice questions and mock tests, can be very beneficial.
Question: How can I improve my speed in solving MHT-CET objective questions?Answer: Regular practice and timed mock tests can help enhance your speed and accuracy in solving MCQs.
Start your journey towards success by solving MHT-CET practice MCQs today! Test your understanding and build your confidence for the exam ahead.
