Q. If a 5 kg object is moving with a speed of 10 m/s, what is its total mechanical energy assuming no potential energy?
A.
250 J
B.
500 J
C.
100 J
D.
50 J
Show solution
Solution
Total Mechanical Energy = Kinetic Energy = 0.5 * m * v² = 0.5 * 5 kg * (10 m/s)² = 250 J.
Correct Answer:
B
— 500 J
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Q. If a 5 kg object is moving with a velocity of 3 m/s, what is its kinetic energy? (2023)
A.
22.5 J
B.
30 J
C.
45 J
D.
60 J
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Solution
Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 5 kg × (3 m/s)² = 22.5 J
Correct Answer:
C
— 45 J
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Q. If a 5 kg object is moving with a velocity of 3 m/s, what is its momentum? (2023)
A.
5 kg·m/s
B.
10 kg·m/s
C.
15 kg·m/s
D.
20 kg·m/s
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Solution
Momentum p = mv = 5 kg * 3 m/s = 15 kg·m/s.
Correct Answer:
C
— 15 kg·m/s
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Q. If a 5 kg object is subjected to a net force of 20 N, what is its acceleration? (2023)
A.
2 m/s²
B.
4 m/s²
C.
5 m/s²
D.
10 m/s²
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Solution
Using F = ma, we find a = F/m = 20 N / 5 kg = 4 m/s².
Correct Answer:
B
— 4 m/s²
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Q. If a 5Ω resistor is connected in series with a 10Ω resistor, what is the total resistance? (2022)
A.
15Ω
B.
5Ω
C.
10Ω
D.
20Ω
Show solution
Solution
In series, R_eq = R1 + R2 = 5Ω + 10Ω = 15Ω.
Correct Answer:
A
— 15Ω
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Q. If a 5Ω resistor is connected to a 10V source, what is the power dissipated? (2023)
A.
2W
B.
5W
C.
10W
D.
20W
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Solution
Power P = V²/R = (10V)² / 5Ω = 100 / 5 = 20W.
Correct Answer:
C
— 10W
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Q. If a 6Ω and a 3Ω resistor are connected in parallel, what is the equivalent resistance? (2022)
A.
2Ω
B.
4Ω
C.
1.5Ω
D.
9Ω
Show solution
Solution
Using the formula for parallel resistors: 1/R_eq = 1/R1 + 1/R2 = 1/6 + 1/3 = 1/6 + 2/6 = 3/6. Therefore, R_eq = 2Ω.
Correct Answer:
A
— 2Ω
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Q. If a 6Ω resistor is connected in parallel with a 3Ω resistor, what is the equivalent resistance? (2023)
A.
2Ω
B.
1.5Ω
C.
4Ω
D.
9Ω
Show solution
Solution
Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/6 + 1/3 = 1/6 + 2/6 = 3/6, thus R_eq = 2Ω.
Correct Answer:
A
— 2Ω
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Q. If a 9V battery is connected to a 3Ω resistor, what is the current flowing through it? (2021)
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Solution
Using Ohm's law, I = V/R = 9V / 3Ω = 3A.
Correct Answer:
B
— 2A
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Q. If a 9V battery is connected to a 3Ω resistor, what is the energy consumed in 10 seconds? (2023)
A.
30J
B.
90J
C.
60J
D.
45J
Show solution
Solution
Power (P) = V²/R = 9²/3 = 27W. Energy (E) = P * t = 27W * 10s = 270J.
Correct Answer:
B
— 90J
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Q. If a 9V battery is connected to a 3Ω resistor, what is the power dissipated in the resistor? (2023)
Show solution
Solution
Power (P) can be calculated using P = V²/R = (9V)² / 3Ω = 81 / 3 = 27W.
Correct Answer:
A
— 3W
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Q. If a 9V battery is connected to a 3Ω resistor, what is the voltage drop across the resistor? (2023)
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Solution
The voltage drop across the resistor is equal to the battery voltage, which is 9V.
Correct Answer:
C
— 9V
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Q. If a = 2 and b = 3, what is the value of a^3 + b^3? (2021)
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Solution
a^3 = 2^3 = 8 and b^3 = 3^3 = 27, so 8 + 27 = 35.
Correct Answer:
A
— 35
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Q. If A = 2i + 3j and B = 3i + 4j, what is the angle between A and B? (2021)
A.
0 degrees
B.
45 degrees
C.
90 degrees
D.
180 degrees
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Solution
cos(θ) = (A · B) / (|A||B|) = (2*3 + 3*4) / (√(2^2 + 3^2) * √(3^2 + 4^2)) = 0.7071, θ = 45 degrees.
Correct Answer:
B
— 45 degrees
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Q. If a = 3 and b = 4, what is a^2 + b^2? (2017)
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Solution
a^2 = 9 and b^2 = 16, so 9 + 16 = 25.
Correct Answer:
A
— 25
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Q. If a = 3 and b = 4, what is the value of a^2 + b^2? (2019)
Show solution
Solution
a^2 = 9 and b^2 = 16, so 9 + 16 = 25.
Correct Answer:
A
— 25
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Q. If A = 3i + 4j and B = 2i - j, what is A + B? (2021)
A.
5i + 3j
B.
5i + 5j
C.
1i + 5j
D.
1i + 3j
Show solution
Solution
A + B = (3i + 4j) + (2i - j) = (3 + 2)i + (4 - 1)j = 5i + 3j.
Correct Answer:
A
— 5i + 3j
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Q. If a = 4 and b = 2, what is the value of a^2 + b^2? (2020)
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Solution
a^2 = 16 and b^2 = 4, so 16 + 4 = 20.
Correct Answer:
A
— 20
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Q. If A = 4i + 2j and B = -i + 3j, what is the scalar triple product A · (B × A)? (2023)
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Solution
B × A = |i j k| |-1 3 0| |4 2 0| = 0, hence A · (B × A) = 0.
Correct Answer:
A
— 0
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Q. If A = 5i + 12j, what is the unit vector in the direction of A? (2021)
A.
(5/13)i + (12/13)j
B.
(12/13)i + (5/13)j
C.
(5/12)i + (12/5)j
D.
(12/5)i + (5/12)j
Show solution
Solution
Unit vector = A / |A| = (5i + 12j) / √(5^2 + 12^2) = (5/13)i + (12/13)j.
Correct Answer:
A
— (5/13)i + (12/13)j
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Q. If A = i + 2j + 3k and B = 4i + 5j + 6k, what is A - B? (2023)
A.
-3i - 3j - 3k
B.
-3i - 3j + 3k
C.
3i + 3j + 3k
D.
3i + 3j - 3k
Show solution
Solution
A - B = (1 - 4)i + (2 - 5)j + (3 - 6)k = -3i - 3j - 3k.
Correct Answer:
A
— -3i - 3j - 3k
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Q. If A = {2, 4, 6} and B = {1, 2, 3}, what is A ∩ B?
A.
{2}
B.
{4, 6}
C.
{1, 2, 3}
D.
{}
Show solution
Solution
The intersection A ∩ B includes elements that are in both A and B. Here, A ∩ B = {2}.
Correct Answer:
A
— {2}
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Q. If A = {x | x is a prime number less than 10}, what is A?
A.
{2, 3, 5, 7}
B.
{1, 2, 3, 4}
C.
{2, 4, 6, 8}
D.
{3, 5, 7, 9}
Show solution
Solution
The prime numbers less than 10 are 2, 3, 5, and 7. Therefore, A = {2, 3, 5, 7}.
Correct Answer:
A
— {2, 3, 5, 7}
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Q. If A = {x | x is an even number} and B = {x | x is a multiple of 3}, what is A ∪ B?
A.
{0, 2, 4, 6, ...}
B.
{0, 3, 6, 9, ...}
C.
{0, 2, 3, 4, 6, 9, ...}
D.
{0, 1, 2, 3, ...}
Show solution
Solution
The union A ∪ B includes all even numbers and all multiples of 3. Thus, A ∪ B = {0, 2, 3, 4, 6, 9, ...}.
Correct Answer:
C
— {0, 2, 3, 4, 6, 9, ...}
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Q. If a bag contains 4 green and 6 yellow marbles, what is the probability of picking a green marble?
A.
2/5
B.
4/10
C.
4/6
D.
1/3
Show solution
Solution
Total marbles = 4 + 6 = 10. Probability of green marble = 4/10 = 2/5.
Correct Answer:
A
— 2/5
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Q. If a bag contains 4 green and 6 yellow marbles, what is the probability of picking a yellow marble?
A.
2/5
B.
3/5
C.
4/5
D.
1/5
Show solution
Solution
Total marbles = 4 + 6 = 10. Probability of yellow = 6/10 = 3/5.
Correct Answer:
B
— 3/5
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Q. If a body is moving in a circular path with a constant speed, what is its acceleration? (2023)
A.
Zero
B.
Tangential
C.
Centripetal
D.
Radial
Show solution
Solution
The body experiences centripetal acceleration directed towards the center of the circular path.
Correct Answer:
C
— Centripetal
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Q. If a body is moving in a circular path with a constant speed, what type of acceleration does it experience?
A.
Centripetal acceleration
B.
Linear acceleration
C.
Angular acceleration
D.
No acceleration
Show solution
Solution
A body moving in a circular path experiences centripetal acceleration directed towards the center of the circle.
Correct Answer:
A
— Centripetal acceleration
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Q. If a capacitor is charged to 12V and has a capacitance of 6μF, what is the stored energy? (2022)
A.
0.432 mJ
B.
0.072 mJ
C.
0.864 mJ
D.
0.216 mJ
Show solution
Solution
Energy = 0.5 × C × V² = 0.5 × 6 × 10^-6 × 12² = 0.432 mJ.
Correct Answer:
A
— 0.432 mJ
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Q. If a car accelerates from rest to a speed of 20 m/s, and its mass is 1000 kg, what is the kinetic energy of the car at that speed? (2020)
A.
200 J
B.
1000 J
C.
2000 J
D.
4000 J
Show solution
Solution
Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 1000 kg × (20 m/s)² = 200000 J = 2000 J
Correct Answer:
C
— 2000 J
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Showing 841 to 870 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.
