MHT-CET
Q. What happens to the magnetic field when the current in a solenoid is reversed? (2023)
A.
It remains the same
B.
It disappears
C.
It reverses direction
D.
It doubles
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Solution
When the current in a solenoid is reversed, the direction of the magnetic field also reverses.
Correct Answer: C — It reverses direction
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Q. What happens to the magnetic field when the distance from a long straight conductor is doubled? (2023)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
The magnetic field around a long straight conductor decreases with distance. Specifically, it is inversely proportional to the distance from the conductor.
Correct Answer: B — It halves
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Q. What happens to the pressure of a gas if the volume is decreased while the temperature remains constant?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Doubles
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Solution
According to Boyle's Law, if the volume decreases and temperature is constant, the pressure increases.
Correct Answer: A — Increases
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Q. What happens to the temperature of a gas during an isothermal expansion? (2021)
A.
Increases
B.
Decreases
C.
Remains constant
D.
Varies with pressure
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Solution
During an isothermal expansion, the temperature of the gas remains constant as the system absorbs heat to do work.
Correct Answer: C — Remains constant
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Q. What happens to the volume of a gas when its temperature increases at constant pressure? (2020)
A.
Volume decreases
B.
Volume remains constant
C.
Volume increases
D.
Volume fluctuates
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Solution
According to Charles's Law, the volume of a gas increases with an increase in temperature at constant pressure.
Correct Answer: C — Volume increases
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Q. What is the 3rd term in the expansion of (x + 3)^5? (2023)
A.
45
B.
90
C.
135
D.
180
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Solution
The 3rd term is C(5,2) * (3)^2 * (x)^3 = 10 * 9 * x^3 = 90.
Correct Answer: B — 90
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Q. What is the 3rd term in the expansion of (x + 4)^5? (2023)
A.
80x^3
B.
160x^3
C.
240x^3
D.
320x^3
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Solution
The 3rd term is given by C(5,2) * (4)^2 * (x)^3 = 10 * 16 * x^3 = 160x^3.
Correct Answer: C — 240x^3
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Q. What is the 5th term in the expansion of (3x - 2)^7? (2023)
A.
-1680x^3
B.
1680x^3
C.
-2520x^3
D.
2520x^3
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Solution
The 5th term is given by C(7,4) * (3x)^4 * (-2)^3 = 35 * 81 * (-8) = -1680x^3.
Correct Answer: A — -1680x^3
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Q. What is the angle between the lines y = 2x + 1 and y = -1/2x + 3?
A.
90 degrees
B.
60 degrees
C.
45 degrees
D.
30 degrees
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Solution
The slopes are m1 = 2 and m2 = -1/2. The angle θ = tan^(-1) |(m1 - m2) / (1 + m1*m2)| = tan^(-1)(5/4) which is approximately 60 degrees.
Correct Answer: B — 60 degrees
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Q. What is the area of a circle with a diameter of 16 cm? (2023) 2023
A.
64π cm²
B.
32π cm²
C.
16π cm²
D.
8π cm²
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Solution
Radius = diameter/2 = 16/2 = 8 cm. Area = πr² = π(8)² = 64π cm².
Correct Answer: A — 64π cm²
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Q. What is the area of a circle with a radius of 10 m? (2023)
A.
314 m²
B.
100 m²
C.
200 m²
D.
150 m²
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Solution
Area = πr² = π * 10² = 314 m².
Correct Answer: A — 314 m²
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Q. What is the area of a circle with a radius of 3 cm? (2021)
A.
28.26 cm²
B.
9.42 cm²
C.
12.56 cm²
D.
18.84 cm²
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Solution
Area = πr² = π * 3² = 28.26 cm².
Correct Answer: C — 12.56 cm²
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Q. What is the area of a circle with a radius of 3 m? (2020)
A.
28.26 m²
B.
9.42 m²
C.
18.84 m²
D.
12.56 m²
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Solution
Area = πr²; = π * 3² = 28.26 m².
Correct Answer: A — 28.26 m²
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Q. What is the area of a circle with radius 7? (2022)
A.
154
B.
144
C.
160
D.
150
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Solution
Area = πr^2 = π(7^2) = 49π ≈ 154.
Correct Answer: A — 154
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Q. What is the area of a sector of a circle with a radius of 4 cm and a central angle of 90 degrees? (2014)
A.
6.28 cm²
B.
12.56 cm²
C.
3.14 cm²
D.
9.42 cm²
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Solution
Area of sector = (θ/360) * πr²; = (90/360) * π * 4² = 12.56 cm².
Correct Answer: B — 12.56 cm²
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Q. What is the area of a sector of a circle with a radius of 7 cm and an angle of 90 degrees? (2022)
A.
38.5 cm²
B.
12.25 cm²
C.
15.4 cm²
D.
25.5 cm²
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Solution
Area of sector = (θ/360) * πr² = (90/360) * π * 7² = 38.5 cm².
Correct Answer: A — 38.5 cm²
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Q. What is the area of a triangle with base 10 cm and height 5 cm? (2021)
A.
25 cm²
B.
50 cm²
C.
15 cm²
D.
30 cm²
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Solution
Area = 1/2 * base * height = 1/2 * 10 * 5 = 25 cm².
Correct Answer: A — 25 cm²
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Q. What is the area of the base of a cone with radius 3? (2023)
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Solution
Area of base = πr² = π(3²) = 9π square units.
Correct Answer: A — 9π
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Q. What is the area of the base of a cylinder with radius 4 units? (2020)
A.
16π
B.
8π
C.
12π
D.
20π
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Solution
Area of base = πr² = π(4)² = 16π square units.
Correct Answer: A — 16π
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Q. What is the argument of the complex number -1 + 0i? (2021)
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Solution
The argument of -1 + 0i is π (180 degrees) since it lies on the negative x-axis.
Correct Answer: A — π
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Q. What is the atomic mass of Oxygen approximately? (2019)
A.
16 u
B.
18 u
C.
14 u
D.
12 u
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Solution
The atomic mass of Oxygen is approximately 16 u.
Correct Answer: A — 16 u
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Q. What is the atomic mass of Sodium (Na)? (2021)
A.
22.99
B.
23.00
C.
24.00
D.
25.00
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Solution
The atomic mass of Sodium (Na) is approximately 22.99 u.
Correct Answer: A — 22.99
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Q. What is the atomic number of Carbon? (2021)
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Solution
The atomic number of Carbon is 6, which is the number of protons in its nucleus.
Correct Answer: A — 6
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Q. What is the atomic number of Oxygen?
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Solution
The atomic number of Oxygen is 8.
Correct Answer: B — 8
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Q. What is the basic unit of proteins? (2023) 2023
A.
Monosaccharide
B.
Amino acid
C.
Nucleotide
D.
Fatty acid
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Solution
Proteins are made up of amino acids, which are their basic building blocks.
Correct Answer: B — Amino acid
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Q. What is the boiling point of water at standard atmospheric pressure?
A.
100°C
B.
0°C
C.
50°C
D.
150°C
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Solution
The boiling point of water at standard atmospheric pressure is 100°C.
Correct Answer: A — 100°C
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Q. What is the boiling point trend among alcohols? (2020) 2020
A.
Decreases with molecular weight
B.
Increases with molecular weight
C.
Remains constant
D.
Increases with branching
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Solution
The boiling point of alcohols increases with molecular weight due to stronger hydrogen bonding.
Correct Answer: B — Increases with molecular weight
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Q. What is the boiling point trend among primary, secondary, and tertiary amines?
A.
Primary > Secondary > Tertiary
B.
Tertiary > Secondary > Primary
C.
Secondary > Primary > Tertiary
D.
All have the same boiling point
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Solution
Primary amines have higher boiling points than secondary and tertiary amines due to stronger hydrogen bonding.
Correct Answer: A — Primary > Secondary > Tertiary
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Q. What is the boiling point trend of alcohols compared to alkanes?
A.
Higher
B.
Lower
C.
Same
D.
Varies
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Solution
Alcohols have higher boiling points than alkanes due to hydrogen bonding.
Correct Answer: A — Higher
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Q. What is the boiling point trend of amines compared to alkanes?
A.
Higher
B.
Lower
C.
Same
D.
Varies
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Solution
Amines have higher boiling points than alkanes due to hydrogen bonding.
Correct Answer: A — Higher
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