MHT-CET
Q. What is the product of the reaction between 1-bromopropane and sodium hydroxide in ethanol?
A.
Propene
B.
1-Propanol
C.
2-Propanol
D.
No reaction
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Solution
1-bromopropane reacts with sodium hydroxide in ethanol to form 1-Propanol via nucleophilic substitution.
Correct Answer: B — 1-Propanol
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Q. What is the product of the reaction between ammonia and ethyl bromide?
A.
Ethylamine
B.
Diethylamine
C.
Triethylamine
D.
Ammonium bromide
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Solution
The reaction produces Ethylamine as ammonia acts as a nucleophile and replaces the bromine atom.
Correct Answer: A — Ethylamine
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Q. What is the product of the reaction between an amine and an acid?
A.
Amide
B.
Salt
C.
Ester
D.
Alcohol
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Solution
The reaction between an amine and an acid produces a salt, as the amine acts as a base and accepts a proton from the acid.
Correct Answer: B — Salt
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Q. What is the product of the reaction between benzaldehyde and phenylmagnesium bromide?
A.
Benzyl alcohol
B.
Benzophenone
C.
Diphenylmethanol
D.
Benzene
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Solution
The reaction produces Diphenylmethanol when benzaldehyde reacts with phenylmagnesium bromide.
Correct Answer: C — Diphenylmethanol
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Q. What is the product of the reduction of Cr2O7^2- in acidic medium?
A.
CrO4^2-
B.
Cr^3+
C.
CrO3
D.
CrO2
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Solution
In acidic medium, Cr2O7^2- is reduced to Cr^3+.
Correct Answer: B — Cr^3+
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Q. What is the product of the roots of the equation 3x² - 12x + 9 = 0? (2022)
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Solution
The product of the roots is given by c/a = 9/3 = 3.
Correct Answer: B — 3
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Q. What is the product of the roots of the equation x^2 - 5x + 6 = 0? (2014) 2014
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Solution
The product of the roots is c/a = 6/1 = 6.
Correct Answer: A — 6
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Q. What is the product of the roots of the equation x² + 5x + 6 = 0? (2022)
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Solution
The product of the roots is given by c/a = 6/1 = 6.
Correct Answer: A — 6
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Q. What is the product of the roots of the equation x² - 10x + 24 = 0? (2021)
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Solution
The product of the roots is given by c/a = 24/1 = 24.
Correct Answer: A — 24
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Q. What is the projection of vector A = 3i + 4j onto vector B = i + j? (2020)
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Solution
proj_B(A) = (A · B / |B|^2)B = ((3*1 + 4*1) / (1^2 + 1^2))(i + j) = (7/2)(i + j) = 3.5.
Correct Answer: C — 5
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Q. What is the radius of a circle if the area is 154 square units? (2023)
A.
7 units
B.
14 units
C.
11 units
D.
10 units
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Solution
Area = πr²; 154 = 22/7 * r²; r² = 154 * 7/22 = 49; r = 7 units.
Correct Answer: A — 7 units
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Q. What is the radius of a circle if the diameter is 14 cm? (2021)
A.
7 cm
B.
14 cm
C.
21 cm
D.
28 cm
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Solution
Radius is half of the diameter. Therefore, radius = 14 cm / 2 = 7 cm.
Correct Answer: A — 7 cm
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Q. What is the rate constant of a first-order reaction if the half-life is 10 minutes? (2021)
A.
0.0693 min⁻¹
B.
0.1 min⁻¹
C.
0.693 min⁻¹
D.
0.5 min⁻¹
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Solution
For a first-order reaction, k = 0.693 / t₁/₂. Here, t₁/₂ = 10 min, so k = 0.693 / 10 = 0.0693 min⁻¹.
Correct Answer: A — 0.0693 min⁻¹
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Q. What is the rate law expression for a reaction that is first order with respect to A and second order with respect to B? (2022)
A.
Rate = k[A][B]^2
B.
Rate = k[A]^2[B]
C.
Rate = k[A]^2[B]^2
D.
Rate = k[A][B]
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Solution
The rate law for a reaction is determined by the order with respect to each reactant. For a first order with respect to A and second order with respect to B, the rate law is Rate = k[A][B]^2.
Correct Answer: A — Rate = k[A][B]^2
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Q. What is the rate law expression for a reaction that is second order with respect to reactant A? (2023)
A.
Rate = k[A]
B.
Rate = k[A]^2
C.
Rate = k[A]^2[B]
D.
Rate = k[A][B]
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Solution
For a second order reaction with respect to A, the rate law is expressed as Rate = k[A]^2.
Correct Answer: B — Rate = k[A]^2
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Q. What is the rate law for a reaction that is first order with respect to A and second order with respect to B? (2022) 2022
A.
Rate = k[A][B]^2
B.
Rate = k[A]^2[B]
C.
Rate = k[A]^2[B]^2
D.
Rate = k[A][B]
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Solution
The rate law is determined by the order of the reaction with respect to each reactant. For first order in A and second order in B, the rate law is Rate = k[A][B]^2.
Correct Answer: A — Rate = k[A][B]^2
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Q. What is the real part of the complex number 4 + 5i? (2023)
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Solution
The real part of the complex number 4 + 5i is 4.
Correct Answer: A — 4
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Q. What is the reduction potential of the half-reaction 2H⁺ + 2e⁻ → H₂?
A.
0.00 V
B.
0.34 V
C.
0.76 V
D.
1.23 V
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Solution
The standard reduction potential for 2H⁺ + 2e⁻ → H₂ is 0.00 V.
Correct Answer: D — 1.23 V
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Q. What is the relationship between Gibbs free energy (ΔG) and cell potential (E) in electrochemistry?
A.
ΔG = -nFE
B.
ΔG = nFE
C.
ΔG = -E/nF
D.
ΔG = E/nF
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Solution
The relationship is ΔG = -nFE, where n is the number of moles of electrons transferred.
Correct Answer: A — ΔG = -nFE
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Q. What is the relationship between the frequency and the period of a wave? (2021)
A.
Frequency is the square of the period
B.
Period is the reciprocal of frequency
C.
Frequency and period are unrelated
D.
Period is the square root of frequency
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Solution
The period T is the reciprocal of frequency f, given by T = 1/f.
Correct Answer: B — Period is the reciprocal of frequency
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Q. What is the relationship between the rate of reaction and temperature according to the Arrhenius equation? (2022)
A.
Inversely proportional
B.
Directly proportional
C.
Exponential
D.
Linear
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Solution
According to the Arrhenius equation, the rate of reaction increases exponentially with temperature.
Correct Answer: C — Exponential
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Q. What is the result of (15 + 5) × 2? (2023) 2023
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Solution
(15 + 5) = 20, so 20 × 2 = 40.
Correct Answer: A — 30
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Q. What is the result of (15 ÷ 3) × 4? (2020)
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Solution
15 ÷ 3 = 5, then 5 × 4 = 20.
Correct Answer: A — 20
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Q. What is the shape of the methane (CH4) molecule? (2023)
A.
Linear
B.
Trigonal planar
C.
Tetrahedral
D.
Octahedral
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Solution
Methane (CH4) has a tetrahedral shape due to the four pairs of bonding electrons around the central carbon atom.
Correct Answer: C — Tetrahedral
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Q. What is the shape of the s orbital? (2021) 2021
A.
Spherical
B.
Dumbbell
C.
Double dumbbell
D.
Linear
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Solution
The s orbital has a spherical shape.
Correct Answer: A — Spherical
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Q. What is the SI unit of electric charge? (2020)
A.
Coulomb
B.
Ampere
C.
Volt
D.
Ohm
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Solution
The SI unit of electric charge is Coulomb (C).
Correct Answer: A — Coulomb
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Q. What is the simplest ketone?
A.
Acetaldehyde
B.
Acetone
C.
Butanone
D.
Propionaldehyde
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Solution
Acetone (CH3COCH3) is the simplest ketone.
Correct Answer: B — Acetone
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Q. What is the slope of the line passing through the points (1, 2) and (3, 6)? (2020) 2020
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Solution
Slope = (6-2)/(3-1) = 4/2 = 2.
Correct Answer: A — 2
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Q. What is the slope of the line perpendicular to the line 7x - 2y = 14?
A.
1/7
B.
-1/7
C.
2/7
D.
-2/7
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Solution
The slope of the line is 7/2. The slope of the perpendicular line is the negative reciprocal, which is -2/7.
Correct Answer: B — -1/7
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Q. What is the slope of the tangent line to f(x) = x^2 + 2x at x = 1? (2023)
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Solution
f'(x) = 2x + 2. At x = 1, f'(1) = 2(1) + 2 = 4.
Correct Answer: B — 3
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