MHT-CET
Q. What is the final temperature when 200 g of ice at 0°C is added to 100 g of water at 80°C? (Assume no heat loss to the surroundings) (2023)
-
A.
0°C
-
B.
20°C
-
C.
40°C
-
D.
80°C
Solution
Using heat balance: m_ice * L_f + m_water * c * (T_final - 80) = 0. Solving gives T_final = 20°C.
Correct Answer: B — 20°C
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Q. What is the final temperature when 200 g of ice at 0°C is added to 100 g of water at 80°C? (Specific heat of water = 4.2 J/g°C) (2020)
-
A.
0°C
-
B.
20°C
-
C.
40°C
-
D.
80°C
Solution
Using the principle of conservation of energy, the heat lost by water equals the heat gained by ice. Solving gives a final temperature of 20°C.
Correct Answer: B — 20°C
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Q. What is the final volume when 100 mL of a 3 M solution is diluted to a concentration of 1 M? (2022) 2022
-
A.
300 mL
-
B.
200 mL
-
C.
100 mL
-
D.
150 mL
Solution
Using the dilution formula C1V1 = C2V2, we have 3 M * 100 mL = 1 M * V2. Thus, V2 = 300 mL.
Correct Answer: A — 300 mL
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Q. What is the force between two point charges of +2 µC and -3 µC separated by a distance of 0.5 m in vacuum?
-
A.
-24 N
-
B.
-12 N
-
C.
12 N
-
D.
24 N
Solution
Using Coulomb's law, F = k * |q1 * q2| / r^2 = (9 × 10^9) * |2 × 10^-6 * -3 × 10^-6| / (0.5)^2 = -24 N.
Correct Answer: A — -24 N
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Q. What is the formula for calculating the force of gravity between two masses? (2021)
-
A.
F = ma
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B.
F = G(m1m2)/r²
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C.
F = mv
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D.
F = mgh
Solution
The formula for gravitational force is F = G(m1m2)/r², where G is the gravitational constant.
Correct Answer: B — F = G(m1m2)/r²
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Q. What is the formula for calculating the number of moles? (2023) 2023
-
A.
Mass/Volume
-
B.
Mass/Molar Mass
-
C.
Volume/Mass
-
D.
Molar Mass/Volume
Solution
The number of moles is calculated using the formula: Moles = Mass / Molar Mass.
Correct Answer: B — Mass/Molar Mass
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Q. What is the formula for calculating the total current in a parallel RLC circuit? (2023)
-
A.
I = V/R
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B.
I = V/(1/R + 1/X)
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C.
I = V/(R + X)
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D.
I = V/R + V/X
Solution
In a parallel RLC circuit, the total current is calculated using I = V/(1/R + 1/X), where X is the total reactance.
Correct Answer: B — I = V/(1/R + 1/X)
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Q. What is the formula for the average power consumed in an AC circuit with a phase angle φ? (2020)
-
A.
P = VI
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B.
P = VI cos(φ)
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C.
P = VI sin(φ)
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D.
P = V²/R
Solution
The average power P in an AC circuit is given by P = VI cos(φ), where φ is the phase angle.
Correct Answer: B — P = VI cos(φ)
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Q. What is the formula for the complex formed between iron(III) and thiocyanate? (2021)
-
A.
[Fe(SCN)3]
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B.
[Fe(SCN)2]
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C.
[Fe(SCN)6]3+
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D.
[Fe(SCN)4]2-
Solution
The complex formed is [Fe(SCN)3] as iron(III) can bond with three thiocyanate ions.
Correct Answer: A — [Fe(SCN)3]
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Q. What is the formula for the resonant frequency of an RLC circuit? (2021)
-
A.
f = 1/(2π√(LC))
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B.
f = R/(2πL)
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C.
f = 1/(2πRC)
-
D.
f = 2π√(LC)
Solution
The resonant frequency f of an RLC circuit is given by f = 1/(2π√(LC)).
Correct Answer: A — f = 1/(2π√(LC))
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Q. What is the freezing point depression of a solution containing 1 mol of NaCl in 1 kg of water? (Kf for water = 1.86 °C kg/mol) (2023)
-
A.
1.86 °C
-
B.
3.72 °C
-
C.
2.00 °C
-
D.
0.93 °C
Solution
Freezing point depression (ΔTf) = i * Kf * m. For NaCl, i = 2 (dissociates into Na+ and Cl-). m = 1 mol/kg. ΔTf = 2 * 1.86 °C kg/mol * 1 = 3.72 °C.
Correct Answer: B — 3.72 °C
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Q. What is the frequency of a pendulum that completes 30 oscillations in 60 seconds? (2017)
-
A.
0.5 Hz
-
B.
1 Hz
-
C.
2 Hz
-
D.
3 Hz
Solution
Frequency f = number of oscillations / time = 30 / 60 = 0.5 Hz.
Correct Answer: B — 1 Hz
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Q. What is the frequency of a sound wave with a period of 0.01 seconds? (2014)
-
A.
100 Hz
-
B.
200 Hz
-
C.
50 Hz
-
D.
10 Hz
Solution
Frequency = 1/Period = 1/0.01 s = 100 Hz.
Correct Answer: A — 100 Hz
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Q. What is the frequency of a tuning fork that vibrates 256 times in 2 seconds? (2019)
-
A.
128 Hz
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B.
256 Hz
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C.
512 Hz
-
D.
64 Hz
Solution
Frequency (f) = Number of vibrations / Time = 256 / 2 = 128 Hz.
Correct Answer: A — 128 Hz
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Q. What is the frequency of a wave with a period of 0.01 s? (2020)
-
A.
100 Hz
-
B.
50 Hz
-
C.
200 Hz
-
D.
10 Hz
Solution
Frequency f = 1/T = 1/0.01 s = 100 Hz.
Correct Answer: A — 100 Hz
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Q. What is the frequency of a wave with a period of 0.1 s? (2020)
-
A.
10 Hz
-
B.
5 Hz
-
C.
20 Hz
-
D.
15 Hz
Solution
Frequency f = 1/T = 1/0.1 s = 10 Hz.
Correct Answer: A — 10 Hz
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Q. What is the frequency of a wave with a period of 0.2 seconds?
-
A.
5 Hz
-
B.
10 Hz
-
C.
20 Hz
-
D.
50 Hz
Solution
Frequency (f) is the reciprocal of the period (T). Therefore, f = 1/T = 1/0.2 s = 5 Hz.
Correct Answer: B — 10 Hz
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Q. What is the frequency of a wave with a period of 0.5 seconds? (2019)
-
A.
2 Hz
-
B.
1 Hz
-
C.
0.5 Hz
-
D.
4 Hz
Solution
Frequency (f) = 1/Period (T) = 1/0.5 s = 2 Hz.
Correct Answer: A — 2 Hz
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Q. What is the frequency of a wave with a speed of 300 m/s and a wavelength of 3 m? (2023)
-
A.
100 Hz
-
B.
150 Hz
-
C.
200 Hz
-
D.
250 Hz
Solution
Frequency (f) = speed (v) / wavelength (λ) = 300 m/s / 3 m = 100 Hz.
Correct Answer: B — 150 Hz
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Q. What is the frequency of a wave with a wavelength of 2 m and a speed of 340 m/s?
-
A.
170 Hz
-
B.
340 Hz
-
C.
85 Hz
-
D.
420 Hz
Solution
Frequency (f) is given by the formula f = speed / wavelength. Here, f = 340 m/s / 2 m = 170 Hz.
Correct Answer: A — 170 Hz
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Q. What is the functional group of alcohols? (2020)
-
A.
-OH
-
B.
-COOH
-
C.
-CHO
-
D.
-NH2
Solution
The functional group of alcohols is the hydroxyl group (-OH).
Correct Answer: A — -OH
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Q. What is the functional group of aldehydes?
-
A.
-OH
-
B.
-CHO
-
C.
-C=O
-
D.
-COOH
Solution
The functional group of aldehydes is -CHO.
Correct Answer: B — -CHO
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Q. What is the functional group of phenols? (2019) 2019
-
A.
-OH
-
B.
-COOH
-
C.
-CHO
-
D.
-NH2
Solution
Phenols contain a hydroxyl group (-OH) directly attached to an aromatic ring.
Correct Answer: A — -OH
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Q. What is the functional group of phenols? (2021)
-
A.
-OH
-
B.
-COOH
-
C.
-CHO
-
D.
-NH2
Solution
Phenols contain a hydroxyl group (-OH) directly attached to an aromatic hydrocarbon group.
Correct Answer: A — -OH
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Q. What is the functional group present in alcohols? (2023) 2023
-
A.
Aldehyde
-
B.
Ketone
-
C.
Hydroxyl
-
D.
Carboxylic acid
Solution
Alcohols contain a hydroxyl (-OH) functional group.
Correct Answer: C — Hydroxyl
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Q. What is the functional group present in phenols? (2021)
-
A.
-OH
-
B.
-COOH
-
C.
-CHO
-
D.
-NH2
Solution
Phenols contain a hydroxyl group (-OH) directly attached to an aromatic hydrocarbon group.
Correct Answer: A — -OH
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Q. What is the functional group present in phenols? (2021) 2021
-
A.
-OH
-
B.
-COOH
-
C.
-CHO
-
D.
-NH2
Solution
Phenols contain a hydroxyl group (-OH) directly attached to an aromatic hydrocarbon group.
Correct Answer: A — -OH
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Q. What is the general formula for secondary amines? (2021) 2021
-
A.
RNH2
-
B.
R2NH
-
C.
R3N
-
D.
RNH
Solution
The general formula for secondary amines is R2NH, where R represents an alkyl or aryl group.
Correct Answer: B — R2NH
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Q. What is the general formula for secondary amines? (2023)
-
A.
RNH2
-
B.
R2NH
-
C.
R3N
-
D.
RNH
Solution
The general formula for secondary amines is R2NH, where R represents an alkyl group.
Correct Answer: B — R2NH
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Q. What is the general solution of the equation y' = 4y + 3?
-
A.
y = Ce^(4x) - 3/4
-
B.
y = Ce^(4x) + 3/4
-
C.
y = 3e^(4x)
-
D.
y = Ce^(3x) + 4
Solution
The integrating factor is e^(-4x). The solution is y = Ce^(4x) + 3/4.
Correct Answer: B — y = Ce^(4x) + 3/4
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