Major Competitive Exams
Q. What is the term used for the amount of solute that can be adsorbed per unit mass of adsorbent?
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A.
Adsorption isotherm
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B.
Adsorption capacity
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C.
Adsorption efficiency
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D.
Adsorption rate
Solution
The term 'adsorption capacity' refers to the amount of solute that can be adsorbed per unit mass of adsorbent.
Correct Answer: B — Adsorption capacity
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Q. What is the term used for the scientific study of living organisms? (2020)
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A.
Biology
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B.
Zoology
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C.
Botany
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D.
Ecology
Solution
Biology is the scientific study of living organisms.
Correct Answer: A — Biology
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Q. What is the theoretical yield of Na2SO4 when 10 g of Na reacts with excess sulfuric acid?
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A.
20 g
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B.
30 g
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C.
40 g
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D.
50 g
Solution
10 g of Na = 0.434 moles. 2Na + H2SO4 → Na2SO4 + H2. 0.434 moles of Na2SO4 = 0.434 * 142 g = 61.6 g.
Correct Answer: B — 30 g
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Q. What is the theoretical yield of NaCl when 23 g of Na reacts with Cl2?
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A.
58.5 g
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B.
23 g
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C.
46 g
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D.
69 g
Solution
23 g of Na = 1 mole. 1 mole of Na produces 1 mole of NaCl = 58.5 g.
Correct Answer: A — 58.5 g
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Q. What is the theoretical yield of NaCl when 23 g of Na reacts with excess Cl2?
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A.
58.5 g
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B.
23 g
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C.
46 g
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D.
11.5 g
Solution
23 g of Na = 1 mole. 1 mole of Na produces 1 mole of NaCl = 58.5 g.
Correct Answer: A — 58.5 g
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Q. What is the thermal conductivity of a material if a 1 m² area of it conducts 100 J of heat in 10 seconds with a temperature difference of 20°C?
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A.
2 W/m°C
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B.
5 W/m°C
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C.
10 W/m°C
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D.
20 W/m°C
Solution
Using the formula Q = kA(T1-T2)t, we find k = Q / (A(T1-T2)t) = 100 J / (1 m² * 20°C * 10 s) = 0.5 W/m°C.
Correct Answer: B — 5 W/m°C
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Q. What is the threshold frequency for a metal if the work function is 4.5 eV?
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A.
5.4 x 10^14 Hz
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B.
6.0 x 10^14 Hz
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C.
7.2 x 10^14 Hz
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D.
8.0 x 10^14 Hz
Solution
Threshold frequency (ν₀) = Work function (Φ) / h = 4.5 eV / (4.14 x 10^-15 eV·s) = 5.4 x 10^14 Hz.
Correct Answer: A — 5.4 x 10^14 Hz
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Q. What is the threshold of hearing in terms of sound intensity level?
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A.
0 dB
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B.
10 dB
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C.
20 dB
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D.
30 dB
Solution
The threshold of hearing is defined as 0 dB, which corresponds to the faintest sound that can be heard by the average human ear.
Correct Answer: A — 0 dB
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Q. What is the time difference between two places located at 30°E and 30°W?
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A.
2 hours
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B.
4 hours
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C.
6 hours
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D.
8 hours
Solution
The total angular distance is 30° + 30° = 60°. The time difference is 60 / 15 = 4 hours.
Correct Answer: C — 6 hours
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Q. What is the time difference between two places located at 75 degrees East and 15 degrees West longitude? (2020)
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A.
6 hours
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B.
8 hours
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C.
10 hours
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D.
12 hours
Solution
The total difference in longitude is 75 + 15 = 90 degrees. Therefore, the time difference is 90/15 = 6 hours.
Correct Answer: B — 8 hours
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Q. What is the time period of a damped oscillator with a damping ratio of 0.1 and a natural frequency of 10 rad/s?
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A.
0.2 s
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B.
0.3 s
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C.
0.4 s
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D.
0.5 s
Solution
Time period (T) = 2π/ω_n = 2π/10 = 0.2π ≈ 0.628 s.
Correct Answer: C — 0.4 s
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Q. What is the time period of a damped oscillator with a natural frequency of 3 rad/s and a damping ratio of 0.1?
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A.
2π/3
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B.
2π/3.1
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C.
2π/3.2
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D.
2π/3.3
Solution
Time period (T) = 2π/ω_n = 2π/3 rad/s = 2π/3.
Correct Answer: A — 2π/3
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Q. What is the time period of a simple pendulum of length L?
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A.
2π√(L/g)
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B.
2π√(g/L)
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C.
g/2π√L
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D.
L/2π√g
Solution
The time period T of a simple pendulum is given by T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity.
Correct Answer: A — 2π√(L/g)
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Q. What is the tone of the passage discussing the impact of social media on communication?
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A.
Critical
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B.
Celebratory
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C.
Neutral
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D.
Nostalgic
Solution
The passage critically examines the negative effects of social media on genuine communication.
Correct Answer: A — Critical
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Q. What is the tone of the passage regarding the future of artificial intelligence? (2023)
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A.
Optimistic
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B.
Cautious
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C.
Skeptical
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D.
Indifferent
Solution
The author expresses a hopeful outlook on the advancements and potential of artificial intelligence, indicating optimism.
Correct Answer: B — Cautious
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Q. What is the tone of the passage regarding the future of climate policy?
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A.
Optimistic
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B.
Pessimistic
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C.
Neutral
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D.
Cynical
Solution
The tone is pessimistic, reflecting concerns about the lack of effective action and the potential consequences of inaction.
Correct Answer: B — Pessimistic
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Q. What is the tone of the passage regarding the future of technology?
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A.
Pessimistic
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B.
Optimistic
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C.
Neutral
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D.
Skeptical
Solution
The author expresses an optimistic view about the potential of technology to improve lives.
Correct Answer: B — Optimistic
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Q. What is the tone of the passage regarding the issue of inequalities?
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A.
Optimistic
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B.
Pessimistic
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C.
Neutral
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D.
Indifferent
Solution
The author maintains an optimistic tone, suggesting that change is possible and necessary.
Correct Answer: A — Optimistic
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Q. What is the tone of the passage? (2023)
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A.
Sarcastic
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B.
Formal
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C.
Casual
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D.
Pessimistic
Solution
The tone is formal, as it discusses serious topics in a structured manner.
Correct Answer: B — Formal
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Q. What is the torque about a pivot if a force of 12 N is applied at a distance of 0.25 m at an angle of 90 degrees?
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A.
3 Nm
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B.
6 Nm
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C.
12 Nm
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D.
24 Nm
Solution
Torque = Force × Distance = 12 N × 0.25 m = 3 Nm.
Correct Answer: C — 12 Nm
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Q. What is the torque about a pivot if a force of 8 N is applied perpendicular to a lever arm of 0.75 m?
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A.
4 Nm
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B.
6 Nm
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C.
8 Nm
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D.
10 Nm
Solution
Torque = Force × Distance = 8 N × 0.75 m = 6 Nm.
Correct Answer: C — 8 Nm
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Q. What is the torque produced by a 60 N force acting at a distance of 0.75 m from the pivot point?
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A.
45 Nm
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B.
60 Nm
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C.
75 Nm
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D.
90 Nm
Solution
Torque = Force × Distance = 60 N × 0.75 m = 45 Nm.
Correct Answer: A — 45 Nm
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Q. What is the torque produced by a 60 N force applied at a distance of 0.75 m from the pivot point?
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A.
45 Nm
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B.
60 Nm
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C.
75 Nm
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D.
90 Nm
Solution
Torque = Force × Distance = 60 N × 0.75 m = 45 Nm.
Correct Answer: A — 45 Nm
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Q. What is the torque produced by a force of 10 N applied at a distance of 2 m from the pivot point, perpendicular to the lever arm?
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A.
5 Nm
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B.
10 Nm
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C.
20 Nm
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D.
15 Nm
Solution
Torque (τ) = Force (F) × Distance (r) = 10 N × 2 m = 20 Nm.
Correct Answer: C — 20 Nm
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Q. What is the torque produced by a force of 15 N acting at an angle of 90 degrees to the lever arm of 0.5 m?
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A.
0 Nm
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B.
7.5 Nm
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C.
15 Nm
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D.
30 Nm
Solution
Torque = Force × Distance × sin(θ) = 15 N × 0.5 m × sin(90°) = 15 Nm.
Correct Answer: C — 15 Nm
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Q. What is the torque produced by a force of 25 N acting at an angle of 90 degrees to the lever arm of 0.5 m?
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A.
12.5 Nm
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B.
25 Nm
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C.
50 Nm
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D.
0 Nm
Solution
Torque = Force × Distance × sin(90°) = 25 N × 0.5 m × 1 = 12.5 Nm.
Correct Answer: B — 25 Nm
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Q. What is the total capacitance of two capacitors of 3 µF and 6 µF connected in parallel?
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A.
2 µF
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B.
3 µF
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C.
9 µF
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D.
18 µF
Solution
In parallel, the total capacitance is the sum: C_total = C1 + C2 = 3 µF + 6 µF = 9 µF.
Correct Answer: C — 9 µF
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Q. What is the total current flowing in a circuit with three resistors in parallel, each carrying 2 A? (2021)
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A.
2 A
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B.
4 A
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C.
6 A
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D.
8 A
Solution
In parallel, the total current is the sum of the currents: 2 A + 2 A + 2 A = 6 A.
Correct Answer: C — 6 A
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Q. What is the total current flowing through a circuit if the total voltage is 12 V and the total resistance is 4 ohms?
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A.
3 A
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B.
4 A
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C.
12 A
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D.
48 A
Solution
Using Ohm's Law, I = V / R. Here, I = 12 V / 4 ohms = 3 A.
Correct Answer: A — 3 A
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Q. What is the total current flowing through a circuit if the total voltage is 12V and the total resistance is 4Ω?
Solution
Using Ohm's Law (I = V/R), the current is I = 12V / 4Ω = 3A.
Correct Answer: B — 3A
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