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4710 quizzes
A refrigerator in a room at 27 °C (300 K) turns 1.0 kg of water, which starts at room temperature, into ice at 0 °C (273 K). It works reversibly at every stage, giving out its heat to the room. The specific heat of water is 4200 J/(kg K) and the latent heat of fusion is 3.36 × 10⁵ J/kg. What is the least work it must be given? New
High School (11–12) · Heat Engines, the Second Law and Entropy
JEE Advanced, Olympiad
StemPy LabStemPy Lab
Advanced
Four statements about equivalent masses and titrations are given. Atomic masses: H 1.0, O 16.0, P 31.0, K 39.0, Mn 55.0. The molar mass of KMnO₄ is 158.0 g mol⁻¹. One or more statements are correct. Which are correct? New
High School (11–12) · The Mole Concept
Olympiad
StemPy LabStemPy Lab
Advanced
Below are four claims: two are about a linear equation in integers and two are about prime and composite numbers. Choose all the claims that are correct. New
High School (11–12) · Rational and Irrational Numbers
Olympiad
StemPy LabStemPy Lab
Advanced
An enzyme follows Michaelis-Menten kinetics. A reversible inhibitor is added at a concentration equal to its Ki. Consider the enzyme with a competitive inhibitor and, in a separate experiment, with a pure non-competitive inhibitor (it binds the free enzyme and the enzyme with substrate equally well) at the same concentration. Which of the following statements are correct? One or more options may be correct. New
High School (11–12) · Heredity and Inheritance
Olympiad
StemPy LabStemPy Lab
Advanced
Kavi simulates Gg with Gg for 12 plants and gets 5 with yellow pods. What should Kavi do before calling the 3 to 1 rule wrong? New
High School (11–12), High School (9–10), Undergraduate, General · Biology by Computer, Simulation and Randomness
AP
StemPy LabStemPy Lab
Medium
Which sentence is the best limit for a report on 20 winter days in one hill town? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
StemPy LabStemPy Lab
Easy
An ideal monatomic gas (γ = 5/3) is taken round the cycle shown in the figure. From state A, at temperature T₀, it expands at constant pressure to twice its volume (state B). It then expands adiabatically until its temperature is T₀ again (state C). Finally it is compressed at constant temperature back to A. Let n be the number of moles. Which of the following statements are correct? New
High School (11–12) · Thermodynamic Processes and Specific Heats of Gases
JEE Advanced
StemPy LabStemPy Lab
Advanced
Four statements about reactions of gases are listed. Gas volumes are measured at the same temperature and pressure, and STP means 273 K and 1 atm with molar volume 22.4 L mol⁻¹. Atomic masses: H 1.0, C 12.0, O 16.0, Ca 40.0. One or more statements are correct. Which are correct? New
High School (11–12) · Chemical Equations
Olympiad
StemPy LabStemPy Lab
Advanced
Four claims about HCF, LCM and numbers that share no factor with a given number are listed. At least one claim is true. Pick every true claim. New
High School (11–12) · Divisibility, HCF and LCM
Olympiad
StemPy LabStemPy Lab
Advanced
Three linked genes A, B and C are mapped by test crosses. The percentage of recombinant progeny is 10% for the pair A and B, 15% for B and C, and 23% for A and C. The order of the genes is not given. Which of the following statements are correct? One or more options may be correct. New
High School (11–12) · Heredity and Inheritance
Olympiad
StemPy LabStemPy Lab
Advanced
Why does a simulation of crosses call `random.seed(5)` at the top? New
High School (11–12), High School (9–10), Undergraduate, General · Biology by Computer, Simulation and Randomness
PCAP (Python Institute)
StemPy LabStemPy Lab
Easy
A student writes: \"The mean highest temperature in the hill town was 12 °C, so every day was about 12 °C.\" What is wrong? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
StemPy LabStemPy Lab
Medium
An engine runs an ideal gas round an Otto-type cycle: an adiabatic compression, heating at constant volume, an adiabatic expansion, and cooling at constant volume. The lowest temperature in the cycle (at the start of the compression) is 300 K, and the highest (at the end of the heating) is 1200 K. The compression ratio is chosen so that the engine does the most work per cycle. What is then the efficiency of the cycle? New
High School (11–12) · Heat Engines, the Second Law and Entropy
JEE Advanced
StemPy LabStemPy Lab
Advanced
Four statements about aqueous solutions are given. Take the molar masses to be urea 60.0 g mol⁻¹, glucose 180.0 g mol⁻¹ and water 18.0 g mol⁻¹. One or more of them are correct. Which are correct? New
High School (11–12) · Stoichiometry and Concentration
Olympiad
StemPy LabStemPy Lab
Advanced
Here n stands for any integer, and remainders are taken after division with a positive divisor. One or more of the statements below are true. Which are they? New
High School (11–12) · Exponents and Radicals
Olympiad
StemPy LabStemPy Lab
Advanced
In a large population that mates at random, 9% of people show an autosomal recessive trait. The population is in Hardy-Weinberg equilibrium. Which of the following statements are correct? One or more options may be correct. New
High School (11–12) · Evolution
Olympiad
StemPy LabStemPy Lab
Advanced
A plant is AAIi. What different gametes does this print? `from itertools import product; print(sorted(set("".join(p) for p in product("AA", "Ii"))))` New
High School (11–12), High School (9–10), Undergraduate, General · Biology by Computer, Simulation and Randomness
PCAP (Python Institute)
StemPy LabStemPy Lab
Medium
In the hill town, the 3 snowy days had a mean highest temperature of 8.7 °C, and the other 17 days 12.5 °C. What may a report say? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
AP, IB
StemPy LabStemPy Lab
Medium
One mole of an ideal monatomic gas is at 300 K and 1.0 × 10⁵ Pa in a thermally insulated cylinder. The pressure outside the piston is suddenly raised to 2.0 × 10⁵ Pa and then kept steady, so the gas is squeezed quickly until it is again at rest, at 2.0 × 10⁵ Pa. Ignore friction and the mass of the piston, and take R = 8.314 J/(mol K). Which of the following statements are correct? New
High School (11–12) · Laws of Thermodynamics
JEE Advanced
StemPy LabStemPy Lab
Advanced
Two aqueous solutions of glucose (C₆H₁₂O₆, molar mass 180 g mol⁻¹) have molalities 1.00 mol kg⁻¹ and 3.00 mol kg⁻¹. Equal masses, 1000 g of each, are mixed. What is the molality of the mixture? New
High School (11–12) · Stoichiometry and Concentration
Olympiad
StemPy LabStemPy Lab
Advanced
Add the numbers 1¹, 2², 3³ and so on, where the kth term is k raised to the power k, up to 2026²⁰²⁶. What is the units digit of this sum? New
High School (11–12) · Exponents and Radicals
Olympiad
StemPy LabStemPy Lab
Advanced
Haemophilia A is an X-linked recessive condition. A healthy woman has a healthy father and a healthy mother, and her mother's father had haemophilia. She marries a healthy man. They have two children, and the sex of each child is not known in advance. What is the probability that at least one of the two children has haemophilia? New
High School (11–12) · Heredity and Inheritance
Olympiad
StemPy LabStemPy Lab
Advanced
How many gametes does this list for AaIi? `from itertools import product; print(len(list(product("Aa", "Ii"))))` New
High School (11–12), High School (9–10), Undergraduate, General · Biology by Computer, Simulation and Randomness
StemPy LabStemPy Lab
Easy
The chance of a snowy day is 0.15. If each day's weather did not depend on the day before, what would be the chance of two snowy days in a row? New
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
AP, IB
StemPy LabStemPy Lab
Hard
An ideal monatomic gas expands slowly along a path on which PV^(1.2) stays constant. Which statement is correct for this expansion? New
High School (11–12) · Thermodynamic Processes and Specific Heats of Gases
JEE Advanced
StemPy LabStemPy Lab
Advanced
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