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4650 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
A solution at 298 K contains benzoic acid at 0.10 mol L⁻¹ (Ka = 6.4 × 10⁻⁵) and acetic acid at 0.20 mol L⁻¹ (Ka = 1.8 × 10⁻⁵). Both acids are weak, and each is only slightly ionised. What is the pH of the solution? New
High School (11–12) · Acids and Bases
JEE Advanced
StemPy LabStemPy Lab
Advanced
Each term of the infinite series below is the square of the sum of a power of 12 and the same power of 13. What is the sum of the series Σ_(n=1)^∞ (1/2ⁿ + 1/3ⁿ)² = (12 + 13)² + (14 + 19)² + (18 + 1/27)² + … New
High School (11–12) · Sequences and Series
JEE Advanced
StemPy LabStemPy Lab
Advanced
Three genes, A, B and C, control a polygenic trait in a plant, and each dominant allele adds the same amount to the phenotype. A plant AaBbCc is crossed with a plant aabbcc. How many phenotypic classes appear among the offspring, and what is the largest fraction of the offspring found in any one class? New
High School (11–12) · Heredity and Inheritance
NEET
StemPy LabStemPy Lab
Hard
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
At 298 K, the standard Gibbs energies of formation are NO₂(g) +51.3 kJ mol⁻¹ and N₂O₄(g) +97.9 kJ mol⁻¹. A vessel at 298 K holds N₂O₄ at 0.90 bar and NO₂ at 0.15 bar. For N₂O₄(g) ⇌ 2 NO₂(g) in this mixture, which statement is correct? Take R = 8.314 J K⁻¹ mol⁻¹. New
High School (11–12) · Chemical Reactions
JEE Advanced
StemPy LabStemPy Lab
Advanced
Find the sum 2 · 1² + 3 · 2² + 4 · 3² + … + 21 · 20², where the kth term is (k + 1)k². You may use the standard formulas for Σ k² and Σ k³. New
High School (11–12) · Sequences and Series
JEE Advanced
StemPy LabStemPy Lab
Advanced
Two statements about chromosomal disorders are given below. Statement I: A person with Klinefelter's syndrome has the karyotype 47, XXY and is a fertile female. Statement II: Down's syndrome was first described by Langdon Down in 1866. New
High School (11–12) · Heredity and Inheritance
NEET
StemPy LabStemPy Lab
Medium
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
A solution at 298 K contains 0.010 mol L⁻¹ each of Cu²⁺ and Fe²⁺, and 0.30 mol L⁻¹ hydrochloric acid. It is saturated with hydrogen sulfide, so that [H₂S] = 0.10 mol L⁻¹. For H₂S, K_a1 = 9.1 × 10⁻⁸ and K_a2 = 1.2 × 10⁻¹³. Take Ksp(CuS) = 6.3 × 10⁻³⁶ and Ksp(FeS) = 6.3 × 10⁻¹⁸. Which of the following statements are correct? New
High School (11–12) · Salts and Their Uses
JEE Advanced
StemPy LabStemPy Lab
Advanced
The positive real numbers x and y satisfy x + y = 10, and otherwise they can be chosen freely. Which of the following statements about greatest and least values are true? New
High School (11–12) · Sequences and Series
JEE Advanced
StemPy LabStemPy Lab
Advanced
Match the terms in List-I with their meanings in List-II. List-I (Term) A. Law of dominance B. Law of segregation C. Law of independent assortment D. Test cross List-II (Meaning) I. In a dihybrid, the segregation of one pair of characters is independent of the other pair II. In a dissimilar pair of factors, one member of the pair dominates the other III. An organism with the dominant phenotype is crossed with the recessive parent to find its genotype IV. The two alleles of a pair separate, so a gamete receives only one of them New
High School (11–12) · Heredity and Inheritance
NEET
StemPy LabStemPy Lab
Medium
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
A 20.0 mL sample of 0.10 mol L⁻¹ aqueous ammonia is titrated with 0.10 mol L⁻¹ hydrochloric acid at 298 K. Take pKb(NH₃) = 4.74 and Kw = 1.0 × 10⁻¹⁴, and assume that the volumes add. Which of the following statements are correct? New
High School (11–12) · pH and Neutralisation
JEE Advanced
StemPy LabStemPy Lab
Advanced
The nonzero real numbers a, b and c are three consecutive terms of a geometric progression with common ratio r, and a, 2b and 3c are three consecutive terms of an arithmetic progression. Which of the following statements are true? New
High School (11–12) · Sequences and Series
JEE Advanced
StemPy LabStemPy Lab
Advanced
Phenylketonuria is an inborn error of metabolism, inherited as an autosomal recessive trait, and it is often given as an example of pleiotropy. Which statement explains why it is an example of pleiotropy? New
High School (11–12) · Heredity and Inheritance
NEET
StemPy LabStemPy Lab
Medium
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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