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4910 quizzes
A steel wire is fixed between two rigid supports 0.80 m apart. It is stretched so that its strain is 1.6 × 10⁻³. Steel has a Young's modulus of 2.0 × 10¹¹ Pa and a density of 8000 kg/m³. What is the fundamental frequency of the wire? Give the answer in Hz. New
High School (11–12) · Superposition and Standing Waves
JEE Advanced, JEE Main
StemPy LabStemPy Lab
Hard
A sample of 15.0 mL of a gaseous hydrocarbon is mixed with 120.0 mL of oxygen and burnt completely. After cooling to room temperature, the gas has a volume of 97.5 mL. After it is passed through aqueous KOH, the volume falls to 52.5 mL. All volumes are measured at the same temperature and pressure. What is the formula of the hydrocarbon? New
High School (11–12) · Alkanes
NEET, JEE Main
StemPy LabStemPy Lab
Hard
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) · Biomolecules
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?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
StemPy LabStemPy Lab
Easy
An organ pipe has two neighbouring resonant frequencies of 500 Hz and 700 Hz, and no resonance between them. The speed of sound is 340 m/s. Neglect the end correction. How long is the pipe? Give the answer in cm. New
High School (11–12) · Sound Waves and Hearing
JEE Advanced, JEE Main
StemPy LabStemPy Lab
Hard
Two statements about the preparation of alkenes by elimination are given below. Statement I: Alkyl halides, heated with aqueous potassium hydroxide, lose a molecule of hydrogen halide and give alkenes as the main products. Statement II: In the dehydration of ethanol by concentrated sulphuric acid, the hydrogen atom lost with the OH group comes from the same carbon that carries the OH group. New
High School (11–12) · Alkenes and Alkynes
NEET
StemPy LabStemPy Lab
Hard
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) · Principles of Inheritance and Variation
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?
Middle Stage (6–8), High School (9–10), High School (11–12), Undergraduate, General · Averages: Mean, Median and Mode
StemPy LabStemPy Lab
Medium
A source of sound of frequency 400 Hz moves at 20 m/s straight towards a large wall. A listener stands at rest behind the source, on the same line, so the source moves away from the listener. The speed of sound is 340 m/s. Which of the following statements are correct? New
High School (11–12) · Doppler Effect
JEE Advanced
StemPy LabStemPy Lab
Advanced
Assertion (A): When chlorobenzene and benzene are nitrated side by side under the same conditions, chlorobenzene reacts more slowly, so the chlorine atom deactivates the ring towards electrophilic substitution. Reason (R): In chlorobenzene, resonance with the lone pairs of chlorine puts more electron density at the ortho and para positions than at the meta position, so an incoming electrophile goes mainly to the ortho and para positions. New
High School (11–12) · Aromatic Hydrocarbons
NEET
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?
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
A standing wave on a string is y = (6.0 mm) sin(10π x) cos(200π t), with x in metres and t in seconds. Which of the following statements are correct? New
High School (11–12) · Superposition and Standing Waves
JEE Advanced
StemPy LabStemPy Lab
Advanced
In each substitution reaction of benzene below, an acid or a Lewis acid first makes the electrophile that attacks the ring. Match each reagent mixture with that electrophile. List-I (Reagents) A. Concentrated HNO₃ and concentrated H₂SO₄ B. Cl₂ and anhydrous FeCl₃, in the dark C. CH₃Cl and anhydrous AlCl₃ D. CH₃COCl and anhydrous AlCl₃ List-II (Electrophile) I. CH₃⁺ II. CH₃CO⁺ III. NO₂⁺ IV. Cl⁺ New
High School (11–12) · Aromatic Hydrocarbons
NEET
StemPy LabStemPy Lab
Hard
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) · Principles of Inheritance and Variation
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?
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
A string 1.2 m long, with a linear mass density of 5.0 g/m, is fixed at both ends under a tension of 72 N. It vibrates in its third harmonic, and the amplitude at each antinode is 5.0 mm. What is the total energy of the vibration? New
High School (11–12) · Superposition and Standing Waves
JEE Advanced, Olympiad
StemPy LabStemPy Lab
Advanced
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