Question : Lactometers (used to determine the purity of a sample of milk) and hydrometers (used to determine the density of liquids) are based on the ______ principle.
Option 1: Archimedes
Option 2: Special Relativity
Option 3: Relativity
Option 4: Uncertainty
Correct Answer: Archimedes
Solution : The correct option is Archimedes.
Lactometers and hydrometers are both based on Archimedes' principle. This principle states that an object submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid it displaces. In the case of lactometers and hydrometers, they float in the liquid being tested, and their buoyancy is affected by the density of the liquid, allowing for measurements related to purity (as in the case of lactometers for milk) or density (as in the case of hydrometers for various liquids).
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Question : The purity of a metal can be determined with the help of
Option 1: Pascal's law
Option 2: Boyle's law
Option 3: Archimedes Principle
Option 4: Conservation of mass principle
Question : Which of the following liquids has the least density?
Option 1: Freshwater
Option 2: Saltwater
Option 3: Petrol
Option 4: Mercury
Question : A canister holds 36 litres of a mixture of milk and water in a ratio of 3 : 1. 15 litres of milk is added to the canister. The new ratio of the mixture is:
Option 1: 12 : 5
Option 2: 14 : 3
Option 3: 7 : 4
Option 4: 9 : 4
Question : If 60 litres of a milk solution has 40% milk in it, then how much milk should be added to make the milk 60% in the solution?
Option 1: 30 litres
Option 2: 25 litres
Option 3: 20 litres
Option 4: 35 litres
Question : A milkman mixes water with milk and sells the mixture at the cost price of pure milk. The volume of water in litres to be mixed with each litre of milk to get a 25% profit is:
Option 1: $\frac{1}{4}$ litre
Option 2: $\frac{1}{5}$ litre
Option 3: $1\frac{1}{4}$ litre
Option 4: Cannot be calculated without knowing the cost price of milk.
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