
A spring balance measures the weight of an object in air to be . It shows a reading of when the object is completely immersed in water. If the value of acceleration due to gravity is , the volume of the object is
Answer
503.4k+ views
Hint: We know that when an object is immersed in a liquid, it experiences an upward thrust or force called the buoyant force. This property or nature of liquids is called buoyancy. This is caused due to the difference in the pressure above and inside liquid.
Formula used:
Complete step-by-step answer:
Here, it is given that the spring balance measures a force of and the same when immersed in the water shows a reading
Then the difference in the forces gives the force due to buoyancy
From Archimedes principle, we know that the buoyant force is equal to the weight of the fluid displaced.
But we need to find the volume of the object. We know that density is a constant and it is the ratio between the mass and volume of the substance. Here since the liquid is water, we know that the density of the water is and if is the volume of the water displaced, we can write the mass of the water displaced as then the weight of the water displace is given as .
Then from Archimedes principle
.
Thus the volume of water displaced is
Hence the answer is
So, the correct answer is “Option D”.
Additional Information: Archimedes principle and buoyancy are two important properties which are often used in fluid mechanics.
Buoyancy has wide applications like the designing of submarines, aeroplanes. It is also used by birds and fish to move through the water and air respectively.
Note: Mass is a property of the substance, whereas weight is the force due to gravity acting on the body with some mass. Also, Archimedes principle and buoyancy are properties of liquids and can be extended to fluids as well.
Formula used:
Complete step-by-step answer:
Here, it is given that the spring balance measures a force of
Then the difference in the forces gives the force due to buoyancy
From Archimedes principle, we know that the buoyant force is equal to the weight of the fluid displaced.
But we need to find the volume of the object. We know that density is a constant and it is the ratio between the mass and volume of the substance. Here since the liquid is water, we know that the density of the water is
Then from Archimedes principle
Thus the volume of water displaced is
Hence the answer is
So, the correct answer is “Option D”.
Additional Information: Archimedes principle and buoyancy are two important properties which are often used in fluid mechanics.
Buoyancy has wide applications like the designing of submarines, aeroplanes. It is also used by birds and fish to move through the water and air respectively.
Note: Mass is a property of the substance, whereas weight is the force due to gravity acting on the body with some mass. Also, Archimedes principle and buoyancy are properties of liquids and can be extended to fluids as well.
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

How much is 23 kg in pounds class 11 chemistry CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

What is the technique used to separate the components class 11 chemistry CBSE
