# Fundamentals of Physics Chapter 1 Solutions: Measurement

Halliday Resnick Walker Fundamentals of Physics Solutions for Chapter 1 ‘Measurement’ are ideal study material for CBSE, JEE and NEET preparation. will explain to you how things are measured. This chapter of Resnick Halliday Physics Solutions will give you an insight into various topics like the SI system, significant figures, decimal places, length, time, mass, density, etc. After reading the chapter, you will be able to change units for length, area, and volume by chain-link conversion, name the most frequently used prefixes for SI units, identify the base quantities in the SI system, relate density to mass and volume.

Physics Solutions for Resnick Halliday Walker Volume 1 Chapter 1 ‘Measurement’ contains one exercise which is divided into 4 modules and has a total of 60 questions. The chapter has questions based on time, measuring lengths, mass, density, and volume of various objects. The exercise questions provide various units for measurement such as fortnight to measure time, the line to measure the length of an object, and furlong, rods, and chains to measure distance. These questions are essential for your competitive exams, like JEE and Neet. You will find many questions like these in JEE Mains past papers.

Instasolv provides chapter-wise Resnick Halliday Physics Solutions. Our team of experts has curated the best possible answers for your IIT JEE exam preparation. These Solutions are easy to comprehend and have been explained step by step, which will save you a lot of time. Practising Instasolv’s Solutions will enhance your knowledge about the concepts for JEE Physics preparation.

## Important Topics for Resnick Halliday & Walker Fundamentals of Physics Volume 1 Solutions Chapter 1

**The International System of Units:** The seven base quantities typically form the basis of the International System of Units, which is commonly abbreviated as SI units. The three base quantities are length, mass, and time.

**Changing Units**: When you usually need to change the units in which a physical quantity is expressed, you do it by a method called chain-link conversion. In this method, you need to multiply the original measurement by a conversion factor (a ratio of units that is equal to unity). By using this method, you can do standard conversions like changing minutes into seconds.

**Length:** It is the straight-line distance between two points whose SI unit is the meter.

**Meter:** The meter is defined as the length of the route covered by light in a vacuum during a time period of 1/299 792 458 of a second.

- the speed of light c = 299 792 458 m/s

**Some Approximate Lengths in meters:**

- Radius of earth= 6 x 10
^{6} - The radius of a hydrogen atom 5 x 10
^{-11} - The radius of a proton 1 x 10
^{-15} **Time:**Time in physics is usually determined by the measurement and any phenomena in the world that repeats itself is a possible time standard. It typically has two aspects—one for civil and the other for some scientific purposes. The civil aspect of time is when you want to know the time of day, and for the scientific aspect, you ask how long an event lasts.

**One second**: It is the time taken by 9 192 631 770 oscillations of the light emitted by a caesium-133 atom.

**Some Approximate Time Intervals in seconds:**

- A lifetime of the proton (predicted)=3 x 10
^{40} - Age of Universe=5 x 10
^{17} - Length of a Day=9 x 10
^{4}

**Mass: **It is the most fundamental property of matter. Measurement of the amount of matter in a body is called mass. The SI unit of mass is the kilogram (kg)

**The Kilogram: **It is defined in terms of a platinum-iridium standard mass, which is kept near Paris. For measurements on an atomic scale, a carbon-12 atom is usually used. 1 atomic mass unit =1.660 538 86×10^{-27 }kg

**Some Approximate Masses: (mass in kg)**

- Universe = 1 x 10
^{53} - Galaxy= 2 x 10
^{41} - Sun= 2 x 10
^{30} - Moon= 7 x 10
^{22} - Proton=2 x 10
^{-27} - Electron=9 x 10-31

**Density: **The density of a material is defined as the mass per unit volume. The density of a material ⍴ = mass/volume

- Densities are usually listed in kilograms per cubic meter or grams per cubic centimeter.
- The density of water (1.00 gram per cubic centimeter) is typically used as a comparison.
- Platinum’s density is about 21 times that of water.
**Liquefaction:**It is the sinking of a heavy object during an earthquake which causes the soil grains to slide over one another as they experience little friction. In the ground, liquefaction can be predicted in the form of void ratio ‘e’

e = V_{voids}/V_{grains}

Where, V_{grains} = total volume of the sand grains and V_{voids} = total volume between the grains

### Exercise Discussion of Resnick Halliday & Walker Fundamentals of Physics Volume 1 Solutions Chapter 1: Measurement

**Module 1: Measuring Things Including Lengths **

The first module contains 9 questions that are based upon finding the surface area, volume and length of various objects. Different units of measurement are included in the questions such as line, point, picas, furlong, rods, chains, medios, cahizes, and Smoots.

**Module 2: Time **

This module also contains 9 questions. You will be solving questions related to time-zone boundaries, French Time measurement rules, microcentury, fortnight, and uncertainty of atomic clocks. In one question, you are to find the radius of the earth based on the given information.

**Module 3: Mass **

This module contains 11 questions that would be extremely helpful in your JEE Physics preparations. There are questions where you need to calculate the mass flow rate, density, area, and volume. You will also learn how to calculate the rate of mass change.

**Module 4: Additional Problems **

This exercise module of Resnick Halliday Chapter 1 contains 28 miscellaneous questions. There are questions based on light-years, corn-hog ratio, and conversion of one SI unit to another.

### Why use Resnick Halliday & Walker Fundamentals of PhysicsVolume 1 Solutions Chapter 1: Measurement by Instasolv?

- All the questions have been solved step by step by our experts who hold years of quality experience.
- Fundamentals of Physics by Halliday Resnick and Walker for IIT JEE are quite easy to comprehend and would clear all your doubts related to the Measurement concept of Physics.
- The experts have followed tricks and shortcuts in some of the answers. These tricks can help you in your competitive exams like JEE Mains and JEE Advanced.