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physics Physics For High Schools (KS4)
 
Solved problems for the chapter:
 

Length Measurement, Units and Measuring Devices

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Detailed solution steps are available at:
 
https://en.openprof.com/wb/chapter:length_measurement%2C_units_and_measuring_devices/3468/


Example 1.

Which measuring devices are most suitable for determining the length of a swimming pool and the thickness of aluminium foil?


 length of swimming poolthickness of aluminum foil
Atape measureruler
Brulermeasuring cylinder
Crulermicrometer screw gauge
Dtape measuremicrometer screw gauge
    
Example 2.

Which of the following quantities can be measured with a micrometer screw gauge?

  • time

  • distance

  • pressure

  • volume

    
3.

What is a micrometer screw gauge used to measure?

  • very small volumes

  • very small currents

  • very small lengths

  • very small times

    
4.

The textbook below has a total of 400 sheets.




If the total thickness of the sheets is , calculate the average thickness of one sheet of the book.

    
5.

The figure below shows a wooden rod alongside a ruler.




What is the length of the rod?





    
6.

Which of the following can be measured directly using a micrometer screw gauge?

  • the mass of a cardboard paper

  • the volume of a cardboard paper

  • the area of a cardboard paper

  • the thickness of a cardboard paper

    
7.

For which of the following is a micrometer screw gauge suitable?

  • measuring the length of a swimming pool which is known to be about

  • measuring the breadth of a table which is known to be about

  • measuring the diameter of a ball which is known to be about

  • measuring the distance of an athlete which is known to be about

   
8.

The length of a thread is measured with a ruler as shown below.




When the thread is wound closely around a rod it goes round four times. What is the distance once round the rod?





    

9.

The diagram below shows four identical red balls placed between two wooden blocks on a ruler.




What is the diameter of one ball?





    
10.

Which of the following lists places units of length in increasing order of magnitude (size)?





    
11.

A student uses a ruler to measure the length of a piece of wire as shown below.




What is the length of the wire?

    
12.

The figure below shows an enlarged drawing of a metre rule which is being used to measure the length of a small feather.




What is the length of the feather?





    
13.

The figure below shows how a student tries to measure the height of a wooden slab.




With his eye at the position shown, the student's measurement of the height of the slab is .

Suggest two reasons why the student's measurement is inaccurate.

    
14.

which instrument is most suitable to measure for measuring the thickness of a single sheet of cardboard paper?

  • measuring tape

  • ruler

  • micrometer screw gauge

  • metre rule

    
15.

Tom is taking some measurements. Which of the following measurements is taken directly using a metre rule?





    
16.

For which of the following measurements would a micrometer screw gauge be most suitable?

  • diameter of an electron

  • length of a room

  • length of a book

  • diameter of a wire

    
17.

A student uses a metre rule to measure the length of a stick. Which measurement is shown to the nearest millimetre?





    
18.

The figure below shows a measuring device.




For which of the following measurements is the figure suitable?

  • distance between two houses on opposite sides of a highway

  • thickness of a pencil

  • length of a swimming pool

  • diameter of a cylindrical trash can

    

19.

A micrometer screw gauge reads when the jaws are fully closed. If it reads when measuring the thickness of a paper, what is the thickness of the paper?





    
20.

A tourist traveled on foot, by train and by bicycle. How many kilometers did he travel?

    
21.

A pool is long. How many pool lengths must a swimmer swim to cover a total distance of ?

    
22.

The parking lot before a new store is to be paved with rectangular pavers of length and width . How many pavers will be needed if the parking lot is long and wide?

    
23.

The length of a swimming pool is . Name a suitable piece of equipment that could be used to measure the length of the pool.

    
24.

A building has a ground floor, 5 floors, and 2 basement floors. Each floor is 2.7 meters high. For zero height, choose the floor on the ground floor.

  • Calculate the floor height of the top floor.

  • What is the height (or depth) of the floor in the lower basement?

    
25.

A basketball court has a flat ceiling. An observer, standing on the parquet floor under the basket, has a ceiling 9.5 meters above his head. How many meters above the head of the same observer will the ceiling be when he climbs to the podium which is 2.3 meters higher than the parquet?

    
26.

The top of a Hotel is located at an altitude of 1853 metres. A skier descends a height of 253 metres from the top to the base of the Hotel. At what height is the base of the hotel?

    
27.

Convert:


 

    
28.

Convert:


 

    

29.

Convert:


 

    
30.

Convert:


 

    
31.

Convert:


 

    
32.

Convert:


 

    
33.

Convert:


 

    
34.

Convert and round the result to two decimal places:


 

    
35.

Using an appropriate prefix, express the number below without an exponent:


     
36.

Convert and appropriately express the result in a scientific notation.


 

    
37.

Replace the multiplying factor with the appropriate prefix in the value below:


     
38.

Use the appropriate prefix instead of the multiplying factor in the value below:


     

39.

Replace the multiplying factor with the appropriate prefix in the value below:


     
40.

Convert and appropriately express the result in a scientific notation.


 

    
41.

Convert and express the result in a scientific notation.


 

    
42.

Convert and appropriately express the result in a scientific notation.


 

    
43.

Convert:


 

    
44.

Express the number below in the base unit and give the result in standard form:


     
45.

Replace the prefix with the appropriate multiplying factor in the number below and express in the base unit:


     
46.

Convert and appropriately express the result in a scientific notation.


 

    
47.

Express the value below in the base unit and replace the prefix with the corresponding multiplying factor:


     
48.

Replace the prefix of the base unit with the corresponding multiplying factor in the value below:


     

49.

Write the value below in the base unit and replace the prefix with the corresponding multiplying factor:


     
50.

Express the value below in the base unit and replace the prefix with the corresponding multiplying factor:


     
51.

A sewing meter (tape) 2 m long was evenly stretched by 40 mm. How much does 1 dm really measure on this tape?