Answer
384.6k+ views
Hint :In this question, we need to determine the reading of the micrometer screw gauge such that the pitch is 0.5 millimeters. First, we need to calculate the least count of the screw gauge. For this, we will recall the terms involved while measurements using a micrometer screw gauge.
Complete Step By Step Answer:
A micrometer screw gauge is used for measuring very small distances. It is used to measure small thickness of papers, wires and other minute items. A micrometer screw gauge has two scales – the linear scale and the circular scale.
The pitch of the screw gauge is calculated by dividing the distance moved by the linear scale in one turn of the circular scale by the number of divisions of the circular scale. In this question, the pitch is directly given to use.
Given,
The pitch of the micrometer screw gauge is $ 0.5mm $
Thus the least count of the screw gauge is given by
$
L.C = \dfrac{{pitch}}{\text{no.of circular divisions}} \\
= \dfrac{{0.5mm}}{{50}} \\
= 0.01mm \\
$
Now we see that the linear scale reading is $ 4.5mm $ and the circular scale has turned $ 1 $ divisions
Hence the final reading can be calculated by the formula
$ M = L.S.D + C.S.D \times L.C $
We put all the values here and then get the reading
$
M = 4.5mm + 1 \times 0.01mm \\
= 4.51mm \\
$
Hence option (B) is correct.
Note :
Vernier calipers may also be used to measure small distances. However a micrometer screw gauge can measure even smaller distances compared to the Vernier Calipers. Students should also know how to calculate the pitch of the micrometer screw gauge. Also the students should make sure there is no zero error. If any zero error is present it should be subtracted from the final reading.
Complete Step By Step Answer:
A micrometer screw gauge is used for measuring very small distances. It is used to measure small thickness of papers, wires and other minute items. A micrometer screw gauge has two scales – the linear scale and the circular scale.
The pitch of the screw gauge is calculated by dividing the distance moved by the linear scale in one turn of the circular scale by the number of divisions of the circular scale. In this question, the pitch is directly given to use.
Given,
The pitch of the micrometer screw gauge is $ 0.5mm $
Thus the least count of the screw gauge is given by
$
L.C = \dfrac{{pitch}}{\text{no.of circular divisions}} \\
= \dfrac{{0.5mm}}{{50}} \\
= 0.01mm \\
$
Now we see that the linear scale reading is $ 4.5mm $ and the circular scale has turned $ 1 $ divisions
Hence the final reading can be calculated by the formula
$ M = L.S.D + C.S.D \times L.C $
We put all the values here and then get the reading
$
M = 4.5mm + 1 \times 0.01mm \\
= 4.51mm \\
$
Hence option (B) is correct.
Note :
Vernier calipers may also be used to measure small distances. However a micrometer screw gauge can measure even smaller distances compared to the Vernier Calipers. Students should also know how to calculate the pitch of the micrometer screw gauge. Also the students should make sure there is no zero error. If any zero error is present it should be subtracted from the final reading.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)