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To Measure The Thickness Of The Given Sheet Using Screw Gauge - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • To measure the thickness of the given sheet using screw gauge is considered one the most difficult concept.

  • 26 Questions around this concept.

Solve by difficulty

A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a sheet. If the main scale reading is 2 mm and the thimble scale reading is 25, what is the thickness of the sheet in mm?

A screw gauge with a pitch of 0.5 \mathrm{~mm}  and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of Aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the  45^{\text {th }} division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet if the main scale reading is 0.5 \mathrm{~mm} and the 25^{\text {th }} division coincides with the main scale line?

An experiment is conducted to measure the thickness of a thin sheet using a screw gauge. The main scale reading is 2 mm, and the circular scale reading is 25. The pitch of the screw gauge is 0.5 mm, and the least count of the instrument is 0.01 mm. Determine the thickness of the thin sheet.

A screw gauge is commonly used to measure the thickness or diameter of a thin sheet or wire. In an experiment, a thin wire is measured using a screw gauge. The main scale reading is 3 mm, and the 10 divisions on the circular scale coincide with one main scale division. The pitch of the screw gauge is 0.5 mm, and the zero error is −0.02 mm (i.e., the zero of the circular scale is 0.02 mm below the reference line). Calculate the diameter of the wire.

A laboratory experiment involves measuring the thickness of a thin glass sheet using a screw gauge. The main scale reading is 2.5 mm, and the circular scale is divided into 50 divisions. The screw gauge has a pitch of 0.5 mm, and there is a positive zero error of 0.04 mm.

Calculate the actual thickness of the glass sheet.

A laboratory experiment involves measuring the thickness of a thin plastic sheet using a screw gauge. The main scale reading is 1.5 mm, and the circular scale is divided into 50 divisions. The pitch of the screw gauge (p) is 0.2 mm. The screw gauge has a negative zero error of −0.01 mm.

Calculate the actual thickness of the plastic sheet.

A precision laboratory experiment requires measuring the thickness of a very thin film using a screw gauge. The main scale reading is 0.8 mm, and the circular scale is divided into 100 divisions. The pitch of the screw gauge (p) is 0.125 mm. The screw gauge has a negative zero error of −0.03 mm.

Calculate the actual thickness of the thin film.

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A precision experiment requires the measurement of the diameter of a small spherical object using a screw gauge. The main scale reading is 4 mm, and the circular scale reading is 34. The pitch of the screw gauge is 0.2 mm, and the least count of the instrument is 0.005 mm. The object is placed between the screw and the anvil, and the screw is turned until it just touches the object. Determine the diameter of the spherical object.

A laboratory technician needs to measure the thickness of a very thin metal plate using a screw gauge. The main scale reading is 1.5\ mm, and the circular scale reading is 42. The pitch of the screw gauge is 0.25\ mm, and the least count of the instrument is 0.02\ mm. Due to the delicate nature of the plate, it is important to apply very gentle pressure while measuring its thickness. Determine the thickness of the metal plate.

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An experiment is conducted to measure the length of a rod using vernier callipers. The main scale reading is M=5.2\ cm, and the vernier scale reading is 9th division. The least count of the vernier calipers is 0.01\ cm. Calculate the length of the rod.

Concepts Covered - 1

To measure the thickness of the given sheet using screw gauge

Aim-

To measure the thickness of the given sheet using a screw gauge

 

Apparatus
Screw gauge, Sheet, half-metre scale and magnifying lens.

 

Theory
1. If we place sheet between plane faces A and B, the edge of the cap lies ahead of Mb division of linear scale. Then, linear scale reading (L.S.R.) =N.
If nth division of circular scale lies over reference line.
Then, circular scale reading (C.S.R) = n x (L.C.)                                                         (Here, L.C. is least count of screw gauge)

Total reading (TR) = LS.R. + C.S.R. =N+n \times(L . C .)

                                                                                                                                    

Procedure -

1.    Note the number of divisions on the circular scale.

2.    Give five complete rotations to the screw.

3.    Note the linear distance moved by the screw.

4.    Find the pitch and L.C. of screw gauge.

5.    Find the zero error and zero correction by moving the screw only in one direction in such a way that studs A and B just touch each other.

6.    Now grip the given sheet in the gap A and B of the screw gauge.

7.    Turn the screw head till the ratchet arrangement gives a click.

8.    Note the readings of linear scale and circular scale and find the observed thickness using the relation, observation thickness = L.S.R. + C.S.R.

9.    Add the zero correction to the observed thickness to find the corrected diameter.

10.  Repeat steps 6 to 9 to find the thickness from four more different places.

 

Calculations -

 

C.S.R = circular scale reading

$
\begin{aligned}
\text { Total reading } & =\text { M.S.R }+ \text { C.S.R } \\
& =M S R+L C \times C S R
\end{aligned}
$
 

L.C = least count

C.S.R = Circular scale reading

 

Precautions
1. To avoid undue pressure; the screw should always be rotated by ratchet R and not by cap K.
2. The screw should move freely without friction.
3. The zero correction, with proper sign should be noted very carefully and added algebraically.
4. For same set of observations, the screw should be moved in the same direction to avoid back-lash error of the screw.

 

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