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Test Index
Class 11 NEET Physics Physical World, Units and Measurements
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© examsnet.com
Question : 8 of 75
Marks:
+1
,
-0
Consider the diameter of a spherical object being measured with the help of a Vernier callipers. Suppose its 10 Vernier Scale Divisions (V.S.D.) are equal to its 9 Main Scale Divisions (M.S.D.). The least division in the M.S. is 0.1 cm and the zero of V.S. is at
x
=
0.1
cm
x=0.1 \text{cm}
x
=
0.1
cm
when the jaws of Vernier callipers are closed.
If the main scale reading for the diameter is
M
=
5
cm
M=5 \text{cm}
M
=
5
cm
and the number of coinciding vernier division is 8 , the measured diameter after zero error correction, is
[NEET 2025]
4.98 cm
5.00 cm
5.18 cm
5.08 cm
Validate
Solution:
👈: Video Solution
Least count
=
1
MSD
−
1
VSD
\quad\text{Least count}=1 \text{MSD}-1 \text{VSD}
Least count
=
1
MSD
−
1
VSD
  
=
1
MSD
−
9
10
MSD
\;=1 \text{MSD}-\frac{9}{10} \text{MSD}
=
1
MSD
−
10
9
​
MSD
  
=
1
10
MSD
\;=\frac{1}{10} \text{MSD}
=
10
1
​
MSD
  
=
1
10
×
0.1
cm
=
0.01
cm
\;=\frac{1}{10} \times 0.1 \text{cm}=0.01 \text{cm}
=
10
1
​
×
0.1
cm
=
0.01
cm
Zero error
=
+
0.1
cm
\quad\text{Zero error}=+0.1 \text{cm}
Zero error
=
+
0.1
cm
Main scale reading
=
5
cm
\quad\text{Main scale reading}=5 \text{cm}
Main scale reading
=
5
cm
Vernier scale reading
=
8
×
0.01
=
0.08
cm
\quad\text{Vernier scale reading}=8 \times 0.01=0.08 \text{cm}
Vernier scale reading
=
8
×
0.01
=
0.08
cm
Final measurement of diameter
\quad\text{Final measurement of diameter}
Final measurement of diameter
  
=
5
+
0.08
−
0.1
=
4.98
cm
\;=5+0.08-0.1=4.98 \text{cm}
=
5
+
0.08
−
0.1
=
4.98
cm
© examsnet.com
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