In a vernier Calliper 1 MSD = 0.1 cm and the Least Count is 0.05mm. If the reading on Vernier calliper while taking measurement is 12.8mm , then the Vernier coinciding division (VCD) is ?
Answers
Given,
1 Main Scale division (1 MSD) = 0.1cm
Least count(L.C) = 0.05mm
Reading on Vernier Calliper = 12.8mm
Now, we know =>
Vernier Scale reading= Main Scale division reading + (L.C)×(V.S.D)
where, VSR = Vernier Scale Division and
LC = Least Count.
So we get=>
12.8 =( Main Scale Reading)×1mm + 0.05×VSD
Now, here main scale reading = 12
So we get->
=>12.8 = 12 + 0.05×VSD
=>0.8 = 0.05×VSD
=> = VSD
=>VSD = 16
Hence the Vernier Scale decision or Vernier coniciding divisions is 16.
ANSWER:------------
count(L.C)
= 0.05mm
Reading on Vernier Calliper = 12.8mm
we know =>Vernier Scale reading=
division reading + (L.C)×(V.S.D) VSR = Vernier Scale Division andLC = Least Count
we get=>12.8 =
( Main Reading)×1mm +
0.05×VSR
12So we get-
=>12.8 = 12 + 0.05×VSD=>0.8 =
0.05×VSD
=> 0.80.05
{0.8}{0.05}
0.050.8 =
VSD=>VSD =
16
Vernier coniciding divisions is 16.
Hence proved:)
hope it helps:-
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