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In a vernier callipers 15 vernier scale ...

In a vernier callipers 15 vernier scale divisions correspond to 14 main scale divisions and one main scale division is equal to 1.5 mm. An object is held scale division is equal to 1.5 mm. An object is held between the external jaw of the given vernier caliipers. If the zeroth division of the vernier scale is to the left of the 20^(th) divison of the main scale, find teh measurement of the object, if teh 14th division of the vernier scale coincides with the main scale division.

Text Solution

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Given, 1 M.S.D. = M.S.D.= 1.5mm
Number of V.S.D,s = 15 rArr N = 15
L.C. of the vernier callipers,
L.C. = `(1M.S.D.)/(N)= (1.5mm)/(15)`
rArr L.C.= 0.1 mm
Given M.S.R =19 `xx` 1.5 mm = 28.5 mm
Given vernier coincidence, V.C. = 14
=Measurement of length of givne object = M.S.R.+ V.C.`xx` L.C. = 28.5 mm + 14 `xx`0.1 mm
28.5 mm + 1.4 mm
29.9 mm = 2.99 cm
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