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Q.

There are two Vernier calipers both of which have 1 cm divided into 10 equal divisions on the main scale. The Vernier scale of one of the calipers  C1 has 10 equal divisions that correspond to 9 main scale divisions. The venire scale of the other caliper C2  has 10 equal divisions that correspond to 11 main scale divisions. The readings of the two calipers are shown in the figure. The measured values (in cm) by calipers  C1 and C2, respectively, are

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a

2.87 and 2.87

b

2.85 and 2.82

c

2.87 and 2.83

d

2.87 and 2.86

answer is C.

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Detailed Solution

For C1, ​LC=MSD−VSD=1mm−0.9mm=0.1mm=0.01cm     ∵10VSD=9mm​Reading=MSR+LC×n=2.8+0.01×7=2.87cm For C2,​LC=MSD−VSD=1mm−1.1mm=−0.1mm=−0.01cm      ∵10VSD=11mm​Reading=2.8+10−7×0.01=2.83cm
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