There are two Vernier calipers both of which have `1cm` divided into `10` equal divisions on the main scale. The vernier scale of the calipers `( c_(1))` has `10` equal divisions that correspond to `9` main scale divisions. The Vernier scale of the other calipers `( C_(2))` has `10` equal divisions tgat correspond to `11` main scale divisions. the reading of the two calipers are shown in the figure. the measured values (in cm) by calipers `C_(1) and C_(2)` respectively, are

Options

A. 2.87 and 2.87
B. 2.87 and 2.83
C. 2.85 and 2.82
D. 2.87 and 2.86

Answer

b

Explanation

For `C_(1)`
Least count `=1-9/10 =0.1 mm`
Reading `=2.8+0.1xx7/10=2.87 mm`
For `C_(2)`
Least count `=|1-11/10|=0.1 mm`
Reading `=2.8+0.1/10xx ("3rd division from last division of vernier scale")`
`=2.83 cm`