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The diameter of a cylinder is measured u...

The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between `5.10cm and 5.15cm` of the main scale. The Vernier scale has `50` divisions equivalent to `2.45 cm`. The `24^(th)` division of the Vernier scale exactly coincides with one of the main scale divisions. the diameter of the cylinder is

A

`5.112 cm`

B

`5.124 cm`

C

`5.136 cm`

D

`5.148 cm`

Text Solution

Verified by Experts

The correct Answer is:
B
Main scale division (s) `= . 0.5 cm`
Vernier scale divisions `(v) = ( 49)/( 1000) = 0.049`
Least count `= .05 - . 049 = .001 cm`
Diameter : `5.10 + 24 xx . 001 = 5.124 cm`
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