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The internal and external diameters of a...

The internal and external diameters of a hollow cylinder are measured with the help of a Vernier calipers . Their values are `4.23 +- 0.01 cm and 3.87 +- 0.01 cm`, respectively . The thickness of the wall of the cylinder is

A

`(0.34 +- 0.02)cm`

B

`(0.17 +- 0.02)cm`

C

`(0.17 +- 0.01)cm`

D

`(0.34 +- 0.01)cm`

Text Solution

Verified by Experts

The correct Answer is:
C

`D = (4.23 +- 0.01)cm`
`d = (3.89 +- 0.01)cm`
`Delta t =(D - d)2 = [(4.23 +- 0.01) - (3.89 +- 0.01)//2`
`= [(4.23 - 3.89 +- (0.01 + 0.01)//2`
`= (0.34 +- 0.02 )]//2cm = (0.17 +- 0.01) cm`
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