1.

A vernier calliper has 10 divisions on vernier scale coinciding with 9 main scale divisions. It is made of a material whose coefficient of linear expansion is `alpha= 10^(-3).^(@)C^(-1)`. At `0^(@)C` each main scale division = 1mm. An object has a length of 10 cm at a temperature of `0^(@)C` and its material has coefficient of linear expansion equal to `alpha_(1)=1xx10^(-4).^(@)C^(-1)`. The length of this object is measured using the said vernier calliper when room temperature is `50^(@)C`. (a) Find the reading on the main scale and the vernier scale (b) The same object is measured (at `50^(@)C`) using a wooden scale whose least count is 1mm. Write the measured reading using this scale assuming it to be correct at all temperature.

Answer» Correct Answer - (a) MSR =95 mm; VSR =7
(b) `100 pm 1`mm


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