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.

A vernier calliper has 10 divisions on vernier scale coinciding with 9

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» Answer :(a) MSR =95 mm; VSR =7 (b) `100 PM 1`mm