Question

What is the reading of the micrometer screw gauge shown in figure.

A. $2.30\,mm$
B. $2.29\,mm$
C. $2.36\,mm$
D. $2.41\,mm$

Answer 1

Hint:From the given question we have to find the reading of the micrometer screw gauge. For this reading we have a diagram of screw gauge using this diagram and micrometer of screw gauge we are going to find the reading of micrometer screw gauge.

Complete step by step answer:
Screw gauge works on a principle, by this principle it helps to convert the larger ones into smaller ones by using the rotation of screw. This one also amplifies the smaller dimensions and converts them into the larger ones by linear movement in the main scale.

By using the above theory we are calculating the reading of the micrometer screw gauge. In generally micrometer screw gauge is pitch that pitch in this diagram is,
Pitch= $1\,mm$
And number of divisions is $100$
And least count, $L.C = 0.01\,mm$
By using above values we are going to calculate the final reading of screw gauge
That means, Final reading= main scale reading $ + $ L.C ( $30$ division)
Here we have taken division $30$,
Final reading= $2 + 0.01\left( {30} \right) = 2.30\,mm$
That means the final reading of the micrometer screw gauge is $2.30\,mm$.

Hence, the correct option is A.

Note:We have proved the reading of micrometers by using the screw gauge diagram and its principle and by least count and division in the diagram of screw gauge. For this calculation we have used the given final readings in the diagram and also the least count of the number of divisions.