Q. The least count of a screw gauge is $0.01$ mm. If the pitch is increased by $75\%$ and number of divisions on the circular scale is reduced by $50\%$, the new least count will be ______ $\times10^{-3}$ mm.

Numerical Question

This is a numerical-answer question. The correct answer is shown below.

Explanation

[Solution by Dr. Abubacker] Least count $=\frac{\text{pitch}}{\text{no. of divisions}}$. New value $=\frac{1.75}{0.5}\times0.01=0.035$ mm $=35\times10^{-3}$ mm. Answer: 35.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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