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.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.