Physics · Units, Dimensions & Error Analysis

JEE Main 2025 — 24 January, Morning Shift — Question 68

The least count of a screw guage is 0.01 mm . If the pitch is increased by 75%75 \% and number of divisions on the circular scale is reduced by 50%50 \%, the new least count will be \qquad ×10−3 mm\times 10^{-3} \mathrm{~mm}.

Answer: 35

Numerical answer — enter this value.

Step-by-step solution

Given least count of Screw Gauge =0.01 mm=0.01 \mathrm{~mm}

L.C =( pitch ) No. of circular turn =PN=0.01 mm=\frac{(\text { pitch })}{\text { No. of circular turn }}=\frac{\mathrm{P}}{\mathrm{N}}=0.01 \mathrm{~mm}

New pitch =P(1+0.75)N(1−0.5)=PN[1.750.5]=\frac{\mathrm{P}(1+0.75)}{\mathrm{N}(1-0.5)}=\frac{\mathrm{P}}{\mathrm{N}}\left[\frac{1.75}{0.5}\right]

=(0.01)3.5=(0.01) 3.5

=0.035 mm=0.035 \mathrm{~mm}

=35×10−3 mm=35 \times 10^{-3} \mathrm{~mm}

∴\therefore Ans. is 35

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Physics
Chapter
Units, Dimensions & Error Analysis
Topic
Vernier Calipers and Screw Gauge
The least count of a screw guage is 0.01 mm . If the pitch is… | JEE Main 2025 PYQ with Solution · DhiX AI