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JEE Main 202226 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
26 July
Shift
Morning Shift
Subject
Physics
Chapter
Experimental Physics

JEE Main 2022 · 26 July · Morning Shift · Physics · Experimental Physics

A screw gauge of pitch 0 . 5mm is used to measure the diameter of...

A screw gauge of pitch 0.5mm0 . 5mm is used to measure the diameter of uniform wire of length 6.8cm6 . 8cm, the main scale reading is 1.5mm1 . 5mm and circular scale reading is 77. The calculated curved surface area of wire to appropriate significant figures is
[Screw gauge has 5050 divisions on the circular scale]

Options

  1. A6.8cm26 . 8{cm}^{2}
  2. B3.4cm23 . 4{cm}^{2}
  3. C3.9cm23 . 9{cm}^{2}
  4. D2.4cm22 . 4{cm}^{2}

Correct answer

B. 3.4cm23 . 4{cm}^{2}

Step-by-step solution

Least Count (L.C)=PN=0.5mm50=0.01mm= \dfrac{P}{N} = \dfrac{0 . 5mm}{50} = 0 . 01mm

Length of wire =6.8cm= 6 . 8cm

Diameter of wire =1.5mm+7×= 1 . 5mm + 7 \times L.C

=1.5mm+7×.01=1.57mm= 1 . 5mm + 7 \times . 01 = 1 . 57mm

Curved surface area =\piDl= \piDl

=3.14×6.8×1.57×10−1cm2= 3 . 14 \times 6 . 8 \times 1 . 57 \times {10}^{- 1}{cm}^{2}

=3.352cm2=3.4cm2= 3 . 352{cm}^{2} = 3 . 4{cm}^{2}

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