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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Experimental Physics

NTA Abhyas 2020 · Physics · Experimental Physics

Smallest division on the main scale of given Vernier calipers is...

Smallest division on the main scale of given Vernier calipers is 0.50.5 mm. Vernier scale has 2525 divisions and these coincide with 2424 main scale divisions. The least count of Vernier callipers is

Options

  1. A0.0010.001 cm
  2. B0.0020.002 cm
  3. C0.010.01 cm
  4. D0.020.02 cm

Correct answer

B. 0.0020.002 cm

Step-by-step solution

25VSD=24MSD25VSD = 24MSD

1VSD=2425MSD1VSD = \dfrac{24}{25}MSD.......(i)

The least count of Vernier calipers is LC=1MSD−1VSDLC = 1MSD - 1VSD

=1MSD−2425MSD=125MSD= 1MSD - \dfrac{24}{25}MSD = \dfrac{1}{25}MSD (using (i))

As 1MSD=0.5mm1MSD = 0.5mm (given)

∴LC=125(0.5mm)=0.02mm=0.002cm∴ LC = \dfrac{1}{25} ( 0.5mm ) = 0.02mm = 0.002cm
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