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JEE Main
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Physics
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Experimental Physics

JEE Main · Physics · Experimental Physics

The thin metallic strip of vernier calipers moves downward from top...

The thin metallic strip of vernier calipers moves downward from top to bottom in such a way that it just touches the surface of beaker. Main scale reading of caliper is 6.4cm6 . 4cm whereas its vernier constant is 0.1 mmmm. The 4th{4}^{th} of vernier scale division is coinciding with main scale division. The actual depth of beaker in mmmm is (when zero of vernier coincides with zero of main scale),

Options

  1. A6.64cm6 . 64cm
  2. B6.42cm6 . 42cm
  3. C6.44cm6 . 44cm
  4. D6.13cm6 . 13cm

Correct answer

C. 6.44cm6 . 44cm

Step-by-step solution

We are measuring the depth from metallic strip of vernier calipers.

Given,

The least count of vernier calipers& LS=0.1mm=0.01cmLS = 0 . 1mm = 0 . 01cm

Main scale reading~MSR=6.4cmMSR = 6 . 4cm

Vernier scale reading~VSR=4VSR = 4

So the reading of the depth,D=MSR+(VSR×LC)=6.4+(4×0.01)=6.44cmD = MSR + ( VSR \times LC ) = 6 . 4 + ( 4 \times 0 . 01 ) = 6 . 44cm

Because, there is no zero error, so depth will be same as above.

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