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NEET Sample Paper NEET Sample Test Paper-81

  • question_answer
    If in a vernier calliper, one main scale division is equal to M units and nth division of main scale coincides with \[{{\left( n +1 \right)}^{th}}\] division of vernier scale, then least count of vernier is

    A)  \[\frac{nM}{n+1}\]                  

    B)  \[\frac{nM}{M+1}\]

    C)  \[\frac{M}{n+1}\]                    

    D)  None of these

    Correct Answer: C

    Solution :

    If \[\operatorname{VSD} = Vernier Scale Division\] and \[\operatorname{MSD} = Main Scale Division\] Given, \[\left( n +1 \right) VSD =\,\,n MSD\] \[\Rightarrow \,\,\,\,\left( n+1 \right)VSD\,\,=\,\,nM (given 1 MSD =\,\,M)\] \[\Rightarrow \,\,\,\,\,\,\,\,1\,VS=\frac{nM}{n+1}\] Now, vernier constant \[= \,1 MSD -1 VSD\] \[=\,\,\,M-\frac{nM}{n+1}=\frac{M}{n+1}\]


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