Experimental Physics

JEE Main level, single correct, medium

41 of 70

Question 41 of 70

One main scale division of a vernier callipers is aa cmcm and nth{n}^{th} division of the vernier scale coincide with (n−1)th{\left(n-1\right)}^{th} division of the main scale. The least count of the callipers in mmmm is :

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Answer: (D) 10an\dfrac{10a}{n}

(n−1)a=n(a′)\left(n-1\right)a=n\left({a}^{'}\right)
a′=(n−1)an{a}^{'}=\dfrac{\left(n-1\right)a}{n}
∴L.C.=1MSD−1VSD∴L.C.=1MSD-1VSD
=(a−a′)cm=\left(a-{a}^{'}\right)cm
=a−(n−1)an=a-\dfrac{\left(n-1\right)a}{n}
=na−na+an=ancm=\dfrac{na-na+a}{n}=\dfrac{a}{n}cm
=(10an)mm=\left(\dfrac{10a}{n}\right)mm

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