Experimental Physics Question 1

Question 1 - 2024 (01 Feb Shift 1)

10 divisions on the main scale of a Vernier calliper coincide with 11 divisions on the Vernier scale. If each division on the main scale is of 5 units, the least count of the instrument is :

(1) $\frac{1}{2}$

(2) $\frac{10}{11}$

(3) $\frac{50}{11}$

(4) $\frac{5}{11}$

Show Answer

Answer: (4)

Solution:

$10 \mathrm{MSD}=11 \mathrm{VSD}$

$1 \mathrm{VSD}=\frac{10}{11} \mathrm{MSD}$

$\mathrm{LC}=1 \mathrm{MSD}-1 \mathrm{VSD}$

$=1 \mathrm{MSD}-\frac{10}{11} \mathrm{MSD}$

$=\frac{1 \mathrm{MSD}}{11}$

$=\frac{5}{11}$ units