Smallest division on the main scale of given vernier calipers is 0.5 mm. Vernier scale has 25 divisions and these coincide with 24 main scale divisions. The least count of vernier calipers is

Question

Smallest division on the main scale of given vernier calipers is 0.5 mm. Vernier scale has 25 divisions and these coincide with 24 main scale divisions. The least count of vernier calipers is (A) 0.001 cm (B) 0.002 cm (C) 0.01 cm (D) 0.02 cm

Tardigrade Admin · Accepted Answer

Least count of vernier calliper L C=1 M S D-1 V S D where, M S D= Main Scale Division VSD = Vernier Scale Division =0.5 mm -(24/25) M S D =0.5 mm -(24/25) × 0.5 mm =0.5 m (1-(24/25))=0.5 mm × (1/25) =(1/50) mm =0.02 mm =0.002 cm

Q. Smallest division on the main scale of given vernier calipers is $0.5 mm$ . Vernier scale has $25$ divisions and these coincide with $24$ main scale divisions. The least count of vernier calipers is

0.001 cm

0.002 cm

0.01 cm

0.02 cm

Least count of vernier calliper $L C = 1 MS D - 1 V S D$
where, $MS D =$ Main Scale Division VSD = Vernier Scale Division
$= 0.5 mm - \frac{24}{25} MS D$
$= 0.5 mm - \frac{24}{25} \times 0.5 mm$
$= 0.5 m (1 - \frac{24}{25}) = 0.5 mm \times \frac{1}{25}$
$= \frac{1}{50} mm = 0.02 mm = 0.002 c m$

Q. Smallest division on the main scale of given vernier calipers is 0.5mm. Vernier scale has 25 divisions and these coincide with 24 main scale divisions. The least count of vernier calipers is