Advertisements
Advertisements
प्रश्न
The main scale of a vernier callipers is calibrated in mm and 19 divisions of main scale are equal in length to 20 divisions of the vernier scale. In measuring the diameter of a cylinder by this instrument, the main scale reads 35 divisions and 4th division of vernier scale coincides with a main scale division. Find
(i) Least count and (ii) Radius of a cylinder.
Advertisements
उत्तर
(i) Value of 1 m.s.d = 1 mm = 0.1 cm
20 vernier divisions = 19 m.s.d.
L.C. = Value of 1 m.s.d./number of divisions on the vernier scale
= 1mm/20
= (0.1/20) cm
= 0.005 cm
(ii) Main scale reading = 35 mm = 3.5 cm
Since 4th division of the main scale coincides with the main scale, i.e. p = 4.
Therefore, the vernier scale reading = 4 × 0.005 cm = 0.02 cm
Total reading = Main scale reading + vernier scale reading
= (3.5 + 0.02) cm
= 3.52 cm
Radius of the cylinder = `"Diameter (Total reading)"/ 2`
= `(3.52/2)` cm
= 1.76 cm
APPEARS IN
संबंधित प्रश्न
A vernier has 10 divisions and they are equal to 9 divisions of the main scale in length. If the main scale is calibrated in mm, what is its least count?
What do you understand by amplitude of simple pendulum?
Name two factors on which the time period of a simple pendulum depends. Write the relation for the time period in terms of the above named factors.
Two simple pendulums A and B have equal lengths, but their bobs weigh 50 gf and 100 gf, respectively. What would be the ratio of their time periods? Give reasons for your answer.
A seconds pendulum is taken to a place where acceleration due to the gravity falls to one-fourth. How is the time period of the pendulum affected, if at all? Give reasons. What will be its new time period?
Name the convenient unit you will use to measure:
diameter of hair
Name the most convenient unit of mass you will use to measure:
Mass of small amount of medicine.
Name the most convenient unit of mass you will use to measure:
Mass of a cricket ball.
Which of the following measurement is most accurate?
